Designation: E1994 − 09 (Reapproved 2013)

An American National Standard

Standard Practice for

Use of Process Oriented AOQL and LTPD Sampling Plans1
This standard is issued under the fixed designation E1994; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.

INTRODUCTION

This standard is an abbreviated compilation of the sampling plans presented by H.F. Dodge and
H.G. Romig in their classic development of sampling plans for use with the process associated with
a continuing supply of products. The so called AOQL plans provide a means for disposition of product
whether or not the process is in control as well as incentives for process improvement in terms of
reduced sample size as the process average percent defective is lowered. In addition, so called LTPD
plans are provided for use with individual lots of product, not necessarily associated with a process
stream.
The sampling plans and parts of the text given here are taken from the Wiley Classics Library
Edition of the Dodge-Romig tables (copyright 1998). Additional tables and detailed discussion of the
plans, OC curves, and their derivation will be found in that text.2 The theoretical development of the
Dodge-Roming plans will be found in Volumes 8 and 20 of the Bell System Technical Journal3,4 and
an amplification of the plans is given in Acceptance Sampling in Quality Control.5
1. Scope

3. Terminology

1.1 This practice is primarily a statement of principals for
the guidance of ASTM technical committees and others in the

use of Average Outgoing Quality Limit, AOQL, and Lot
Tolerance Percent Defective, LTPD, sampling plans for determining acceptable of lots of product.

3.1 Definitions—Terminology E456 provides a more extensive list of terms in E11 standards.
3.2 average quality protection—a type of protection in
which there is prescribed some chosen value of average percent
defective in the product after inspection (average outgoing
quality limit (AOQL), that shall not be exceeded in the long
run no matter what may be the level of percent defective in the
product submitted to the inspector.
3.3 average outgoing quality (AOQ)—the average percent
defective of outgoing product including all accepted lots or
batches, after any defective units found in them are replaced by
acceptable units, plus all lots or batches which are not accepted
after such lots or batches have been effectively 100 % inspected and all defective units replaced by acceptable units.
3.4 average outgoing quality limit (AOQL)—the maximum
of the AOQs for all possible incoming percentages defective
for the process, for a given acceptance sampling plan.
3.5 lot quality protection—a type of protection in which
there is prescribed some chosen value of limiting percent
defective in a lot (lot tolerance percent defective, (LTPD)) and
also some chosen value for the probability (called the consumer’s risk) of accepting a submitted lot that has a percent
defective equal to the lot tolerance percent defective.
3.6 lot tolerance percent defective (LTPD)—for purposes of
acceptance sampling, the percentage of defective units in a lot
for which the consumer has a stated low probability of
acceptance of the lot.

2. Referenced Documents
2.1 ASTM Standards:6

E178 Practice for Dealing With Outlying Observations
E456 Terminology Relating to Quality and Statistics

1
This practice is under the jurisdiction of ASTM Committee E11 on Quality and
Statistics and is the direct responsibility of Subcommittee E11.30 on Statistical
Quality Control.
Current edition approved April 1, 2013. Published April 2013. Originally
approved in 1998. Last previous edition approved in 2009 as E1994 – 09. DOI:
10.1520/E1994-09R13.
2
Available from John Wiley and Sons, Inc., 605 Third Ave., New York, NY
10158.
3
Dodge, H. F. and Romig, H. G., “A Method of Sampling Inspection,” The Bell
System Technical Journal, Vol 8 , No. 10, 1924, pp. 613–631.
4
Dodge, H. F. and Romig, H. G., “Single Sampling and Double Sampling
Inspection Tables,” The Bell System Technical Journal, Vol 20, No. 1, 1941, pp.
1–61.
5
Schilling, E. G., Acceptance Sampling in Quality Control, Marcel Dekker Inc.,
NY, 1982, pp. 372–399.
6
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
contact ASTM Customer Service at For Annual Book of ASTM
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website.

Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States


1


E1994 − 09 (2013)
sampling. This results in the selection of one of the appended
tables. The second step is to determine whether the quality of
product is good enough to warrant the introduction of sampling. The economies of sampling will be realized, of course,
only insofar as the percent defective in submitted product is
such that the acceptance criteria of the selected sampling plan
will be met. A statistical analysis of past inspection results
should first be made, therefore, in order to determine existing
levels and fluctuations in the percent defective for the characteristic or the group of characteristics under consideration. This
provides information with respect to the degree of control as
well as the usual level of percent defective to be expected
under existing conditions. Determine a value from this and
other information for the process average percent defective
that should be used in applying the selected sampling table, if
sampling is to be introduced.

3.7 Definitions of Terms Specific to This Standard:
3.7.1 consumer’s risk—the probability that a lot whose
percentage defective is equal to the LTPD will be accepted by
the plan.
4. Significance and Use
4.1 Two general types of tables (Note 1) are given, one
based on the concept of lot tolerance, LTPD, and the other on
AOQL. The broad conditions under which the different types
have been found best adapted are indicated below.
4.1.1 For each of the types, tables are provided both for

single sampling and for double sampling. Each of the individual tables constitutes a collection of solutions to the
problem of minimizing the over-all amount of inspection.
Because each line in the tables covers a range of lot sizes, the
AOQL values in the LTPD tables and the LTPD values in the
AOQL tables are often conservative.

5. Procedure

NOTE 1—Tables in Annex A1-Annex A4 and parts of the text are
reproduced by permission of John R. Wiley and Sons. More extensive
tables and discussion of the methods will be found in that text.

5.1 Two distinct methods of inspection are employed, single
sampling and double sampling. In single sampling only one
sample is permitted before a decision is reached regarding the
disposition of the lot, and the acceptance criterion is expressed
as an acceptance number, c. In double sampling, a second
sample is permitted and two acceptance numbers are used; the
first, c1, applying to the observed number of defectives for the
first sample alone and the second, c2, applying to the observed
number of defectives for the first and second samples combined. The specific procedures assumed in the development of
the tables are as follows:
5.1.1 Single Sampling Inspection Procedure:
5.1.1.1 Inspect a sample of n pieces.
5.1.1.2 If the number of defectives found in the sample does
not exceed c, the acceptance number, accept the lot.
5.1.1.3 If the number of defectives found in the sample
exceeds c, inspect all the pieces in the remainder of the lot.
5.1.1.4 Regardless of whether or not the lot was accepted,
correct or replace all defective pieces found in the sample as

well as in any subsequent inspection of the remainder of the
lot.
5.1.2 Double Sampling Inspection Procedure:
5.1.2.1 Inspect a first sample of n1 pieces.
5.1.2.2 If the number of defectives found in the first sample
does not exceed c1, the acceptance number for the first sample,
accept the lot.
5.1.2.3 If the number of defectives found in the first sample
exceeds c2, the acceptance number for the combined first and
second samples, inspect all the pieces in the remainder of the
lot.
5.1.2.4 If the number of defectives found in the first sample
exceeds c1, but does not exceed c2, inspect a second sample of
n2 pieces.
5.1.2.5 If the total number of defectives found in the first
and second samples combined does not exceed c2, accept the
lot.
5.1.2.6 If the total number of defectives found in the first
and second samples combined exceeds c2, inspect all the pieces
in the remainder of the lot.

4.2 The sampling tables based on lot quality protection
(LTPD) (the tables in Annex A1 and Annex A2) are perhaps
best adapted to conditions where interest centers on each lot
separately, for example, where the individual lot tends to retain
its identity either from a shipment or a service standpoint.
These tables have been found particularly useful in inspections
made by the ultimate consumer or a purchasing agent for lots
or shipments purchased more or less intermittently.
4.3 The sampling tables based on average quality protection

(AOQL) (the tables in Annex A3 and Annex A4) are especially
adapted for use where interest centers on the average quality of
product after inspection rather than on the quality of each
individual lot and where inspection is, therefore, intended to
serve, if necessary, as a partial screen for defective pieces. The
latter point of view has been found particularly helpful, for
example, in consumer inspections of continuing purchases of
large quantities of a product and in manufacturing process
inspections of parts where the inspection lots tend to lose their
identity by merger in a common storeroom from which
quantities are withdrawn on order as needed.
4.4 The plans based on average quality protection (AOQL)
consider the degree to which the entire inspection procedure
screens out defectives in the product submitted to the inspector.
Lots accepted by sample undergo a partial screening through
the elimination of defectives found in samples. Lots that fail to
be accepted by sample are completely cleared of defectives.
Obviously, this requires a nondestructive test. The over-all
result is some average percent defective in the product as it
leaves the inspector, termed the average outgoing quality,
which depends on the level of percent defective for incoming
product and the proportion of total defectives that are screened
out.
4.5 Given a specific problem of replacing a 100 % screening
inspection by a sampling inspection, the first step is to decide
on the type of protection desired, to select the desired limit of
percent defective lot tolerance (LTPD) or AOQL value for that
type of protection, and to choose between single and double
2



E1994 − 09 (2013)
a continuing supply of product, especially in consumer’s
acceptance inspections and in producer’s receiving, process,
and final inspections.
5.3.3.2 Choose AOQL for a percent defective that will
almost always be safely met by the running average quality of
product after inspection.
5.3.3.3 Choose LTPD for a percent defective that will
almost always be met by each lot. (This will be a much more
pessimistic figure than the AOQL value of the plan).
5.3.3.4 As a manufacturer trying to meet a consumer’s
stated AQL (Note 2), use for final inspection an AOQL plan
with an AOQL value equal to the specified AQL value, in order
to provide good assurance that outgoing quality will be found
acceptable by the consumer (or set the AOQL at one and one
third times the AQL for reasonably good assurance).

5.1.2.7 Regardless of whether or not the lot was accepted,
correct or replace all defective pieces found in either sample as
well as any in subsequent inspection or the remainder of the
lot.
5.2 In choosing a sampling plan for a particular application,
a number of decisions must be made which depend on the
conditions under which the plan is to be used. The accompanying Sequence of Steps gives an outline of a typical procedure. These steps are shown in the following numbered
paragraphs.
5.3 Sequence of Steps:
5.3.1 Decide what characteristics will be included in the
inspection.
5.3.1.1 If advantageous, use a separate sampling plan for a

single characteristic or selected group of characteristics of like
importance. Sampling need not wait until all characteristics
have good quality.
5.3.1.2 If one or two characteristics give an outstandingly
high number of defective units, treat them separately (using
100 percent inspection; also, if possible, concentrate on correcting the causes of trouble) and include the rest collectively
in the sampling inspection.
5.3.1.3 If all characteristics have satisfactory quality, include all of them collectively in the sampling inspection.
5.3.1.4 In general, combine at one inspection station characteristics subject to essentially similar inspection operations,
for example, all visual inspection items together, all gauging,
or all testing. Visual and gauging inspection operations often
combine well.
5.3.1.5 Include in any group characteristics of essentially
the same degree of seriousness. If two degrees of seriousness
are involved, say major and minor, keep all majors together in
one group and all minors in a second group.
5.3.1.6 Consider these plans applicable to all basic types of
inspection for manufactured products receiving, process, and
final and to the inspection of administrative and clerical
products as in paper-work quality control.
5.3.2 Decide what is to constitute a lot for purposes of
sampling inspection.
5.3.2.1 So far as practicable, require that individual lots
presented for acceptance comprise essentially homogeneous
material from a common source.
5.3.2.2 If presented material comes from two or more direct
sources not under a common system of control, arrange to have
each presented lot comprise material from only one of those
sources; otherwise have source identification information furnished with each lot.
5.3.2.3 To minimize the amount of inspection, make the lots

as large as practicable, considering the limitations of available
storage space, delays in shipment, difficulty in handling large
rejected lots, etc.
5.3.3 Choose between lot quality (LTPD) and average
outgoing quality (AOQL) protection.
5.3.3.1 Choose AOQL if interest centers on the general level
of quality of product after inspection. AOQL plans have been
found generally more useful than LTPD plans in inspections of

NOTE 2—AQL = Acceptable Quality Level, as used to index certain
systems of sampling plans, signifying what the consumer feels to be the
maximum percent defective that, for sampling purposes, can be considered satisfactory as a process average.

5.3.3.5 When producer and consumer of a product are two
departments of the same company, use AOQL plans with the
provision that the producer perform the 100 percent inspection
of rejected lots. Close interchange of quality findings will
expedite good process control of quality.
5.3.3.6 Wherever practicable, make arrangements for the
producer to perform the 100 percent inspection of rejected lots
under procedures acceptable to the consumer and to provide
suitable certifications of work performed.
5.3.4 Choose a suitable figure of quality (LTPD or AOQL)
for the sampling plan
5.3.4.1 For LTPD, choose the value of percent defective for
lot acceptance not more than 10 % of the time (that is, reject at
least 90 % of the time).
5.3.4.2 For AOQL, choose the value of average percent
defective in product after inspection that should not be exceeded.
5.3.4.3 In choosing a value of LTPD (or AOQL), consider

and compare the cost of inspection with the economic loss that
would ensue if quality as bad as the LTPD were accepted often
(or if the average level of percent defective were greater than
the AOQL). Even though the evaluation of economic loss may
be difficult, relative values for different levels of percent
defective may often be determined.
5.3.5 Choose between single sampling and double sampling.
5.3.5.1 In general, for economy in overall inspection effort,
use double sampling rather than single sampling.
5.3.5.2 In general, for minimum variation in the inspector’s
workload, use single sampling.
5.3.5.3 Consider adopting double sampling as the normal
standard for sampling plans in a given plant, with a view to
effecting overall economies.
5.3.5.4 In a particular case, for a given AOQL and given
process average, compare the OC curves of the two sampling
plans (single sampling and double sampling) as an aid in
making a choice. (Note 3)
NOTE 3—See the Dodge-Romig text for OC curves.

3


E1994 − 09 (2013)
those units whose serial numbers correspond to the numbers in
some section of a listing of random numbers are included in the
sample.
5.3.10.2 If a double sampling plan has been chosen, consider selecting sample units for both samples at the same time.
5.3.11 Follow the sampling inspection procedure for single
sampling or double sampling, whichever was chosen.

5.3.11.1 Inspect each unit in the sample for all the characteristics decided on in Section 5.3.
5.3.11.2 If single sampling is being used, inspect all units in
the sample even though the acceptance number is exceeded
before all units have been inspected. This facilitates estimation
of the process average.
5.3.11.3 If double sampling is being used, inspect all units
in the first sample; if desired, discontinue inspection of the
second sample when the acceptance number, c2, is exceeded.
5.3.12 Keep a running check on the process average and
change the sampling plan if the process average changes
sufficiently.
5.3.12.1 Adopt a definite plan for making periodic estimates
of the process average, every 20 or 50 lots or every month,
quarter, or six months, depending on the production rate and
the quality history.
5.3.12.2 Keep the producing organization informed of the
running quality of presented product, preferably in control
chart form, and furnish prompt information regarding any
sudden adverse shifts in quality.
5.3.12.3 Change from one sampling plan to another within a
sampling table, as the process average changes from one
general level to another. This provides a general basis for
tightened and reduced inspection while holding to a given
AOQL or LTPD. If, with stable quality at an excellent level, it
is desired to reduce inspection even further, use a larger AOQL
or LTPD value, twice as large as the basic AOQL or LTPD.

5.3.6 Select the proper sampling table in Annex A1-Annex
A4, on the basis of the above choices.
5.3.7 Obtain an estimate of process average percent defective.

5.3.7.1 Use recent data to estimate the process average.
5.3.7.2 Use rough estimates at the start, if little or no actual
data are available; a poor estimate merely prevents getting the
most economical plan but keeps the same (LTPD or AOQL)
protection.
5.3.7.3 As more data are collected, make improved estimates of process average.
5.3.7.4 Omit wild and obviously nonrepresentative sets of
data in making estimates and adopt some suitable rule for
discarding data. (see Practice E178)
5.3.8 Choose a sampling plan for the given lot size and the
estimated process average.
5.3.8.1 If the estimated process average percent defective,
PA, falls within the range of PA values in the selected table,
choose the sampling plan corresponding to the PA value and to
the given lot size.
5.3.8.2 If the PA is unknown or is estimated to be larger than
the largest PA value given in the table, choose the sampling
plan corresponding to the largest PA in the table (last column)
and to the given lot size.
5.3.8.3 Under 5.3.8.2, obtain revised estimates of the PA
from the lot-by-lot data and use a sampling plan with a smaller
sample size as soon as a revised estimate of the PA permits.
5.3.8.4 If, for single sampling, the sampling plan given by
the table has c = 0, consider whether it would be preferable to
use a plan with c = 1 to avoid making rejections on finding a
single defective. There is no such problem for double
sampling, since c2 always equals 1 or more.
5.3.8.5 If inspection includes two classes of defects, major
and minor, with two AOQL values, choose the two sampling
plans from the appropriate tables in the Annexes and use them

simultaneously.
5.3.9 Check the OC curve of the chosen plan(s). (Note 4)

6. Precision and Bias
6.1 The use of this standard assumes that test methods are
used with sufficient precision and accuracy that test results can
be safely translated into attribute (go-no go) results.

NOTE 4—See the Dodge–Romig text for OC Curves.

5.3.10 From the lot, select sample units by means of a
random procedure.
5.3.10.1 Consider the use of random numbers as the preferred way of selecting sample units at random. Each unit in
the lot is assigned a serial number usually on paper, and then

7. Keywords
7.1 average outgoing quality limit; lot tolerance percent
defective; sampling; sampling plans

4


E1994 − 09 (2013)
ANNEXES
(Mandatory Information)
A1. SINGLE SAMPLING TABLES FOR STATED VALUES OF LOT TOLERANCE PERCENT DEFECTIVE (LTPD) WITH
CONSUMER’S RISK OF 0.10, 0.5 % LTPD, 1.0 % LTP, 2.0 % LTP, 5.0 % LTPD, 10.0 % LTPD

A1.1 Tables A1.1-A1.5 illustrate single sampling stated
values of lot tolerance percent.

TABLE A1.1 Single Sampling Table for Lot Tolerance Percent Defective (LTPD) = 0.5 %

NOTE 1—n = sample size; c = acceptance number; AOQL = average outgoing quality limit; “all” indicates that each piece in the lot is to be inspcted.

1–180
181–210
211–250

Process Average
0 to 0.005 %
AOQL
n
c
%
all
0
0
180
0
0.02
210
0
0.03

Process Average
0.006 to 0.050 %
AOQL
n
c
%

all
0
0
180
0
0.02
210
0
0.03

Process Average
0.051 to 0.100 %
AOQL
n
c
%
all
0
0
180
0
0.02
210
0
0.03

Process Average
0.101 to 0.150 %
AOQL
n

c
%
all
0
0
180
0
0.02
210
0
0.03

Process Average
Process Average
0.151 to 0.200 %
0.201 to 0.250 %
AOQL
AOQL
n
c
n
c
%
%
all
0
0
all
0
0

180
0
0.02 180
0
0.02
210
0
0.03 210
0
0.03

251–300
301–400
401–500

240
275
300

0
0
0

0.03
0.04
0.05

240
275
300


0
0
0

0.03
0.04
0.05

240
275
300

0
0
0

0.03
0.04
0.05

240
275
300

0
0
0

0.03

0.04
0.05

240
275
300

0
0
0

0.03
0.04
0.05

240
275
300

0
0
0

0.03
0.04
0.05

501–600
601–800
801–1000


320
350
365

0
0
0

0.05
0.06
0.06

320
350
365

0
0
0

0.05
0.06
0.06

320
350
365

0

0
0

0.05
0.06
0.06

320
350
365

0
0
0

0.05
0.06
0.06

320
350
365

0
0
0

0.05
0.06
0.06


320
350
365

0
0
0

0.05
0.06
0.06

1001–2000
2001–3000
3001–4000

410
430
440

0
0
0

0.07
0.07
0.07

410

430
440

0
0
0

0.07
0.07
0.07

410
705
730

0
1
1

0.07
0.09
0.09

670
705
985

1
1
2


0.08
0.09
0.10

670
955
1230

1
2
3

0.08 670
0.10 955
0.11 1230

1
2
3

0.08
0.10
0.11

4001–5000
5001–7000
7001–10 000

445

450
455

0
0
0

0.08
0.08
0.08

740
750
760

1
1
1

0.10
0.10
0.10

1000
1020
1040

2
2
2


0.11
0.12
0.12

1000
1280
1530

2
3
4

0.11
0.12
0.14

1250
1510
1790

3
4
5

0.12 1480
0.13 1760
0.14 2240

4

5
7

0.12
0.14
0.16

10 001–20 000
20 001–50 000
50 001–100 000

460
775
780

0
1
1

0.08
0.11
0.11

775
1050
1060

1
2
2


0.10
0.13
0.13

1330
1600
1840

3
4
5

0.14
0.15
0.17

1820
2080
2590

5
5
8

0.16
0.18
0.19

2300

3060
3780

7
10
13

0.17 2780
0.20 4200
0.22 5140

9
15
19

0.18
0.22
0.24

Lot Size

5


E1994 − 09 (2013)
TABLE A1.2 Single Sampling Table for Lot Tolerance Percent Defective (LTPD) = 1.0 %

NOTE 1—n = sample size; c = acceptance number; AOQL = average outgoing quality limit; “all” indicates that each piece in the lot is to be inspcted.

1–120

121–150
151–200

Process Average
0 to 0.010 %
AOQL
n
c
%
all
0
0
120
0
0.06
140
0
0.08

Process Average
0.011 to 0.10 %
AOQL
n
c
%
all
0
0
120
0

0.06
140
0
0.08

Process Average
0.11 to 0.20 %
AOQL
n
c
%
all
0
0
120
0
0.06
140
0
0.08

Process Average
0.21 to 0.30 %
AOQL
n
c
%
all
0
0

120
0
0.06
140
0
0.08

Process Average
Process Average
0.31 to 0.40 %
0.41 to 0.50 %
AOQL
AOQL
n
c
n
c
%
%
all
0
0
all
0
0
120
0
0.06 120
0
0.06

140
0
0.08 140
0
0.08

201–300
301–400
401–500

165
175
180

0
0
0

0.10
0.12
0.13

165
175
180

0
0
0


0.10
0.12
0.13

165
175
180

0
0
0

0.10
0.12
0.13

165
175
180

0
0
0

0.10
0.12
0.13

165
175

180

0
0
0

0.10
0.12
0.13

165
175
180

0
0
0

0.10
0.12
0.13

501–600
601–800
801–1000

190
200
205


0
0
0

0.13
0.14
0.14

190
200
205

0
0
0

0.13
0.14
0.14

190
200
205

0
0
0

0.13
0.14

0.14

190
330
335

0
1
1

0.13
0.15
0.17

190
330
335

0
1
1

0.13
0.15
0.17

305
330
335


1
1
1

0.14
0.15
0.17

1001–2000
2001–3000
3001–4000

220
220
225

0
0
0

0.15
0.15
0.15

220
375
380

0
1

1

0.15
0.20
0.20

360
505
510

1
2
2

0.19
0.23
0.24

490
630
645

2
3
3

0.21
0.24
0.25


490
745
880

2
4
5

0.21 610
0.26 870
0.28 1000

3
5
6

0.22
0.26
0.29

4001–5000
5001–7000
7001–10 000

225
230
230

0
0

0

0.16
0.15
0.16

380
385
520

1
1
2

0.20
0.21
0.25

520
655
660

2
3
3

0.24
0.27
0.28


770
780
910

4
4
5

0.28
0.29
0.32

895
1020
1150

5
6
7

0.29 1120
0.32 1260
0.34 1500

7
8
10

0.31
0.34

0.37

10 001–20 000
20 001–50 000
50 001–100 000

390
390
390

1
1
1

0.21
0.21
0.21

525
530
670

2
2
3

0.26
0.26
0.29


785
920
1040

4
5
6

0.31
0.34
0.36

1040
1300
1420

6
8
9

0.35
0.39
0.41

1400
1890
2120

9
13

15

0.39 1980
0.44 2570
0.47 3150

14
19
23

0.43
0.48
0.50

Lot Size

TABLE A1.3 Single Sampling Table for Lot Tolerance Percent Defective (LTPD ) = 2.0 %

NOTE 1—n = sample size; c = acceptance number; AOQL = average outgoing quality limit; “all” indicates that each piece in the lot is to be inspcted.
Lot Size

Process Average
0 to 0.02 %

Process Average
0.03 to 0.20 %

Process Average
0.21 to 0.40 %


Process Average
0.41 to 0.60 %

Process Average
0.61 to 0.80 %

Process Average
0.81 to 1.00 %

n

c

AOQL
%

n

c

AOQL
%

n

c

AOQL
%


n

c

AOQL
%

n

c

AOQL
%

n

c

AOQL
%

1–75
76–100
101–200

all
70
85

0

0
0

0
0.16
0.25

all
70
85

0
0
0

0
0.16
0.25

all
70
85

0
0
0

0
0.16
0.25


all
70
85

0
0
0

0
0.16
0.25

all
70
85

0
0
0

0
0.16
0.25

all
70
85

0

0
0

0
0.16
0.25

201–300
301–400
401–500

95
100
105

0
0
0

0.26
0.28
0.28

95
100
105

0
0
0


0.26
0.28
0.28

95
100
105

0
0
0

0.26
0.28
0.28

95
160
165

0
1
1

0.26
0.32
0.34

95

160
165

0
1
1

0.26
0.32
0.34

95
160
165

0
1
1

0.26
0.32
0.34

501–600
601–800
801–1000

105
110
115


0
0
0

0.29
0.29
0.28

105
110
115

0
0
0

0.29
0.29
0.28

175
180
185

1
1
1

0.34

0.36
0.37

175
240
245

1
2
2

0.34
0.40
0.42

175
240
305

1
2
3

0.34
0.40
0.44

235
300
305


2
3
3

0.36
0.41
0.44

1001–2000
2001–3000
3001–4000

115
115
115

0
0
0

0.30
0.31
0.31

190
190
195

1

1
1

0.40
0.41
0.41

255
260
330

2
2
3

0.47
0.48
0.54

325
385
450

3
4
5

0.50
0.58
0.63


380
450
510

4
5
6

0.54
0.60
0.65

440
565
690

5
7
9

0.56
0.64
0.70

4001–5000
5001–7000
7001–10 000

195

195
195

1
1
1

0.41
0.42
0.42

260
265
265

2
2
2

0.50
0.50
0.50

335
335
395

3
3
4


0.54
0.55
0.62

455
515
520

5
6
6

0.63
0.69
0.69

575
640
760

7
8
10

0.69 750
0.73 870
0.79 1050

10

12
15

0.74
0.80
0.86

10 001–20 000
20 001–50 000
50 001–100 000

200
200
200

1
1
1

0.42
0.42
0.42

265
335
335

2
3
3


0.51
0.58
0.58

460
520
585

5
6
7

0.67
0.73
0.76

650
710
770

8
9
10

0.77
0.81
0.84

885

1060
1180

12
15
17

0.86 1230
0.93 1520
0.97 1690

18
23
26

0.94
1.0
1.1

6


E1994 − 09 (2013)
TABLE A1.4 Single Sampling Table for Lot Tolerance Percent Defective (LTPD) = 5.0 %

NOTE 1—n = sample size; c = acceptance number; AOQL = average outgoing quality limit; “all” indicates that each piece in the lot is to be inspcted.
Lot Size

Process Average
0 to 0.05 %


Process Average
0.06 to 0.50 %

Process Average
0.51 to 1.00 %

Process Average
1.01 to 1.50 %

Process Average
1.51 to 2.00 %

Process Average
2.01 to 2.50 %

n

c

AOQL
%

n

c

AOQL
%


n

c

AOQL
%

n

c

AOQL
%

n

c

AOQL
%

n

c

AOQL
%

1–30
31–50

51–100
101–200

all
30
37
40

0
0
0
0

0
0.49
0.63
0.74

all
30
37
40

0
0
0
0

0
0.49

0.63
0.74

all
30
37
40

0
0
0
0

0
0.49
0.63
0.74

all
30
37
40

0
0
0
0

0
0.49

0.63
0.74

all
30
37
40

0
0
0
0

0
0.49
0.63
0.74

all
30
37
40

0
0
0
0

0
0.49

0.63
0.74

201–300
301–400
401–500

43
44
45

0
0
0

0.74
0.74
0.75

43
44
75

0
0
1

0.74
0.74
0.95


70
70
100

1
1
2

0.92
0.99
1.1

70
100
100

1
2
2

0.92
1.0
1.1

95
120
125

2

3
3

0.99
1.1
1.2

95
145
150

2
4
4

0.99
1.1
1.2

501–600
601–800
801–1000

45
45
45

0
0
0


0.76
0.77
0.78

75
75
75

1
1
1

0.98
1.0
1.0

100
100
105

2
2
2

1.1
1.2
1.2

125

130
155

3
3
4

1.2
1.2
1.4

150
175
180

4
5
5

1.3
1.4
1.4

175
200
225

5
6
7


1.3
1.4
1.5

1001–2000
2001–3000
3001–4000

45
75
75

0
1
1

0.80
1.1
1.1

75
105
105

1
2
2

1.0

1.3
1.3

130
135
160

3
3
4

1.4
1.4
1.5

180
210
210

5
6
6

1.6
1.7
1.7

230
280
305


7
9
10

1.7
1.9
2.0

280
370
420

9
13
15

1.8
2.1
2.2

4001–5000
5001–7000
7001–10 000

75
75
75

1

1
1

1.1
1.1
1.1

105
105
105

2
2
2

1.3
1.3
1.3

160
185
185

4
5
5

1.5
1.7
1.7


235
260
260

7
8
8

1.8
1.9
1.9

330
350
380

11
12
13

2.0
2.2
2.2

440
490
535

16

18
20

2.2
2.4
2.5

10 001–20 000
20 001–50 000
50 001–100 000

75
75
75

1
1
1

1.1
1.1
1.1

135
135
160

3
3
4


1.4
1.4
1.6

210
235
235

6
7
7

1.8
1.9
1.9

285
305
355

9
10
12

2.0
2.1
2.2

425

470
515

15
17
19

2.3
2.4
2.5

610
700
770

23
27
30

2.6
2.7
2.8

TABLE A1.5 Single Sampling Table for Lot Tolerance Percent Defective (LTPD) = 10.0 %

NOTE 1—n = sample size; c = acceptance number; AOQL = average outgoing quality limit; “all” indicates that each piece in the lot is to be inspcted.
Lot Size

Process Average
0 to 0.10 %

n

c

1–20

all

0

21–50
51–100
101–200

17
20
22

201–300
301–400
401–500

AOQL
%

Process Average
0.11 to 1.00 %
n

c


0

all

0

0
0
0

1.3
1.5
1.5

17
20
22

23
23
23

0
0
0

1.5
1.5
1.5


501–600
601–800
801–1000

23
23
39

0
0
1

1001–2000
2001–3000
3001–4000

39
39
39

4001–5000
5001–7000
7001–10 000
10 001-20 000
20 001–50 000
50 001–100 000

AOQL
%


Process Average
1.01 to 2.00 %
n

c

0

all

0

0
0
0

1.3
1.5
1.5

17
20
35

38
38
38

1

1
1

1.9
2.0
2.0

1.5
1.6
2.1

38
38
50

1
1
2

1
1
1

2.1
2.1
2.1

50
50
50


39
39
39

1
1
1

2.1
2.1
2.2

39
39
39

1
1
1

2.2
2.2
2.2

AOQL
%

Process Average
2.01 to 3.00 %

n

c

0

all

0

0
0
1

1.3
1.5
2.0

17
33
48

50
50
50

2
2
2


2.3
2.4
2.5

2.1
2.1
2.6

65
65
65

3
3
3

2
2
2

2.6
2.6
2.6

80
80
90

50
65

65

2
3
3

2.6
3.0
3.0

65
80
95

3
4
5

3.0
3.2
3.3

AOQL
%

Process Average
3.01 to 4.00 %
n

c


0

all

0

0
1
2

1.3
1.7
2.2

17
33
48

65
65
75

3
3
4

2.4
2.5
2.8


2.7
2.8
2.8

80
90
90

4
5
5

4
4
5

3.1
3.1
3.4

105
115
130

90
105
105

5

6
6

3.5
3.6
3.6

120
120
130

7
7
8

3.7
3.7
4.0

7

AOQL
%

Process Average
4.01 to 5.00 %
AOQL
%

n


c

0

all

0

0

0
1
2

1.3
1.7
2.2

17
33
60

0
1
3

1.3
1.7
2.4


75
90
90

4
5
5

2.6
2.7
2.9

85
100
110

5
6
7

2.7
2.9
3.2

3.0
3.1
3.2

100

100
115

6
6
7

3.2
3.3
3.4

125
140
150

8
9
10

3.3
3.4
3.7

6
7
8

3.4
3.7
3.8


140
165
190

9
11
13

3.9
4.1
4.4

195
230
255

14
17
19

4.4
4.7
4.8

130
140
150

8

9
10

3.9
4.1
4.2

200
200
210

14
14
15

4.5
4.6
4.7

270
295
315

20
22
24

4.9
5.0
5.2


150
165
180

10
11
12

4.3
4.4
4.4

240
260
270

17
19
20

4.8
5.0
5.1

340
380
380

26

30
30

5.4
5.7
5.7


E1994 − 09 (2013)
A2. DOUBLE SAMPLING TABLES FOR STATED VALUES OF LOT TOLERANCE PERCENT DEFECTIVE (LTPD) WITH
CONSUMER RISK OF 0.10, 0.5 % LTPD, 1.0 % LTPD, 2.0 % LTPD, 5.0 % LTPD, 10.0 % LTPD

A2.1 Tables A2.1-A2.5 illustrate double sampling stated
values of lot tolerance percent.
TABLE A2.1 Double Sampling Table for
Lot Tolerance Percent Defective (LTPD) = .50 %
Lot Size

A

Process Average
0 to 0.005 %
Trial 2B
n 2 n 1 + n2 c 2
...
...
...
...
...
...


C

Trial
n1
all
180

1
c1
0
0

Process Average
0.006 to 0.050 %
Trial 2
n 2 n 1 + n2 c 2
...
...
...
...
...
...

Trial
n1
all
180

1

c1
0
0

Process Average
0.051 to 0.100 %
Trial 2
AOQLC
n2 n1 + n2 c2 in %
... ... ...
0
... ... ...
0.02

1–180
181–210

Trial 1
n1
c1
allD
0
180

211–250
251–300
301–400

210
240

275

0
0
0

...
...
...

...
...
...

...
...
...

0.03
0.03
0.04

210
240
275

0
0
0


...
...
...

...
...
...

...
...
...

0.03
0.03
0.04

210
240
275

0
0
0

...
...
...

...
...

...

...
...
...

0.03
0.03
0.04

401–450
451–500
501–550

290
340
350

0
0
0

...
110
130

...
450
480


...
1
1

0.04
0.04
0.05

290
340
350

0
0
0

...
110
130

...
450
480

...
1
1

0.04
0.04

0.05

290
340
350

0
0
0

...
110
130

...
450
480

...
1
1

0.04
0.04
0.05

551–600
601–800
801–1000


360
400
430

0
0
0

150
185
200

510
585
630

1
1
1

0.05
0.06
0.07

360
400
430

0
0

0

150
185
200

510
585
630

1
1
1

0.05
0.06
0.07

360
400
430

0
0
0

150
185
200


510
585
630

1
1
1

0.05
0.06
0.07

1001–2000
2001–3000
3001–4000

490
520
530

0
0
0

265
290
310

755
810

840

1
1
1

0.08
0.09
0.09

490
520
530

0
0
0

265
290
570

755
810
1100

1
1
2


0.08
0.09
0.11

490
520
530

0
0
0

265 755
530 1050
570 1100

1
2
2

0.08
0.10
0.11

4001–5000
5001–7000
7001–10 000

540
545

550

0
0
0

305
315
330

845
860
880

1
1
1

0.09
0.10
0.10

540
545
550

0
0
0


580
615
620

1120
1160
1170

2
2
2

0.11
0.11
0.12

540
545
550

0
0
0

830 1370
865 1410
1130 1680

3
3

4

0.12
0.12
0.14

10 001–20 000
20 001–50 000
50 001–100 000

555
560
560

0
0
0

0.10
0.12
0.12

555
560
560

0
0
0


0.13
0.14
0.15

555
900
905

0
1
1

Lot Size

345
900
1
650
1210
2
650
1210
2
Process Average
0.101 to 0.150 %
Trial 2B
n 2 n 1 + n2 c 2
...
...
...

.. . .
...
...

AOQL
in %
0
0.02

925
1480
3
940
1500
3
1210
1770
4
Process Average
0.151 to 0.200 %
Trial 2
n 2 n 1 + n2 c 2
...
...
...
...
...
...

AOQL

in %
0
0.02

1185 1740 4
0.15
1400 2300 6
0.16
1655 2560 7
0.17
Process Average
0.201 to 0.250 %
Trial 2
AOQL
n2 n1 + n2 c2 in %
... ... ...
0
... ... ...
0.02

1–180
181–210

Trial 1A
c1
n1
allD
0
180
0


211–250
251–300
301–400

210
240
275

0
0
0

...
...
...

...
...
...

...
...
...

0.03
0.03
0.04

210

240
275

0
0
0

...
...
...

...
...
...

...
...
...

0.03
0.03
0.04

210
240
275

0
0
0


...
...
...

...
...
...

...
...
...

0.03
0.03
0.04

401–450
451–500
501–550

290
340
350

0
0
0

...

110
130

...
450
480

...
1
1

0.04
0.04
0.05

290
340
350

0
0
0

...
110
130

...
450
480


...
1
1

0.04
0.04
0.05

290
340
350

0
0
0

...
110
130

...
450
480

...
1
1

0.04

0.04
0.05

551–600
601–800
801–1000

360
400
430

0
0
0

150
185
200

510
585
630

1
1
1

0.05
0.06
0.07


360
400
430

0
0
0

150
185
200

510
585
630

1
1
1

0.05
0.06
0.07

360
400
430

0

0
0

150
185
200

510
585
630

1
1
1

0.05
0.06
0.07

1001–2000
2001–3000
3001–4000

490
520
530

0
0
0


500
530
810

990
1050
1340

2
2
3

0.09
0.10
0.11

490
520
530

0
0
0

500
760
1030

990

1280
1560

2
3
4

0.09
0.11
0.12

490
520
840

0
0
1

500 990
980 1500
1160 2000

2
4
6

0.09
0.11
0.13


4001–5000
5001–7000
7001–10 000

540
545
880

0
0
1

1060
1105
1300

1600
1650
2180

4
4
6

0.13
0.13
0.15

845

860
880

1
1
1

1205
1490
1770

2050
2350
2650

6
7
8

0.14
0.15
0.16

845
860
1170

1
1
2


1425 2270
1700 2560
2160 3330

7
8
11

0.14
0.16
0.17

10 001–20 000
20 001–50 000
50 001–100 000

900
1210
1210

1
2
2

1840
2330
2590

2740

3540
3800

8
11
12

0.18
0.20
0.21

1200
1500
1770

2
3
4

2250
2980
3690

3450
4480
5460

11
15
19


0.19
0.22
0.23

1740
2300
2560

4
6
7

2620 4360
4240 6540
5420 7980

15
24
30

0.21
0.24
0.26

AOQLC
in %
0
0.02


Trial
n1
all
180

1
c1
0
0

A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
C
AOQL = Average Outgoing Quality Limit.
D
“all” indicates that each piece in the lot is to be inspected.
B

8

AOQL
in %
0
0.02

Trial
n1
all

180

1
c1
0
0


E1994 − 09 (2013)
TABLE A2.2 Double Sampling Table for
Lot Tolerance Percent Defective (LTPD) = 1.0 %
Lot Size
1–120

Process Average
0 to 0.010 %
Trial 1A
Trial 2B
c1
n 2 n 1 + n2 c 2
n1
allD
0
...
...
...

AOQLC
in %
0


Process Average
0.011 to 0.10 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2 c 2
all
0
... ... ...

AOQL
in %
0

Trial 1
n1
c1
all
0

Process Average
0.11 to 0.20 %
Trial 2
n 2 n 1 + n2 c 2
...
...
...


AOQL
in %
0

121–150
151–200
201–260

120
140
165

0
0
0

...
...
...

...
...
...

...
...
...

0.06
0.08

0.10

120
140
165

0
0
0

...
...
...

...
...
...

...
...
...

0.06
0.08
0.10

120
140
165


0
0
0

...
...
...

...
...
...

...
...
...

0.06
0.08
0.10

261–300
301–400
401–500

180
200
215

0
0

0

75
90
100

255
290
315

1
1
1

0.10
0.12
0.14

180
200
215

0
0
0

75
90
100


255
290
315

1
1
1

0.10
0.12
0.14

180
200
215

0
0
0

75
90
100

255
290
315

1
1

1

0.10
0.12
0.14

501–600
601–800
801–1000

225
235
245

0
0
0

115
125
135

340
360
380

1
1
1


0.15
0.16
0.17

225
235
245

0
0
0

115
125
135

340
360
380

1
1
1

0.15
0.16
0.17

225
235

245

0
0
0

115
125
250

340
360
495

1
1
2

0.15
0.16
0.19

1001–2000
2001–3000
3001–4000

265
270
275


0
0
0

155
160
160

420
430
435

1
1
1

0.18
0.19
0.19

265
270
275

0
0
0

155
300

305

420
570
580

1
2
2

0.18
0.22
0.22

265
270
275

0
0
0

285
420
435

550
690
710


2
3
3

0.21
0.25
0.25

4001–5000
5001–7000
7001–10 000

275
275
280

0
0
0

165
170
320

440
445
600

1
1

2

0.19
0.20
0.24

275
275
280

0
0
0

310
315
460

585
590
740

2
2
3

0.23
0.23
0.26


275
275
280

0
0
0

565
580
590

840
855
870

4
4
4

0.28
0.29
0.30

10 001–20 000
20 001–50 000
50 001–100 000

280
280

280

0
0
0

0.24
0.25
0.25

280
280
280

0
0
0

0.27
0.30
0.30

450
450
450

1
1
1


Lot Size
1–120

325
605
2
325
605
2
325
605
2
Process Average
0.21 to 0.30 %
Trial 1A
Trial 2B
c1 n2 n1 + n 2 c2
n1
allD
0
...
...
...

AOQLC
in %
0

465 745
3

605 885
4
605 885
4
Process Average
0.31 to 0.40 %
Trial 1
Trial 2
n1
c1
n2 n1 + n 2 c2
all
0
... ... ...

AOQL
in %
0

Trial 1
n1
c1
all
0

700
1150
6
830
1280

7
960
1410
8
Process Average
0.41 to 0.50 %
Trial 2
n2 n1 + n 2 c2
...
...
...

0.33
0.36
0.38

AOQL
in %
0

121–150
151–200
201–260

120
140
165

0
0

0

...
...
...

...
...
...

...
...
...

0.06
0.08
0.10

120
140
165

0
0
0

...
...
...


...
...
...

...
...
...

0.06
0.08
0.10

120
140
165

0
0
0

...
...
...

...
...
...

...
...

...

0.06
0.08
0.10

261–300
301–400
401–500

180
200
215

0
0
0

75
90
100

255
290
315

1
1
1


0.10
0.12
0.14

180
200
215

0
0
0

75
90
100

255
290
315

1
1
1

0.10
0.12
0.14

180
200

215

0
0
0

75
90
100

255
290
315

1
1
1

0.10
0.12
0.14

501–600
601–800
801–1000

225
235
245


0
0
0

115
230
250

340
465
495

1
2
2

0.15
0.18
0.19

225
235
245

0
0
0

115
230

250

340
465
495

1
2
2

0.15
0.18
0.19

225
235
245

0
0
0

205
230
250

430
465
495


2
2
2

0.16
0.18
0.19

1001–2000
2001–3000
3001–4000

265
270
435

0
0
1

405
545
645

670
815
1080

3
4

6

0.23
0.26
0.29

265
430
435

0
1
1

515
620
865

780
1050
1300

4
6
8

0.24
0.28
0.30


265
430
580

0
1
2

515
830
940

780
1260
1520

4
8
10

0.24
0.30
0.33

4001–5000
5001–7000
7001–10 000

440
445

450

1
1
1

660
785
920

1100
1230
1370

6
7
8

0.30
0.33
0.35

440
590
600

1
2
2


1000 1440
990 1580
1240 1840

9
10
12

0.33
0.36
0.39

585
730
870

2
3
4

1075
1190
1540

1660
1920
2410

11
13

17

0.35
0.38
0.41

10 001–20 000
20 001–50 000
50 001–100 000

605
605
605

2
2
2

1035
1295
1545

1640
1900
2150

10
12
14


0.39
0.42
0.44

745
885
885

3
4
4

1485 2230
1845 2730
2085 2970

15
19
21

0.43
0.47
0.49

1150
1280
1410

6
7

8

1990
2600
3280

3140
3880
4690

23
29
36

0.44
0.52
0.55

A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
C
AOQL = Average Outgoing Quality Limit.
D
“all” indicates that each piece in the lot is to be inspected.
B

9



E1994 − 09 (2013)
TABLE A2.3 Double Sampling Table for
Lot Tolerance Percent Defective (LTPD) = 2.0 %

1–75
76–100
101–200

Process Average
0 to 0.02 %
Trial 1A
Trial 2B
c1
n 2 n 1 + n2 c 2
n1
allD
0
...
...
...
70
0
...
...
...
85
0
...
...

...

201–300
301–400
401–500

115
120
125

0
0
0

50
60
65

165
180
190

1
1
1

0.29
0.32
0.33


115
120
125

0
0
0

50
60
65

165
180
190

1
1
1

0.29
0.32
0.33

115
120
125

0
0

0

50
60
120

165
180
245

1
1
2

0.29
0.32
0.37

501–600
601–800
801–1000

125
130
135

0
0
0


70
75
75

195
205
210

1
1
1

0.34
0.35
0.36

125
130
135

0
0
0

70
75
140

195
205

275

1
1
2

0.34
0.35
0.42

125
130
135

0
0
0

130
125
140

255
265
275

2
2
2


0.39
0.41
0.42

1001–2000
2001–3000
3001–4000

135
140
140

0
0
0

85
85
85

220
225
225

1
1
1

0.38
0.39

0.40

135
140
140

0
0
0

155
155
225

290
295
365

2
2
3

0.45
0.46
0.52

135
140
140


0
0
0

220
285
290

355
425
430

3
4
4

0.50
0.56
0.57

4001–5000
5001–7000
7001–10 000

140
140
140

0
0

0

160
160
160

300
300
300

2
2
2

0.47
0.48
0.48

140
140
140

0
0
0

230
230
235


370
370
375

3
3
3

0.53
0.54
0.54

140
140
225

0
0
1

360
365
350

500
505
575

5
5

6

0.61
0.62
0.66

10 001–20 000
20 001–50 000
50 001–100 000

140
140
140

0
0
0

2
2
2

0.49
0.49
0.49

140
140
140


0
0
0

0.54
0.59
0.60

225
225
225

1
1
1

7
8
9

0.71
0.75
0.78

...
...
...

AOQLC
in %

0
0.16
0.25

415
640
480
705
545
770
Process Average
0.81 to 1.00 %
Trial 1
Trial 2
n1
c1
n2 n1 + n 2
all
0
...
...
70
0
...
...
85
0
...
...


c2
...
...
...

AOQL
in %
0
0.16
0.25

Lot Size

AOQLC
in %
0
0.16
0.25

Process Average
0.03 to 0.20 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2
all
0
... ... .
70

0
... ... .
85
0
... ... .

c2
..
..
..

c2
...
...
...

AOQL
in %
0
0.16
0.25

1–75
76–100
101–200

165
305
165
305

165
305
Process Average
0.41 to 0.60 %
Trial 1A
Trial 2B
c1 n 2 n1 + n 2 c2
n1
allD
0
...
...
70
0
...
...
85
0
.. .
...

201–300
301–400
401–500

115
120
125

0

0
0

50
115
120

165
235
245

1
2
2

0.29
0.34
0.37

115
120
125

0
0
0

50
115
120


165
235
245

1
2
2

0.29
0.34
0.37

115
120
125

0
0
0

50
115
120

165
235
245

1

2
2

0.29
0.34
0.37

501–600
601–800
801–1000

125
130
135

0
0
0

130
195
200

255
325
335

2
3
3


0.39
0.44
0.46

125
130
135

0
0
0

185
250
255

310
380
390

3
4
4

0.41
0.45
0.48

125

130
210

0
0
1

185
250
290

310
380
500

3
4
6

0.41
0.45
0.54

1001–2000
2001–3000
3001–4000

135
225
225


0
1
1

285
385
455

420
610
680

4
7
8

0.54
0.65
0.69

220
295
295

1
2
2

375

435
555

595
730
850

7
9
11

0.62
0.69
0.74

220
360
365

1
3
3

485
535
715

705 9
895 12
1080 15


0.65
0.72
0.77

4001–5000
5001–7000
7001–10 000

225
300
300

1
2
2

460
450
520

685
750
820

8
9
10

0.70

0.74
0.77

300
370
375

2
3
3

620 920
680 1050
735 1110

12
14
15

0.77
0.82
0.85

435
505
575

4
5
6


775
935
1055

1210 17
1440 21
1630 24

0.81
0.89
0.95

10 001–20 000
20 001–50 000
50 001–100 000

305
305
305

2
2
2

645
715
830

950

1020
1135

12
13
15

0.83
0.86
0.90

375
445
510

3
4
5

935 1310
1045 1490
1150 1660

18
21
24

0.92
0.98
1.0


640
705
770

7
8
9

1240
1635
1850

1880 28
2340 36
2620 41

1.0
1.1
1.2

Lot Size

235 375
3
305 445
4
305 445
4
Process Average

0.61 to 0.80 %
Trial 1
Trial 2
n1
c1
n2 n1 + n 2 c2
all
0
... ... ...
70
0
... ... ...
85
0
... ... ...

AOQL
in %
0
0.16
0.25

Process Average
0.21 to 0.40 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2
all

0
...
...
70
0
...
...
85
0
...
...

A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
AOQL = Average Outgoing Quality Limit.
D
“all” indicates that each piece in the lot is to be inspected.
B

C

10

AOQL
in %
0
0.16
0.25



E1994 − 09 (2013)
TABLE A2.4 Double Sampling Table for
Lot Tolerance Percent Defective (LTPD) = 5.0 %
Lot Size
1–30
31–50

Process Average
0 to 0.05 %
Trial 1A
Trial 2B
c1
n2 n1 + n 2 c2
n1
allD
0
...
...
...
30
0
...
...
...

AOQLC
in %
0

0.49

Process Average
0.06 to 0.50 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2 c 2
all
0
... ... ...
30
0
... ... ...

AOQL
in %
0
0.49

Process Average
0.51 to 1.00 %
Trial 1
Trial 2
AOQL
in %
n1
c1
n 2 n 1 + n2 c 2

all
0
...
... ... 0
30
0
...
. . . . . . 0.49

51–75
76–100
101–200

38
44
49

0
0
0

...
21
26

...
65
75

...

1
1

0.59
0.64
0.84

38
44
49

0
0
0

...
21
26

...
65
75

...
1
1

0.59
0.64
0.84


38
44
49

0
0
0

...
21
26

... ...
65 1
75 1

0.59
0.64
0.84

201–300
301–400
401–500

50
55
55

0

0
0

30
30
30

80
85
85

1
1
1

0.91
0.92
0.93

50
55
55

0
0
0

30
55
55


80
110
110

1
2
2

0.91
1.1
1.1

50
55
55

0
0
0

55
55
80

105
110
135

2

2
3

1.0
1.1
1.2

501–600
601–800
801–1000

55
55
55

0
0
0

30
35
35

85
90
90

1
1
1


0.94
0.95
0.96

55
55
55

0
0
0

60
65
65

115
120
120

2
2
2

1.1
1.1
1.1

55

55
55

0
0
0

85
85
115

140
140
170

3
3
4

1.2
1.3
1.4

1001–2000
2001–3000
3001–4000

55
55
55


0
0
0

35
65
65

90
120
120

1
2
2

0.98
1.2
1.2

55
55
55

0
0
0

95

95
95

150
150
150

3
3
3

1.3
1.3
1.3

55
55
90

0
0
1

120
150
140

175
205
230


4
5
6

1.4
1.5
1.6

4001–5000
5001–7000
7001–10 000

55
55
55

0
0
0

65
65
65

120
120
120

2

2
2

1.2
1.2
1.2

55
55
55

0
0
0

95
95
120

150
150
175

3
3
4

1.4
1.4
1.5


90
90
90

1
1
1

165
165
190

255
255
280

7
7
8

1.6
1.8
1.9

10 001–20 000
20 001–50 000
50 001–100 000

55

55
55

0
0
0

55
55
55

0
0
0

1.5
1.7
1.7

90
90
90

1
1
1

190
280
215

305
240
330
Process Average
2.01 to 2.50 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2
all
0
...
...
30
0
...
...

8
9
10

1.9
2.0
2.1

c2
...
...


AOQL
in %
0
0.49

65
120
65
120
65
120
Process Average
1.01 to 1.50 %
Trial 2B
Trial 1A
c 1 n 2 n 1 + n2 c 2
n1
allD
0
...
...
30
0
...
...

2
2
2


1.2
1.2
1.2

...
...

AOQLC
in %
0
0.49

51–75
76–100
101–200

38
44
49

0
0
0

...
21
51

...

65
100

...
1
2

0.59
0.64
0.91

38
44
49

0
0
0

...
21
51

...
65
100

...
1
2


0.59
0.64
0.91

38
44
49

0
0
0

...
21
51

... ...
65 1
100 2

0.59
0.64
0.91

201–300
301–400
401–500

50

55
55

0
0
0

55
80
105

105
135
160

2
3
4

1.0
1.1
1.3

50
55
85

0
0
1


80
100
120

130
155
205

3
4
6

1.1
1.2
1.4

50
85
85

0
1
1

100
105
140

150

190
225

4
6
7

1.1
1.3
1.4

501–600
601–800
801–1000

55
90
90

0
1
1

110
125
150

165
215
240


4
6
7

1.3
1.5
1.5

85
90
90

1
1
1

145
170
200

230
260
290

7
8
9

1.4

1.5
1.6

85
120
120

1
2
2

165
185
210

250 8
305 10
330 11

1.5
1.6
1.7

1001–2000
2001–3000
3001–4000

90
120
120


1
2
2

185
180
210

275
300
330

8
9
10

1.7
1.9
2.0

120
150
150

2
3
3

225

270
295

345
420
445

11
14
15

1.9
2.1
2.3

175
205
230

4
5
6

260
375
420

435 15
580 21
650 24


2.0
2.3
2.4

4001–5000
5001–7000
7001–10 000

120
120
120

2
2
2

255
260
285

375
380
405

12
12
13

2.1

2.1
2.1

150
150
175

3
3
4

345
370
370

495
520
545

17
18
19

2.3
2.3
2.4

255
255
280


7
7
8

445
495
540

700 26
750 28
820 31

2.5
2.6
2.7

10 001–20 000
20 001–50 000
50 001–100 000

120
120
120

2
2
2

310

335
360

430
455
480

14
15
16

2.2
2.2
2.3

175
205
205

4
5
5

420
485
555

595
690
760


21
25
28

2.4
2.5
2.6

280
305
330

8
9
10

660
745
810

940 36
1050 41
1140 45

2.8
2.9
3.0

Lot Size

1–30
31–50

120 175
4
150 205
5
150 205
5
Process Average
1.51 to 2.00 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2 c 2
all
0
... ... ...
30
0
... ... ...

A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
C
AOQL = Average Outgoing Quality Limit.
D

“all” indicates that each piece in the lot is to be inspected.
B

11

AOQL
in %
0
0.49


E1994 − 09 (2013)
TABLE A2.5 Double Sampling Table for
Lot Tolerance Percent Defective (LTPD) = 10.0 %
Lot Size

Process Average
0 to 0.10 %
Trial 2B
n2 n1 + n 2 c2
...
...
...
...
...
...
13
38
1
15

42
1

Process Average
0.11 to 1.00 %
Trial 2
n 2 n 1 + n2 c 2
... ... ...
... ... ...
13
38
1
15
42
1

Process Average
1.01 to 2.00 %
Trial 1
Trial 2
AOQL
in %
n1
c1
n 2 n 1 + n2 c 2
all
0
...
... ... 0
17

0
...
. . . . . . 1.3
25
0
13
38 1
1.6
27
0
28
55 2
2.1

1–20
21–50
51–100
101–200

Trial 1A
c1
n1
allD
0
17
0
25
0
27
0


201–300
301–400
401–500

27
27
28

0
0
0

16
17
16

43
44
44

1
1
1

1.9
1.9
1.9

27

27
28

0
0
0

30
33
32

57
60
60

2
2
2

2.2
2.2
2.3

27
27
28

0
0
0


43
43
57

70
70
85

3
3
4

2.4
2.5
2.7

501–600
601–800
801–1000

28
28
28

0
0
0

17

17
32

45
45
60

1
1
2

1.9
2.0
2.3

28
28
28

0
0
0

32
47
47

60
75
75


2
3
3

2.3
2.6
2.6

28
28
28

0
0
0

57
57
72

85
85
100

4
4
5

2.8

2.9
3.0

1001–2000
2001–3000
3001–4000

28
28
28

0
0
0

32
32
32

60
60
60

2
2
2

2.4
2.4
2.4


28
28
28

0
0
0

47
47
62

75
75
90

3
3
4

2.7
2.7
2.9

45
45
45

1

1
1

70
85
85

115
130
130

6
7
7

3.3
3.5
3.5

4001–5000
5001–7000
7001–10 000

28
28
28

0
0
0


32
32
32

60
60
60

2
2
2

2.4
2.4
2.5

28
28
28

0
0
0

62
62
62

90

90
90

4
4
4

3.0
3.0
3.0

45
45
45

1
1
1

95
95
95

140
140
140

8
8
8


3.7
3.8
3.8

10 001–20 000
20 001–50 000
50 001–100 000

28
28
28

0
0
0

28
28
28

0
0
0

3.0
3.3
3.8

45

45
45

1
1
1

110
155
120
165
135
180
Process Average
4.01 to 5.00 %
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2
all
0
...
...

9
10
11

3.9

3.9
4.2

c2
...

AOQL
in %
0

AOQLC
in %
0
1.3
1.6
1.8

n1
all
17
25
27

Trial 1
c1
0
0
0
0


32
60
32
60
32
60
Process Average
2.01 to 3.00 %
Trial 1A
Trial 2B
c 1 n 2 n 1 + n2 c 2
n1
allD
0
...
...

2
2
2

2.5
2.5
2.5

...

AOQLC
in %
0


21–50
51–100
101–200

17
25
27

0
0
0

...
24
38

...
49
65

...
2
3

1.3
1.8
2.3

17

25
27

0
0
0

...
24
53

...
49
80

...
2
4

1.3
1.8
2.4

17
25
27

0
0
0


...
24
53

... ...
49 2
80 4

1.3
1.8
2.4

201–300
301–400
401–500

27
44
44

0
1
1

53
66
76

80

110
120

4
6
7

2.7
2.9
3.1

43
44
44

1
1
1

62
86
101

105
130
145

6
8
9


2.8
3.1
3.3

43
60
60

1
2
2

82
90
105

125 8
150 10
165 11

3.0
3.2
3.4

501–600
601–800
801–1000

45

45
45

1
1
1

75
90
90

120
135
135

7
8
8

3.3
3.5
3.5

60
60
60

2
2
2


100
110
125

160
170
185

10
11
12

3.4
3.7
3.9

75
75
90

3
3
4

115
140
150

190 13

215 15
240 17

3.6
3.9
4.1

1001–2000
2001–3000
3001–4000

60
60
60

2
2
2

105
130
130

165
190
190

10
12
12


3.9
4.1
4.2

75
75
90

3
3
4

150
175
170

225
250
260

15
17
18

4.3
4.4
4.6

115

130
130

6
7
7

200
235
255

315 23
365 27
385 29

4.8
5.0
5.1

4001–5000
5001–7000
7001–10 000

60
60
60

2
2
2


140
140
155

200
200
215

13
13
14

4.3
4.4
4.4

90
90
90

4
4
4

180
205
220

270

295
310

19
21
22

4.7
4.9
5.0

140
140
140

8
8
8

270
315
340

410 31
455 35
480 37

5.2
5.3
5.4


10 001–20 000
20 001–50 000
50 001–100 000

60
75
75

2
3
3

165
165
200

225
240
275

15
16
19

4.4
4.5
4.8

100

100
115

5
5
6

230
280
285

330
380
400

24
28
30

5.1
5.2
5.3

155
165
165

9
10
10


370
405
440

525 41
570 45
605 48

5.6
5.7
6.2

Lot Size
1–20

62
90
4
72
100
5
72
100
5
Process Average
3.01 to 4.00 %
Trial 1
Trial 2
n1

c1
n 2 n 1 + n2 c 2
all
0
... ... ...

AOQL
in %
0
1.3
1.6
1.8

A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
AOQL = Average Outgoing Quality Limit.
D
“all” indicates that each piece in the lot is to be inspected.
B

C

12

AOQL
in %
0



E1994 − 09 (2013)
A3. SINGLE SAMPLING TABLES FOR STATED VALUES OF AVERAGE OUTGOING QUALITY LIMIT (AOQL) 0.1 % AOQL,
0.5 % AOQL, 1.0 % AOQL, 2.0 % AO, 5.0 % AOQL, 10.0 % AOQL

A3.1 Tables A3.1-A3.6 illustrate single sampling for stated
values of average outgoing quality limit (AOQL).

TABLE A3.1 Single Sampling Table for
Average Outgoing Quality Limit (AOQL) = 0.1 %
Lot Size
1–75

Process Average
0 to 0.002 %
nA
c
ptB %
C
all
0
...

Process Average
0.003 to 0.020 %
n
c
pt %
all
0

...

Process Average
0.021 to 0.040 %
n
c
pt %
all
0
...

Process Average
0.041 to 0.060 %
n
c
pt %
all
0
...

Process Average
0.061 to 0.080 %
n
c
pt %
all
0
...

Process Average

0.081 to 0.100 %
n
c
pt %
all
0
...

76–95
96–130
131–200

75
95
130

0
0
0

1.5
1.4
1.2

75
95
130

0
0

0

1.5
1.4
1.2

75
95
130

0
0
0

1.5
1.4
1.2

75
95
130

0
0
0

1.5
1.4
1.2


75
95
130

0
0
0

1.5
1.4
1.2

75
95
130

0
0
0

1.5
1.4
1.2

201–300
301–400
401–500

165
190

210

0
0
0

1.1
0.96
0.91

165
190
210

0
0
0

1.1
0.96
0.91

165
190
210

0
0
0


1.1
0.96
0.91

165
190
210

0
0
0

1.1
0.96
0.91

165
190
210

0
0
0

1.1
0.96
0.91

165
190

210

0
0
0

1.1
0.96
0.91

501–600
601–800
801–1000

230
250
270

0
0
0

0.86
0.81
0.76

230
250
270


0
0
0

0.86
0.81
0.76

230
250
270

0
0
0

0.86
0.81
0.76

230
250
270

0
0
0

0.86
0.81

0.76

230
250
270

0
0
0

0.86
0.81
0.76

230
250
270

0
0
0

0.86
0.81
0.76

1001–2000
2001–3000
3001–4000


310
330
340

0
0
0

0.71
0.67
0.64

310
330
340

0
0
0

0.71
0.67
0.64

310
330
340

0
0

0

0.71
0.67
0.64

310
330
695

0
0
1

0.71
0.67
0.59

310
330
695

0
0
1

0.71
0.67
0.59


310
655
695

0
1
1

0.71
0.64
0.59

4001–5000
5001–7000
7001–10 000

345
350
355

0
0
0

0.62
0.61
0.60

345
350

355

0
0
0

0.62
0.61
0.60

345
750
775

0
1
1

0.62
0.51
0.49

720
750
775

1
1
1


0.54
0.51
0.49

720
750
775

1
1
1

0.54
0.51
0.49

720
750
1210

1
1
2

0.54
0.51
0.44

10 001–20 000
20 001–50 000

50 001–100 000

360
365
365

0
0
0

0.59
0.58
0.58

810
830
835

1
1
1

0.48
0.47
0.46

810
1330
1350


1
2
2

0.48
0.41
0.40

1280
1870
2480

2
3
4

0.42 1280
0.37 2420
0.33 3070

2
4
5

0.42
0.34
0.32

1770
2980

4270

3
5
7

0.38
0.33
0.30

A

n = sample size; c = acceptance number.
pt = lot tolerance per cent defective with a Consumer’s Risk (Pc) of 0.10.
C
“all” indicates that each piece in the lot is to be inspected.
B

13


E1994 − 09 (2013)
TABLE A3.2 Single Sampling Table for
Average Outgoing Quality Limit (AOQL) = 0.5 %
Process Average
0 to 0.010 %
nA
c
ptB %
0

...
allC

Process Average
0.011 to 0.10 %
n
c
pt %
all
0
...

Process Average
0.11 to 0.20 %
n
c
pt %
all
0
...

Process Average
0.21 to 0.30 %
n
c
pt %
all
0
...


Process Average
0.31 to 0.40 %
n
c
pt %
all
0
...

Process Average
0.41 to 0.50 %
n
c
pt %
all
0
...

31–50
51–100
101–200

30
42
55

0
0
0


5.0
4.2
3.6

30
42
55

0
0
0

5.0
4.2
3.6

30
42
55

0
0
0

5.0
4.2
3.6

30
42

55

0
0
0

5.0
4.2
3.6

30
42
55

0
0
0

5.0
4.2
3.6

30
42
55

0
0
0


5.0
4.2
3.6

201–300
301–400
401–500

60
60
65

0
0
0

3.4
3.5
3.3

60
60
65

0
0
0

3.4
3.5

3.3

60
60
65

0
0
0

3.4
3.5
3.3

60
60
65

0
0
0

3.4
3.5
3.3

60
60
65


0
0
0

3.4
3.5
3.3

60
60
125

0
0
1

3.4
3.5
2.9

501–600
601–800
801–1000

65
65
70

0
0

0

3.3
3.4
3.2

65
65
70

0
0
0

3.3
3.4
3.2

65
65
70

0
0
0

3.3
3.4
3.2


65
140
145

0
1
1

3.3
2.6
2.6

130
140
145

1
1
1

2.7
2.6
2.6

130
140
145

1
1

1

2.7
2.6
2.6

1001–2000
2001–3000
3001–4000

70
70
70

0
0
0

3.2
3.3
3.3

70
70
160

0
0
1


3.2
3.3
2.4

155
160
160

1
1
1

2.5
2.4
2.4

155
160
255

1
1
2

2.5
2.4
2.1

155
250

255

1
2
2

2.5
2.1
2.1

240
250
355

2
2
3

2.2
2.1
1.9

4001–5000
5001–7000
7001–10 000

75
75
75


0
0
0

3.0
3.0
3.1

165
165
165

1
1
1

2.4
2.4
2.4

165
265
265

1
2
2

2.4
2.0

2.0

260
265
375

2
2
3

2.0
2.0
1.8

360
370
485

3
3
4

1.9
1.8
1.7

460
475
595


4
4
5

1.7
1.7
1.6

10 001–20 000
20 001–50 000
50 001–100 000

75
170
170

0
1
1

3.1
2.3
2.3

165
275
275

1
2

2

2.4
1.9
1.9

270
390
510

2
3
4

1.9
1.7
1.6

380
625
755

3
5
6

1.7
1.5
1.4


615
875
1290

5
7
10

1.5
1.3
1.2

855
1410
2130

7
11
16

1.4
1.2
1.1

Lot Size
1–30

A
B
C


n = sample size; c = acceptance number.
pt = lot tolerance per cent defective with a Consumer’s Risk (Pc) of 0.10.
“all” indicates that each piece in the lot is to be inspected.

TABLE A3.3 Single Sampling Table for
Average Outgoing Quality Limit (AOQL) = 1.0 %
Process Average
0 to 0.02 %
c
ptB %
n
C
0
...
all

Process Average
0.03 to 0.20 %
n
c
pt %
all
0
...

Process Average
0.21 to 0.40 %
n
c

pt %
all
0
...

Process Average
0.41 to 0.60 %
n
c
pt %
all
0
...

Process Average
0.61 to 0.80 %
n
c
pt %
all
0
...

Process Average
0.81 to 1.00 %
n
c
pt %
all
0

...

26–50
51–100
101–200

22
27
32

0
0
0

7.7
7.1
6.4

22
27
32

0
0
0

7.7
7.1
6.4


22
27
32

0
0
0

7.7
7.1
6.4

22
27
32

0
0
0

7.7
7.1
6.4

22
27
32

0
0

0

7.7
7.1
6.4

22
27
32

0
0
0

7.7
7.1
6.4

201–300
301–400
401–500

33
34
35

0
0
0


6.3
6.1
6.1

33
34
35

0
0
0

6.3
6.1
6.1

33
34
35

0
0
0

6.3
6.1
6.1

33
70

70

0
1
1

6.3
4.6
4.7

33
70
70

0
1
1

6.3
4.6
4.7

65
70
70

1
1
1


5.0
4.6
4.7

501–600
601–800
801–1000

35
35
35

0
0
0

6.1
6.2
6.3

35
35
35

0
0
0

6.1
6.2

6.3

75
75
80

1
1
1

4.4
4.4
4.4

75
75
80

1
1
1

4.4
4.4
4.4

75
75
120


1
1
2

4.4
4.4
4.3

75
120
120

1
2
2

4.4
4.2
4.3

1001–2000
2001–3000
3001–4000

36
36
36

0
0

0

6.2
6.2
6.2

80
80
80

1
1
1

4.5
4.6
4.7

80
80
135

1
1
2

4.5
4.6
3.9


130
130
135

2
2
2

4.0
4.0
3.9

130
185
185

2
3
3

4.0
3.6
3.6

180
235
295

3
4

5

3.7
3.3
3.1

4001–5000
5001–7000
7001–10 000

36
37
37

0
0
0

6.2
6.1
6.2

85
85
85

1
1
1


4.6
4.6
4.6

135
135
135

2
2
2

3.9
3.9
3.9

190
190
245

3
3
4

3.5
3.5
3.2

245
305

310

4
5
5

3.2
3.0
3.0

300
420
430

5
7
7

3.1
2.8
2.7

10 001–20 000
20 001–50 000
50 001–100 000

85
85
85


1
1
1

4.6
4.6
4.6

135
135
135

2
2
2

3.9
3.9
3.9

195
255
255

3
4
4

3.4
3.1

3.1

250
380
445

4
6
7

3.2
2.8
2.6

435
575
790

7
9
12

2.7
2.5
2.3

635
990
1520


10
15
22

2.4
2.1
1.9

Lot Size

A

1–25

A
B
C

n = sample size; c = acceptance number.
pt = lot tolerance per cent defective with a Consumer’s Risk (Pc) of 0.10.
“all” indicates that each piece in the lot is to be inspected.

14


E1994 − 09 (2013)
TABLE A3.4 Single Sampling Table for
Average Outgoing Quality Limit (AOQL) = 2.0 %
Process Average
0 to 0.04 %

nA
c
ptB %
0
...
allC

Process Average
0.05 to 0.40 %
n
c
pt %
all
0
...

Process Average
0.41 to 0.80 %
n
c
pt %
all
0
...

Process Average
0.81 to 1.20 %
n
c
pt %

all
0
...

Process Average
1.21 to 1.60 %
n
c
pt %
all
0
...

Process Average
1.61 to 2.00 %
n
c
pt %
all
0
...

16–50
51–100
101–200

14
16
17


0
0
0

13.6
12.4
12.2

14
16
17

0
0
0

13.6
12.4
12.2

14
16
17

0
0
0

13.6
12.4

12.2

14
16
17

0
0
0

13.6
12.4
12.2

14
16
35

0
0
1

13.6
12.4
10.5

14
16
35


0
0
1

13.6
12.4
10.5

201–300
301–400
401–500

17
18
18

0
0
0

12.3
11.8
11.9

17
18
18

0
0

0

12.3
11.8
11.9

17
38
39

0
1
1

12.3
10.0
9.8

37
38
39

1
1
1

10.2
10.0
9.8


37
38
60

1
1
2

10.2
10.0
8.6

37
60
60

1
2
2

10.2
8.5
8.6

501–600
601–800
801–1000

18
18

18

0
0
0

11.9
11.9
12.0

18
40
40

0
1
1

11.9
9.6
9.6

39
40
40

1
1
1


9.8
9.6
9.6

39
65
65

1
2
2

9.8
8.0
8.1

60
65
65

2
2
2

8.6
8.0
8.1

60
85

90

2
3
3

8.6
7.5
7.4

1001–2000
2001–3000
3001–4000

18
18
18

0
0
0

12.0
12.0
12.0

41
41
42


1
1
1

9.4
9.4
9.3

65
65
65

2
2
2

8.2
8.2
8.2

65
95
95

2
3
3

8.2
7.0

7.0

95
120
155

3
4
5

7.0
6.5
6.0

120
180
210

4
6
7

6.5
5.8
5.5

4001–5000
5001–7000
7001–10 000


18
18
42

0
0
1

12.0
12.0
9.3

42
42
70

1
1
2

9.3
9.3
7.5

70
95
95

2
3

3

7.5
7.0
7.0

125
125
155

4
4
5

6.4
6.4
6.0

155
185
220

5
6
7

6.0
5.6
5.4


245
280
350

8
9
11

5.3
5.1
4.8

10 001–20 000
20 001–50 000
50 001–100 000

42
42
42

1
1
1

9.3
9.3
9.3

70
70

95

2
2
3

7.6
7.6
7.0

95
125
160

3
4
5

7.0
6.4
5.9

190
220
290

6
7
9


5.6
5.4
4.9

290
395
505

9
12
15

4.9
4.5
4.2

460
720
955

14
21
27

4.4
3.9
3.7

Lot Size
1–15


A
B
C

n = sample size; c = acceptance number.
pt = lot tolerance per cent defective with a Consumer’s Risk (Pc) of 0.10.
“all” indicates that each piece in the lot is to be inspected.

TABLE A3.5 Single Sampling Table for
Average Outgoing Quality Limit (AOQL) = 5.0 %
Lot Size

Process Average
0 to 0.10 %
c
ptB %
n
C
0
...
all
A

1–5

A
B
C


Process Average
0.11 to1.00 %
n
c
pt %
all
0
...

Process Average
1.01 to 2.00 %
n
c
pt %
all
0
...

Process Average
2.01 to 3.00 %
n
c
pt %
all
0
...

Process Average
3.01 to 4.00 %
n

c
pt %
all
0
...

Process Average
4.01 to 5.00 %
n
c
pt %
all
0
...

6–50
51–100
101–200

6
7
7

0
0
0

30.5
27.0
27.5


6
7
7

0
0
0

30.5
27.0
27.5

6
7
16

0
0
1

30.5
27.0
24.0

6
14
16

0

1
1

30.5
26.5
24.0

6
14
16

0
1
1

30.5
26.5
24.0

6
14
24

0
1
2

30.5
26.5
21.5


201–300
301–400
401–500

7
7
7

0
0
0

27.5
27.5
27.5

16
16
16

1
1
1

24.0
24.0
24.0

16

16
16

1
1
1

24.0
24.0
24.0

16
26
26

1
2
2

24.0
20.0
20.0

25
26
36

2
2
3


21.0
20.0
18.3

25
35
46

2
3
4

21.0
18.8
17.0

501–600
601–800
801–1000

7
7
7

0
0
0

28.0

28.0
28.0

16
16
17

1
1
1

24.0
24.0
22.5

26
27
27

2
2
2

20.0
19.4
19.5

26
37
37


2
3
3

20.0
17.9
17.9

37
48
48

3
4
4

17.9
16.3
16.3

47
60
70

4
5
6

16.6

15.2
14.3

1001–2000
2001–3000
3001–4000

7
7
17

0
0
1

28.0
28.0
23.0

17
17
27

1
1
2

23.0
23.0
19.6


27
38
39

2
3
3

19.6
17.6
17.0

38
50
60

3
4
5

17.6
15.8
15.4

60
75
85

5

6
7

15.3
13.9
13.8

85
125
140

7
10
11

13.7
12.3
11.8

4001–5000
5001–7000
7001–10 000

17
17
17

1
1
1


23.0
23.0
23.0

27
27
27

2
2
2

19.6
19.7
19.7

39
39
50

3
3
4

17.0
17.1
15.9

65

75
75

5
6
6

14.2
13.9
14.0

100
115
130

8
9
10

12.9
12.3
12.0

155
185
225

12
14
17


11.6
11.0
10.4

10 001–20 000
20 001–50 000
50 001–100 000

17
17
17

1
1
1

23.0
23.0
23.0

27
39
39

2
3
3

19.7

17.1
17.1

50
65
75

4
5
6

15.9
14.3
14.0

90
115
145

7
9
11

13.1
12.3
11.6

170
215
275


13
16
20

11.0
10.4
9.8

305
400
450

22
28
31

9.6
9.0
8.8

n = sample size; c = acceptance number.
pt = lot tolerance per cent defective with a Consumer’s Risk (Pc) of 0.10.
“all” indicates that each piece in the lot is to be inspected.

15


E1994 − 09 (2013)
TABLE A3.6 Single Sampling Table for

Average Outgoing Quality Limit (AOQL) = 10.0 %
Lot Size
1–3

A
B
C

Process Average
0 to 0.04 %
nA
c
ptB %
0
...
allC

Process Average
0.05 to 0.40 %
n
c
pt %
all
0
...

Process Average
0.41 to 0.80 %
n
c

pt %
all
0
...

Process Average
0.81 to 1.20 %
n
c
pt %
all
0
...

Process Average
1.21 to 1.60 %
n
c
pt %
all
0
...

Process Average
1.61 to 2.00 %
n
c
pt %
all
0

...

4–50
51–100
101–200

3
4
4

0
0
0

52.5
43.0
43.5

3
4
8

0
0
1

52.5
43.0
40.0


3
8
8

0
1
1

52.5
40.0
40.0

3
8
13

0
1
2

52.5
40.0
35.5

3
8
13

0
1

2

52.5
40.0
35.5

7
12
18

1
2
3

43.5
37.5
33.0

201–300
301–400
401-500

4
4
4

0
0
0


43.5
43.5
43.5

8
8
8

1
1
1

40.5
40.5
40.5

8
13
13

1
2
2

40.5
35.5
36.0

13
13

19

2
2
3

35.5
35.5
31.6

18
24
24

3
4
4

33.0
30.0
30.0

23
29
30

4
5
5


32.0
30.0
29.5

501–600
601–800
801–1000

4
4
4

0
0
0

43.5
43.5
44.0

8
8
8

1
1
1

40.5
40.5

40.5

13
13
14

2
2
2

36.0
36.0
33.5

19
19
25

3
3
4

31.5
31.5
30.0

24
31
37


4
5
6

30.5
29.5
28.0

36
42
49

6
7
8

28.5
27.5
26.5

1001–2000
2001–3000
3001–4000

8
8
8

1
1

1

40.5
40.5
40.5

14
14
14

2
2
2

33.5
33.5
33.5

19
19
25

3
3
4

32.0
32.0
30.0


31
31
38

5
5
6

30.0
30.0
27.5

44
50
65

7
8
10

26.5
26.0
24.0

65
85
100

10
13

15

23.5
22.5
21.5

4001–5000
5001–7000
7001–10 000

8
8
8

1
1
1

40.5
40.5
40.5

14
14
14

2
2
2


33.5
33.5
33.5

25
25
32

4
4
5

30.0
30.0
29.0

44
44
50

6
7
8

27.5
27.0
26.0

65
80

85

10
12
13

24.0
22.5
22.5

120
135
160

18
20
23

20.5
19.8
19.2

10 001–20 000
20 001–50 000
50 001–100 000

8
8
14


1
1
2

40.5
40.5
33.5

19
19
19

3
3
3

32.0
32.0
32.0

32
38
44

5
6
7

29.0
27.5

27.0

60
70
80

9
11
12

24.5
23.0
22.5

110
130
155

16
19
22

21.0
19.7
19.0

190
225
260


27
31
35

18.3
17.5
16.9

n = sample size; c = acceptance number.
pt = lot tolerance per cent defective with a Consumer’s Risk (Pc) of 0.10.
“all” indicates that each piece in the lot is to be inspected.

A4. DOUBLE SAMPLING TABLES FOR STATED VALUES OF AVERAGE OUTGOING QUALITY LIMIT (AOQL)
0.1 % AOQL, 0.5 % AOQL, 1.0 % AOQL, 2.0- % AOQL, 5.0 % AOQL, 10.0 % AOQL

A4.1 Tables A4.1-A4.6 illustrate double sampling for stated
values of average outgoing quality limit (AOQL).

16


E1994 − 09 (2013)
TABLE A4.1 Double Sampling Table for
Average Outgoing Quality Limit (AOQL) = 0.1 %
Process Average
0 to 0.002 %
Trial 1A
Trial 2B
c2
n 2 n 1 + n2 c 2

n1
all
0
...
...
...
75
0
...
...
...

ptC
%
...
1.5

Trial
n1
all
75

96–130
131–200
201–300

95
130
165


0
0
0

...
...
...

...
...
...

...
...
...

1.4
1.2
1.1

95
130
165

0
0
0

...
...

.. .

...
...
...

301–350
351–400
401–500

190
225
250

0
0
0

...
95
120

320
370

...
1
1

0.96

0.86
0.80

190
225
250

0
0
0

...
95
120

501–600
601–800
801–1000

275
310
350

0
0
0

130
155
185


405
465
535

1
1
1

0.77
0.71
0.66

275
310
350

0
0
0

1001–2000
2001–3000
3001–4000

430
465
495

0

0
0

240
265
285

670
730
780

1
1
1

0.58
0.56
0.54

430
465
495

4001–5000
5001–7000
7001–10 000

505
520
540


0
0
0

295
320
335

800
840
875

1
1
1

0.53
0.52
0.51

10 001–20 000
20 001–50 000
50 001–100 000

555
660
670

0

0
0

345
760
770

900
1420
1440

1
2
2

0.50
0.42
0.42

Lot Size
1–75
76–95

Lot Size
1–75
76–95

Trial 1A
n1 c1
all 0

75 0

Process Average
0.041 to 0.060 %
Trial 2B
n 2 n 2 + n2 c 2
...
...
...
...
...
...

pt
%
...
1.5

Process Average
0.021 to 0.040
Trial 1
Trial 2
n1
c1
n 2 n 1 + n2 c 2
all
0
...
... ...
75

0
...
... ...

pt
%
...
1.5

...
...
...

1.4
1.2
1.1

95
130
165

0
0
0

...
...
...

...

...
...

...
...
...

1.4
1.2
1.1

...
320
370

...
1
1

0.96
0.86
0.80

190
225
250

0
0
0


...
95
120

...
320
370

...
1
1

0.96
0.86
0.80

130
155
185

405
465
535

1
1
1

0.77

0.71
0.66

275
310
350

0
0
0

130
155
185

405
465
535

1
1
1

0.77
0.71
0.66

0
0
0


240
265
285

670
730
780

1
1
1

0.58
0.56
0.54

430
465
540

0
0
0

240
265
570

670

730
1110

1
1
2

0.58
0.56
0.49

505
520
625

0
0
0

295
320
715

800
840
1340

1
1
2


0.53
0.52
0.44

555
590
625

0
0
0

615
660
715

1170
1250
1340

2
2
2

0.48
0.46
0.44

650

660
740

0
0
0

750
760
1230

1400
1420
1970

2
2
3

0.43
0.42
0.38

720
770
805

0
0
0


1150
1700
1725

1870
2470
2530

3
4
4

0.38
0.36
0.35

pt

pt

...
1.5

Process Average
0.081 to 0.100 %
Trial 1
Trial 2
n1
c1

n 2 n 1 + n2 c 2
all
0
...
... ...
75
0
...
... ...

...
1.5

Trial
n1
all
75

ptC

1
c1
0
0

1
c1
0
0


Process Average
0.003 to 0.020
Trial 2
n 2 n 1 + n2 c 2
...
...
...
...
...
...

Process Average
0.061 to 0.080 %
Trial 2
n 2 n 1 + n2 c 2
...
...
...
...
...
...

...
1.5

96–130
131–200
201–300

95

130
165

0
0
0

...
...
...

...
...
...

...
...
...

1.4
1.2
1.1

95
130
165

0
0
0


...
...
...

...
. .. .
...

...
...
...

1.4
1.2
1.1

95
130
165

0
0
0

...
...
...

...

...
...

...
...
...

1.4
1.2
1.1

301–350
351–400
401–500

190
225
250

0
0
0

...
95
120

...
320
370


...
1
1

0.96
0.86
0.80

190
225
250

0
0
0

...
95
120

...
320
370

...
1
1

0.96

0.86
0.80

190
225
250

0
0
0

...
95
120

...
320
370

...
1
1

0.96
0.86
0.80

501–600
601–800
801–1000


275
310
350

0
0
0

130
155
185

405
465
535

1
1
1

0.77
0.71
0.66

275
310
350

0

0
0

130
155
185

405
465
535

1
1
1

0.77
0.71
0.66

275
310
350

0
0
0

130
155
185


405
465
535

1
1
1

0.77
0.71
0.66

1001–2000
2001–3000
3001–4000

430
520
540

0
0
0

240
530
570

670

1050
1110

1
2
2

0.58
0.50
0.49

430
520
540

0
0
0

240
530
570

670
1050
1110

1
2
2


0.58
0.50
0.49

475
520
585

0
0
0

450
530
885

925
1050
1470

2
2
3

0.54
0.50
0.45

4001–5000

5001–7000
7001–10 000

555
655
700

0
0
0

615
1045
1120

1170
1700
1820

2
3
3

0.48
0.41
0.39

605
655
700


0
0
0

935
1045
1120

1540
1700
1820

3
3
3

0.44
0.41
0.39

605
680
1250

0
0
1

935

1360
1780

1540
2040
3030

3
4
6

0.44
0.40
0.35

740 0
1400 1
1460 1

1530
2170
3060

2270
3570
4520

4
6
8


0.37
0.32
0.31

1350
1450
2330

1
1
2

2020
3030
4910

3370
4480
7240

6
8
12

0.33
0.31
0.26

1400

2230
3690

1
2
4

2420 3820
4650 6880
7580 11270

7
12
19

0.32
0.27
0.24

10 001–20 000
20 001–50 000
50 001–100 000
A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
C
pt = lost tolerance percent defective with a Consumer’s Risk (Pc) of 0.10.
B


17


E1994 − 09 (2013)
TABLE A4.2 Double Sampling Table for Average Outgoing Quality Limit (AOQL) = 0.5 %
Lot Size
1–30
31–50
51–75

A

Trial 1
c1
n1
allD 0
30 0
40 0

Process Average
0 to 0.010 %
Trial 2B
n 2 n 1 + n2 c 2
...
... ...
...
... ...
...
... ...


C

pt
%
...
5.0
4.6

Trial 1
n1
c1
all 0
30 0
40 0

Process Average
0.011 to 0.10 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...
...
... ...
...
... ...

pt
%
...
5.0

4.6

Trial 1
n1
c1
all 0
30 0
40 0

Process Average
0.11 to 0.20 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...
...
... ...
...
... ...

pt
%
...
5.0
4.6

76–100
101–150
151–200


47
60
70

0
0
0

23
30
35

70
90
105

1
1
1

4.4
3.8
3.3

47
60
70

0
0

0

23
30
35

70
90
105

1
1
1

4.4
3.8
3.3

47
60
70

0
0
0

23
30
35


70
90
105

1
1
1

4.4
3.8
3.3

201–300
301–400
401–500

80
85
90

0
0
0

45
50
55

125
135

145

1
1
1

3.0
2.9
2.8

80
85
90

0
0
0

45
50
55

125
135
145

1
1
1


3.0
2.9
2.8

80
85
90

0
0
0

45
50
55

125
135
145

1
1
1

3.0
2.9
2.8

501–600
601–800

801–1000

95
100
100

0
0
0

55
55
60

150
155
160

1
1
1

2.8
2.7
2.7

95
100
100


0
0
0

55
55
60

150
155
160

1
1
1

2.8
2.7
2.7

95
110
115

0
0
0

55
115

125

150
225
240

1
2
2

2.8
2.4
2.3

1001–2000
2001–3000
3001–4000

105
110
110

0
0
0

60
60
65


165
170
175

1
1
1

2.6
2.6
2.5

125
130
130

0
0
0

135
145
155

260
275
285

2
2

2

2.2
2.1
2.1

125
145
145

0
0
0

135
235
240

260
380
385

2
3
3

2.2
1.9
1.9


4001–5000
5001–7000
7001–10 000

135
135
135

0
0
0

150
155
160

285
290
295

2
2
2

2.1
2.1
2.1

135
135

135

0
0
0

150
155
160

285
290
295

2
2
2

2.1
2.1
2.1

150
155
175

0
0
0


240
245
375

390
400
550

3
3
4

1.9
1.8
1.6

10 001–20 000
20 001–50 000
50 001–100 000

140
140
140

0
0
0

160
165

170

300
305
310

2
2
2

2.0
2.0
2.0

155
155
155

0
0
0

250
255
260

405
410
415


3
3
3

1.8
1.8
1.8

185
185
325

0
0
1

500
505
495

685
690
820

5
5
6

1.5
1.5

1.4

Lot Size
1–30
31–50
51–75

Trial 1A
n1
c1
allD 0
30 0
40 0

Process Average
0.21 to 0.30 %
Trial 2B
n 2 n 1 + n2 c 2
...
... ...
...
... ...
...
... ...

...
5.0
4.6

Trial 1

n1
c1
all 0
30 0
40 0

ptC %

Process Average
0.31 to 0.40 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...
...
... ...
...
... ...

...
5.0
4.6

Trial 1
n1
c1
all 0
30 0
40 0


pt %

Process Average
0.41 to 0.50 %
Trial 2
n 2 n 1 + n2
...
...
...
...
...
...

c2
...
...
...

pt %
...
5.0
4.6

76–100
101–150
151–200

47
60
70


0
0
0

23
30
35

70
90
105

1
1
1

4.4
3.8
3.3

47
60
70

0
0
0

23

30
35

70
90
105

1
1
1

4.4
3.8
3.3

47
60
70

0
0
0

23
30
35

70
90
105


1
1
1

4.4
3.8
3.3

201–300
301–400
401–500

80
85
100

0
0
0

45
50
100

125
135
200

1

1
2

3.0
2.9
2.6

80
95
100

0
0
0

45
90
100

125
185
200

1
2
2

3.0
2.7
2.6


80
95
100

0
0
0

45
90
100

125
185
200

1
2
2

3.0
2.7
2.6

501–600
601–800
801–1000

105

110
115

0
0
0

105
115
125

210
225
240

2
2
2

2.5
2.4
2.3

105
110
125

0
0
0


105
115
185

210
225
310

2
2
3

2.5
2.4
2.2

105
120
125

0
0
0

105
180
185

210

300
310

2
3
3

2.5
2.2
2.2

1001–2000
2001–3000
3001–4000

135
145
155

0
0
0

220
235
325

355
380
480


3
3
4

2.0
1.9
1.8

135
150
280

0
0
1

220
320
415

355
470
695

3
4
6

2.0

1.8
1.6

145
275
295

0
1
1

295
475
600

440
750
895

4
7
8

1.9
1.6
1.5

4001–5000
5001–7000
7001–10 000


165
175
300

0
0
1

345
455
460

510
630
760

4
5
6

1.7
1.6
1.5

300
310
465

1

1
2

525
670
785

825 7
980 8
1250 10

1.5
1.4
1.3

430
460
620

2
2
3

700
860
1120

1130 10
1320 11
1740 14


1.4
1.3
1.2

10 001–20 000
20 001–50 000
50 001–100 000

320
350
505

1
1
2

680
930
1075

1000 8
1280 10
1580 12

1.4
1.3
1.2

495

680
680

2
3
3

1175
1490
1810

1670 13
2170 16
2490 19

1.2
1.1
1.1

740
925
1550

4
5
9

1420
2085
3410


2160 18
3010 24
4960 38

1.2
1.1
0.99

A

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
C
pt = lot tolerance percent defective with a Consumer’s Risk (Pc) of 0.10.
D
“all” indicates that each piece in the lot is to be inspected.
B

18


E1994 − 09 (2013)
TABLE A4.3 Double Sampling Table for Average Outgoing Quality Limit (AOQL) = 1.0 %
Lot Size
1–25

A

Trial 1

c1
n1
allD 0

Process Average
0 to 0.02 %
Trial 2B
n2
n 1 + n2
c2
...
... ...

Process Average
0.03 to 0.20 %
Trial 2
n2
n 1 + n2
c2
...
... ...

pt
%
...

Trial 1
n1
c1
all 0


7.7
6.9
5.8

22
33
43

0
0
0

...
17
22

Trial 1
n1
c1
all 0

7.7
6.9
5.8

22
33
43


0
0
0

...
17
22

22
33
43

0
0
0

...
17
22

201–300
301–400
401–500

47
49
50

0
0

0

28
31
30

75
80
80

1
1
1

5.5
5.4
5.4

47
49
50

0
0
0

28
31
30


75
80
80

1
1
1

5.5
5.4
5.4

47
55
55

0
0
0

501–600
601–800
801–1000

50
50
55

0
0

0

30
35
30

80
85
85

1
1
1

5.4
5.3
5.2

50
60
60

0
0
0

30
70
75


80
130
135

1
2
2

5.4
4.5
4.4

60
60
60

1001–2000
2001–3000
3001–4000

55
65
70

0
0
0

35
80

80

90
145
150

1
2
2

5.1
4.2
4.1

65
65
70

0
0
0

75
80
80

140
145
150


2
2
2

4.3
4.2
4.1

4001–5000
5001–7000
7001–10 000

70
70
70

0
0
0

80
80
80

150
150
150

2
2

2

4.1
4.1
4.1

70
75
80

0
0
0

80
125
125

150
200
205

2
3
3

10 001–20 000
20 001–50 000
50 001–100 000


70
75
75

0
0
0

80
80
80

150
155
155

2
2
2

4.1
4.0
4.0

80
80
85

0
0

0

130
135
180

210
215
265

3
3
4

1–25

A

Trial 1
n1
c1
allD 0

Process Average
0.41 to 0.60 %
Trial 2B
n 2 n 1 + n2 c 2
...
... ...


Process Average
0.61 to 0.80 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...

...

Trial 1
n1
c1
all 0

... ...
50 1
65 1

7.7
6.9
5.8

22
33
43

0
0
0


...
17
22

ptC %

... ...
50 1
65 1

7.7
6.9
5.8

28
60
65

75
115
120

1
2
2

5.5
4.8
4.7


0
0
0

65
70
75

125
130
135

2
2
2

4.6
4.5
4.4

75
75
80

0
0
0

120
125

175

195
200
255

3
3
4

3.8
3.7
3.5

4.1
3.7
3.6

80
80
85

0
0
0

180
180
180


260
260
265

4
4
4

3.4
3.4
3.3

3.6
3.6
3.3

90
95
170

0
0
1

230
300
380

320
395

550

5
6
8

3.2
2.9
2.6

...

... ...
50 1
65 1

7.7
6.9
5.8

22
33
47

0
0
0

...
17

43

0
0
0

...
17
22

201–300
301–400
401–500

55
55
55

0
0
0

50
60
65

105
115
120


2
2
2

4.9
4.8
4.7

55
55
60

0
0
0

50
60
95

105
115
155

2
2
3

4.9
4.8

4.3

55
60
60

0
0
0

501–600
601–800
801–1000

60
65
65

0
0
0

65
105
110

125
170
175


2
3
3

4.6
4.1
4.0

65
65
70

0
0
0

100
105
150

165
170
220

3
3
4

4.2
4.1

3.8

65
70
125

1001–2000
2001–3000
3001–4000

80
80
85

0
0
0

165
170
220

245
250
305

4
4
5


3.7
3.6
3.3

135
150
160

1
1
1

200
265
330

335
415
490

6
7
8

3.3
3.0
2.8

4001–5000
5001–7000

7001–10 000

145
155
165

1
1
1

225
285
355

370
440
520

6
7
8

3.1
2.9
2.7

225
235
250


2
2
2

375
440
585

600 10
675 11
835 13

10 001–20 000
20 001–50 000
50 001–100 000

175
250
275

1
2
2

415
490
700

590 9
740 11

975 14

2.6
2.4
2.2

325
340
420

3
3
4

655
910
1050

980 15
1250 19
1470 22

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
pt = lot tolerance percent defective with a Consumer’s Risk (Pc) of 0.10.
D
“all” indicates that each piece in the lot is to be inspected.
C

19


Process Average
0.81 to 1.00 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...

Trial 1
n1
c1
all 0

pt %

22
33
43

B

pt
%
...

... ...
50 1
65 1

26–50

51–100
101–200

A

Process Average
0.21 to 0.40 %
Trial 2
n2 n1 + n 2
c2
...
... ...

pt
%
...

26–50
51–100
101–200

Lot Size

... ...
50 1
65 1

C

pt %

...

... ...
50 1
90 2

7.7
6.9
5.4

50
80
95

105
140
155

2
3
3

4.9
4.5
4.3

0
0
1


100
140
180

165
210
305

3
4
6

4.2
3.9
3.5

140
215
225

1
2
2

245
355
455

385 7
570 10

680 12

3.2
2.8
2.7

2.7
2.6
2.4

240
310
385

2
3
4

595
665
785

835 14
975 16
1170 19

2.5
2.4
2.3


2.3
2.2
2.1

520
610
770

6
7
9

980
1410
1850

1500 24
2020 32
2620 41

2.2
2.1
2.0


E1994 − 09 (2013)
TABLE A4.4 Double Sampling Table for Average Outgoing Quality Limit (AOQL) = 2.0 %
Lot Size
1–15


A

Trial 1
c1
n1
allD 0

Process Average
0 to 0.04 %
Trial 2B
n 2 n 1 + n2 c 2
...
... ...

Process Average
0.05 to 0.40 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...

pt
%
...

Trial 1
n1
c1
all 0


13.6
11.7
11.0

14
21
24

0
0
0

...
12
13

pt
%
...

Trial 1
n1
c1
all 0

13.6
11.7
11.0

14

21
24

0
0
0

...
12
13

0
0
0

...
12
13

201–300
301–400
401–500

26
26
27

0
0
0


15
16
16

41
42
43

1
1
1

10.4
10.3
10.3

26
26
30

0
0
0

15
16
35

41

42
65

1
1
2

10.4
10.3
9.0

29
30
30

0
0
0

31
35
35

60
65
65

2
2
2


9.1
9.0
9.0

501–600
601–800
801–1000

27
27
27

0
0
0

16
17
17

43
44
44

1
1
1

10.3

10.2
10.2

31
31
32

0
0
0

34
39
38

65
70
70

2
2
2

8.9
8.8
8.7

35
35
36


0
0
0

55
60
59

90
95
95

3
3
3

7.9
7.7
7.6

1001–2000
2001–3000
3001–4000

33
34
34

0

0
0

37
41
41

70
75
75

2
2
2

8.5
8.2
8.2

33
34
38

0
0
0

37
41
62


70
75
100

2
2
3

8.5
8.2
7.3

37
41
41

0
0
0

63
84
89

100
125
130

3

4
4

7.5
7.0
6.9

4001–5000
5001–7000
7001–10 000

34
35
35

0
0
0

41
40
40

75
75
75

2
2
2


8.2
8.1
8.1

38
38
38

0
0
0

62
62
62

100
100
100

3
3
3

7.3
7.3
7.3

42

44
45

0
0
0

88
116
115

130
160
160

4
5
5

6.9
6.4
6.3

10 001–20 000
20 001–50 000
50 001–10 000

35
35
35


0
0
0

40
40
45

75
75
80

2
2
2

8.1
8.1
8.0

39
43
43

0
0
0

66

92
92

105
135
135

3
4
4

7.2
6.6
6.6

45
47
85

0
0
1

115
148
185

160
195
270


5
6
8

6.3
6.0
5.2

1–15

Trial 1
n1
c1
allD 0

Process Average
0.81 to 1.20 %
Trial 2B
n 2 n 1 + n2 c 2
...
... ...
... ...
33 1
55 2

Process Average
1.21 to 1.60 %
Trial 2
n 2 n 1 + n2 c 2

...
... ...

...

Trial 1
n1
c1
all 0

13.6
11.7
9.6

14
21
27

0
0
0

...
12
28

ptC %

...
13.6

11.7
9.6

14
23
27

0
0
0

...
23
28

pt %
...

14
21
27

0
0
0

...
12
28


201–300
301–400
401–500

29
33
34

0
0
0

31
52
56

60
85
90

2
3
3

9.1
8.2
7.9

32
33

36

0
0
0

48
52
74

80
85
110

3
3
4

8.4
8.2
7.5

32
36
60

0
0
1


48
69
90

80
105
150

3
4
6

8.4
7.6
7.0

501–600
601–800
801–1000

35
38
38

0
0
0

55
82

87

90
120
125

3
4
4

7.9
7.3
7.2

37
38
70

0
0
1

78
82
100

115
120
170


4
4
6

7.4
7.3
6.5

65
70
70

1
1
1

95
120
145

160
190
215

6
7
8

6.8
6.4

6.2

1001–2000
2001–3000
3001–4000

43
75
80

0
1
1

112
115
140

155
190
220

5
6
7

6.5
6.1
5.8


80
115
120

1
2
2

160
195
255

240 8
310 10
375 12

5.8
5.3
5.0

110
160
235

2
3
5

205
310

415

315 11
470 15
650 20

5.5
4.7
4.3

4001–5000
5001–7000
7001–10 000

80
85
85

1
1
1

175
205
210

255
290
295


8
9
9

5.5
5.3
5.2

125
125
165

2
2
3

285
320
335

410 13
445 14
500 15

4.9
4.8
4.5

275
280

320

6
6
7

475
575
645

750 23
855 26
965 29

4.2
4.1
4.0

10 001–20 000
20 001–50 000
50 001–100 000

90
130
135

1
2
2


260
300
345

350 11
430 13
480 14

5.1
4.7
4.5

170
205
250

3
4
5

425
515
615

595 18
720 22
865 26

4.4
4.3

4.1

395 9
480 11
580 13

835
1090
1460

1230 37
1570 46
2040 58

3.9
3.7
3.5

Trial 1: n1 = first sample size; c1 = acceptance number for first sample.
Trial 2: n2 = second sample size; c2 = acceptance number for first and second samples combined.
pt = lot tolerance percent defective with a Consumer’s Risk (Pc) of 0.10.
D
“all” indicates that each piece in the lot is to be inspected.
B

C

20

... ...

46 2
55 2

13.6
11.7
11.0

16–50
51–100
101–200

A

... ...
33 1
55 2

Process Average
1.61 to 2.00 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...

Trial 1
n1
c1
all 0

pt %


... ...
33 1
37 1

pt
%
...

14
21
24

A

... ...
33 1
37 1

Process Average
0.41 to 0.80 %
Trial 2
n 2 n 1 + n2 c 2
...
... ...

16–50
51–100
101–200


Lot Size

... ...
33 1
37 1

C

13.6
10.9
9.6