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aAQLLTPDSupplementJ-
AcceptanceSampling
PlansSequentialSamplingChartSequentialSamplingChart8–7–6–5–4–3–2–1–0–Cumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1SequentialSamplingChart8–7–6–5–4–3–2–1–0–ContinuesamplingCumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1SequentialSamplingChart8–7–6–5–4–3–2–1–0–RejectContinuesamplingAcceptCumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1SequentialSamplingChart8–7–6–5–4–3–2–1–0–RejectDecisiontorejectContinuesamplingAcceptCumulativesamplesize | | | | | | | 10 20 30 40 50 60 70NumberofdefectivesFigureJ.1OperatingCharacteristicCurveOperatingCharacteristicCurveProbabilityofacceptanceProportiondefectiveFigureJ.2OperatingCharacteristicCurveIdealOCcurveProbabilityofacceptanceProportiondefectiveFigureJ.2OperatingCharacteristicCurveIdealOCcurveTypicalOCcurveProbabilityofacceptanceProportiondefectiveFigureJ.2OperatingCharacteristicCurvea1.0IdealOCcurveTypicalOCcurveAQLLTPDProbabilityofacceptanceProportiondefectiveFigureJ.2OperatingCharacteristicCurveOperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorlessdefective defects (p) np (Pa) Comments
n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments
n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorless Defective defects (p) np (Pa) Comments0.01(AQL) 0.6 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance
np 0 1 2 .05 .951 .999 1.000 .10 .905 .995 1.000 .15 .861 .990 .999 .20 .819 .982 .999 .25 .779 .974 .998 .30 .741 .963 .996 .35 .705 .951 .994 .40 .670 .938 .992 .45 .638 .925 .989 .50 .607 .910 .986 .55 .577 .894 .982 .60 .549 .878 .977 .65 .522 .861 .972ExampleJ.1OperatingCharacteristicCurve Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 n=60c=11.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–0.663 | | | | | | | | | | 1 2 3 4 5 6 7 8 9 100.3080.1990.048(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Probability Proportion ofcorless defective defects (p) np (Pa) Comments0.01(AQL) 0.6 0.878 a=1.000–0.878=0.1220.02 1.2 0.6630.03 1.8 0.4630.04 2.4 0.3080.05 3.0 0.1990.06(LTPD) 3.6 0.126 b=0.1260.07 4.2 0.0780.08 4.8 0.0480.09 5.4 0.0290.10 6.0 0.017n=60c=1ExampleJ.1OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 100.8780.6630.4630.3080.1990.1260.0780.0480.0290.017(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceExampleJ.1OperatingCharacteristicCurveFigureJ.31.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0– | | | | | | | | | | 1 2 3 4 5 6 7 8 9 100.8780.6630.4630.3080.1990.1260.0780.0480.0290.017a=0.122(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptanceb=0.126OperatingCharacteristicCurveOperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceFigureJ.4OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD)
FigureJ.4OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126FigureJ.4OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126 80 0.191 0.048FigureJ.4OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126 80 0.191 0.048 100 0.264 0.017FigureJ.4OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceFigureJ.4 Producer’s Consumer’s Risk Risk
n (p=AQL) (p=LTPD) 60 0.122 0.126 80 0.191 0.048 100 0.264 0.017 120 0.332 0.006OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptancen=60,c=1n=80,c=1n=100,c=1n=120,c=1FigureJ.4OperatingCharacteristicCurveOperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)ProbabilityofacceptanceFigureJ.5OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD)FigureJ.5OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0–| | || || | || |1 2 34 56 7 89 10(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126
FigureJ.5OperatingCharacteristicCurve1.0–0.9–0.8–0.7–0.6–0.5–0.4–0.3–0.2–0.1–0.0––||||||||||12345678910(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126 2 0.023 0.303
FigureJ.5OperatingCharacteristicCurve1.0––0.9––0.8––0.7––0.6––0.5––0.4––0.3––0.2––0.1––0.0––||||||||||12345678910(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126 2 0.023 0.303 3 0.003 0.515FigureJ.5OperatingCharacteristicCurve1.0––0.9––0.8––0.7––0.6––0.5––0.4––0.3––0.2––0.1––0.0––||||||||||12345678910(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptance Producer’s Consumer’s Risk Risk
c (p=AQL) (p=LTPD) 1 0.122 0.126 2 0.023 0.303 3 0.003 0.515 4 0.000 0.726FigureJ.5OperatingCharacteristicCurve1.0––0.9––0.8––0.7––0.6––0.5––0.4––0.3––0.2––0.1––0.0––||||||||||12345678910(AQL)(LTPD)Proportiondefective(hundredths)Probabilityofacceptancen=60,c=1n=60,c=2n=60,c=3n=60,c=4FigureJ.5AcceptanceSamplingPlanAcceptanceSamplingPlan AQLBased LTPDBased 0 0.0509 5 2.2996 38 1 0.3552 36 3.8875 65 2 0.8112 81 5.3217 89 3 1.3675 137 6.6697 111 4 1.9680 197 7.9894 133 5 2.6256 263 9.2647 154 6 3.2838 328 10.5139 175 7 3.9794 398 11.7726 196 8 4.6936 469 12.9903 217 9 5.4237 542 14.2042 237 10 6.1635 616 15.4036 257 Acceptance Expected Sample Expected Sample Number Defectives Size Defectives SizeOperatingCharacteristicCurveOperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent)ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa)
ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: 0.01(0.974)(1000–110)/1000=0.0087ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: 0.01(0.974)(1000–110)/1000=0.0087ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024Forp=0.01: 0.01(0.974)(1000–110)/1000=0.0087Forp=0.02: 0.02(0.819)(1000–110)/1000=0.0146Forp=0.03: 0.03(0.581)(1000–110)/1000=0.0155Forp=0.04: 0.04(0.359)(1000–110)/1000=0.0128Forp=0.05: 0.05(0.202)(1000–110)/1000=0.0090Forp=0.06: 0.06(0.105)(1000–110)/1000=0.0056Forp=0.07: 0.07(0.052)(1000–110)/1000=0.0032Forp=0.08: 0.08(0.024)(1000–110)/1000=0.0017ExampleJ.2OperatingCharacteristicCurve1.6–1.2–0.8–0.4–0– | | | | | | | | 1 2 3 4 5 6 7 8Defectivesinlot(percent)Averageoutgoingquality(percent) Proportion Probability Defective ofAcceptance (p) np (Pa) 0.01 1.10 0.974 0.02 2.20 0.819 0.03 3.30 0.581 =(0.603+0.558)/2 0.04 4.40 0.359 0.05 5.50 0.202 =(0.213+0.191)/2 0.06 6.60 0.105 0.07 7.70 0.052 =(0.055+0.048)/2 0.08 8.80 0.024ExampleJ.2OperatingCharacteristicCurve1.6––1.2––0.8––0.4––0–| ||| ||| |1 234 567 8Defectivesinlot(percent)Averageoutgoingquality(percent)ExampleJ.2OperatingCharacteristicCurveAOQL1.6––1.2––0.8––0.4––0–| ||| ||| |1 234 567 8Defectivesinlot(percent)Averageoutgoingquality(percent)FigureJ.6SolvedProblem1.0—0.9—0.8—0.7—0.6—0.5—0.4—0.3—0.2—0.1—0— | | | | | | | | | | 1 2 3 4 5 6 7 8 9 10Proportiondefective(hundredths)(p)Probabilityofacceptance(Pa)(AQL) (LTPD)1.0000.9960.9510.8100.5870.3630.1940.0920.0390.015=0.092=0.0499、静夜四无邻邻,荒居旧业业贫。。1月-231月-23Thursday,January5,202310、雨雨中中黄黄叶叶树树,,灯灯下下白白头头人人。。。。20:46:4120:46:4120:461/5/20238:46:41PM11、以我独沈沈久,愧君君相见频。。。1月-2320:46:4120:46Jan-2305-Jan-2312、故故人人江江海海别别,,几几度度隔隔山山川川。。。。20:46:4120:46:4120:46Thursday,January5,202313、乍见翻疑疑梦,相悲悲各问年。。。1月-231月-2320:46:4120:46:41January5,202314、他乡生白白发,旧国国见青山。。。05一月月20238:46:41下下午20:46:411月-2315、比不了了得就不不比,得得不到的的就不要要。。。一月238:46下午午1月-2320:46January5,202316、行动动出成成果,,工作作出财财富。。。2023/1/520:46:4120:46:4105January202317、做前,能能够环视四四周;做时时,你只能能或者最好好沿着以脚脚为起点的的射线向前前。。8:46:41下下午8:46下下午20:46:411
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