(a) This section contains the Operating Characteristic (OC) curve for each of the sampling plans given in Tables I, I-A, II, II-A, III, and III-A. The OC curve and the corresponding sampling plans are listed by AQL.
(b) Different acceptance and rejection criteria are provided for each AQL. The criteria for each AQL must be obtained from the applicable sampling plan tables.
(c) The curves show the ability of the various sampling plans to distinguish between good and bad lots. This can be illustrated by examining OC curve 6 for an AQL of 0.25 defects per hundred units in the Reduced and Normal Inspection Plans. If the quality of the lots submitted for inspection is poorer than the AQL of 0.25 defects per hundred units, fewer lots will be accepted. For example, OC curve 6 shows that when the quality of lots submitted for inspection is 1.0 defects per hundred units, only 26 percent of the lots are expected to be accepted. Conversely when the quality of the lots submitted for inspection is better than the AQL of 0.25 defects per hundred units, most lots are expected to be accepted. For example, the same OC curve 6 shows that when the quality of lots submitted for inspection is 0.10 defects per hundred units, about 99 percent of the lots are expected to be accepted.
(d) The table of sampling plans that correspond to OC curve 6 can be found over the curves for an AQL of 0.25 defects per hundred units in the Reduced and Normal Inspection Plan. An examination of this table reveals that there is one single and one double sampling plan that have OC curves comparable to OC curve 6. The first plan listed is a single plan requiring the inspection of 500 individual containers. Under this plan the lot is accepted as meeting the requirements for an AQL of 0.25 if there are 3 or less defects in the sample or rejected if there are 4 or more defects in the sample.
(e) The next plan that is listed in the column headed 6 for an AQL of 0.25 is a double sampling plan that requires the initial inspection of 228 individual containers. The lot will be accepted as meeting the requirements of an AQL of 0.25 if there are no defects in the sample, and rejected if there are 3 or more defects in the sample. In the event that the number of defects is between the acceptance (0) and rejection (3) numbers, additional containers must be inspected. In this case, the table indicates that a total of 516 containers must be inspected before a decision can be made to either accept or reject the lot. This will require the inspection of 288 more containers (516 - 228 = 288). If there are 3 or less defects in the total sample, the lot will be accepted. If there are 4 or more defects in the total sample, the lot will be rejected. The other double sampling plans operate in a similar manner with the only differences being the sample sizes and acceptance and rejection numbers.
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=0.15 Defects per Hundred Units
[Sampling plans--AQL=0.15]--------------------------------------------------------------------------------------------------------------------------------------------------------
Identification number of OC curve
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Comparable sampling plans R1 R2 R3 R4 N4 N5 N6 N7 N8
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re--------------------------------------------------------------------------------------------------------------------------------------------------------Single............................ 29 1 2 84 1 2 126 0 1 315 1 2 168 1 2 264 1 2 500 2 3 800 3 4 1,250 4 5--------------------------------------------------------------------------------------------------------------------------------------------------------Double............................ 18 0 2 36 0 2 ... .. .. ... .. .. 120 0 2 174 0 2 252 0 3 456 0 4
36 1 2 96 1 2 ... .. .. ... .. .. 180 1 2 336 1 2 540 2 3 864 3 4--------------------------------------------------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.001
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=0.15 Defects per
Hundred Units
[Sampling plans--AQL=0.15]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single...................... 264 0 1 500 1 2 800 2 3 1,250 3 4----------------------------------------------------------------------------------------------------------------Double...................... ..... ..... ..... 360 0 2 456 0 3 576 0 3
..... ..... ..... 516 1 2 864 2 3 1,296 3 4----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.002
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=0.25 Defects per Hundred Units
[Sampling plans--AQL=0.25]--------------------------------------------------------------------------------------------------------------------------------------------------------
Identification number OC curves
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Comparable sampling plans R1 N2 R3 N and R4 N and R5 N6 N7
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re--------------------------------------------------------------------------------------------------------------------------------------------------------Single....................................................... 29 1 2 84 0 1 84 1 2 168 1 2 315 2 3 500 3 4 800 4 5--------------------------------------------------------------------------------------------------------------------------------------------------------Double....................................................... 18 0 2 .. 36 0 2 120 0 2 168 0 3 228 0 3
18 1 2 .. 96 1 2 180 1 2 348 2 3 516 3 4--------------------------------------------------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.003
Tightened Inspection Plans--Sampling Plans and Operation Characteristics (OC) Curves for AQL=0.25 Defects per
Hundred Units
[Sampling plans--AQL=0.25]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 0 1 315 1 2 500 2 3 800 3 4 1,250 4 5----------------------------------------------------------------------------------------------------------------Double....................................... ... .. .. 168 0 2 228 0 3 456 0 4
... .. .. 348 1 2 516 2 3 864 3 4----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.004
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=0.50
Defects per Hundred Units
[Sampling plans--AQL=0.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 1 2 84 1 2 168 2 3 315 3 4 500 5 6 800 7 8----------------------------------------------------------------------------------------------------------------Double.............................. 18 0 2 36 0 2 120 0 3 168 0 4 228 0 5
36 1 2 96 1 2 180 2 3 348 3 4 516 5 6----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.005
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=0.50 Defects per
Hundred Units
[Sampling plans--AQL=0.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 1 2 315 2 3 500 3 4 800 4 5 1,250 6 7----------------------------------------------------------------------------------------------------------------Double....................................... 120 0 2 168 0 3 228 0 3 456 1 5
180 1 2 348 2 3 516 3 4 864 4 5----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.006
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=1.00
Defects per Hundred Units
[Sampling plans--AQL=1.00]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 1 2 84 2 3 168 4 5 315 6 7 500 9 10 800 13 14----------------------------------------------------------------------------------------------------------------Double.............................. 18 0 2 36 0 3 120 2 5 168 1 5 228 2 7
36 1 2 96 2 3 180 4 5 348 7 8 516 9 10----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.007
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=1.00 Defects per
Hundred Units
[Sampling plans--AQL=1.00]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 2 3 315 3 4 500 5 6 800 7 8 1,250 10 11----------------------------------------------------------------------------------------------------------------Double....................................... 120 0 3 168 0 4 228 0 5 456 2 6
180 2 3 348 3 4 516 5 6 864 8 9----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.008
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=1.50
Defects per Hundred Units
[Sampling plans--AQL=1.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 1 2 84 3 4 168 5 6 315 8 9 500 12 13 800 18 19----------------------------------------------------------------------------------------------------------------Double.............................. 18 0 2 36 0 4 120 2 6 168 2 7 228 3 9
36 1 2 96 3 4 180 5 6 348 9 10 516 12 13----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.009
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=1.50 Defects per
Hundred Units
[Sampling plans--AQL=1.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 4 5 315 6 7 500 9 10 800 13 14 1,250 19 20----------------------------------------------------------------------------------------------------------------Double....................................... 120 2 5 168 1 5 228 2 7 456 5 10
180 4 5 348 7 8 516 9 10 864 14 15----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.010
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=2.50
Defects per Hundred Units
[Sampling plans--AQL=2.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 2 3 84 4 5 168 7 8 315 13 14 500 18 19 800 27 28----------------------------------------------------------------------------------------------------------------Double.............................. 18 0 3 36 0 4 120 3 7 168 5 10 228 5 11
36 2 3 96 4 5 180 8 9 348 14 15 516 19 20----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.011
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=2.50 Defects per
Hundred Units
[Sampling plans--AQL=2.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 5 6 315 8 9 500 12 13 800 18 19 1,250 26 27----------------------------------------------------------------------------------------------------------------Double....................................... 120 2 6 168 2 7 228 3 9 456 8 13
180 5 6 348 9 10 516 12 13 864 19 20----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.012
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=4.00
Defects per Hundred Units
[Sampling plans--AQL=4.00]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 3 4 84 6 7 168 11 12 315 19 20 500 28 29 800 42 43----------------------------------------------------------------------------------------------------------------Double.............................. 18 1 3 36 0 5 120 6 10 168 7 13 228 8 17
36 4 5 96 7 8 180 12 13 348 21 22 516 29 30----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.013
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=4.00 Defects per
Hundred Units
[Sampling plans--AQL=4.00]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 7 8 315 13 14 500 18 19 800 27 28 1,250 41 42----------------------------------------------------------------------------------------------------------------Double....................................... 120 3 7 168 5 10 228 5 11 456 12 19
180 8 9 348 14 15 516 19 20 864 29 30----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.014
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=2.50
Defects per Hundred Units
[Sampling plans--AQL=6.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 4 5 84 9 10 168 16 17 315 28 29 500 42 43 800 64 65----------------------------------------------------------------------------------------------------------------Double.............................. 18 1 4 36 2 7 120 10 14 168 12 18 228 15 24
36 5 6 96 10 11 180 17 18 348 31 32 516 43 44----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.015
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=6.50 Defects per
Hundred Units
[Sampling plans--AQL=6.50]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 11 12 315 19 20 500 28 29 800 42 43 1,250 63 64----------------------------------------------------------------------------------------------------------------Double....................................... 120 6 10 168 7 13 228 8 17 456 21 28
180 12 13 348 21 22 516 29 30 864 44 45----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.016
Reduced and Normal Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=10.00
Defects per Hundred Units
[Sampling plans--AQL=10.00]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans R1 N and R2 N and R3 N and R4 N5 N6
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single.............................. 29 5 6 84 13 14 168 23 24 315 41 42 500 62 63 800 95 96----------------------------------------------------------------------------------------------------------------Double.............................. 18 2 5 36 3 9 120 14 19 168 19 26 228 23 34
36 6 7 96 15 16 180 25 26 348 45 46 516 64 65----------------------------------------------------------------------------------------------------------------nc=Cumulative sample size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.017
Tightened Inspection Plans--Sampling Plans and Operating Characteristic (OC) Curves for AQL=10.00 Defects per
Hundred Units
[Sampling plans--AQL=10.00]----------------------------------------------------------------------------------------------------------------
Identification number of OC curves
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Comparable sampling plans 1 2 3 4 5
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nc Ac Re nc Ac Re nc Ac Re nc Ac Re nc Ac Re----------------------------------------------------------------------------------------------------------------Single....................................... 168 16 17 315 28 29 500 42 43 800 64 65 1,250 96 97----------------------------------------------------------------------------------------------------------------Double....................................... 120 10 14 168 12 18 228 15 24 456 32 41
180 17 18 348 31 32 516 43 44 864 69 70----------------------------------------------------------------------------------------------------------------nc=Cumulative sampling size. Ac=Acceptance number. Re=Rejection number. [GRAPHIC] [TIFF OMITTED] TC02SE91.018 [31 FR 4687, Mar. 19, 1966; 31 FR 4949, Mar. 25, 1966, as amended at 36 FR 18457, Sept. 15, 1971. Redesignated at 41 FR 42640, Sept. 28, 1976 and 42 FR 32514, June 27, 1977, further redesignated at 45 FR 69424, Oct. 21, 1980 and 46 FR 63203, Dec. 31, 1981]