PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control...
Transcript of PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control...
![Page 1: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/1.jpg)
Acceptance SamplingTab IV pages 3 to 29
Sampling ConceptsByJohn A. Conte, P.E.
© 2014 ConteSoutions
![Page 2: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/2.jpg)
The ASQ CQE BoK
IV Product and Process Control– C. Acceptance Sampling
1. Sampling Concepts– Define, describe, and apply the concepts of producer and
consumer risk and related terms, including operating characteristic (OC) curves, acceptable quality limit (AQL), lot tolerance percent defective (LTPD), average outgoing quality (AOQ), average outgoing quality limit (AOQL), etc. (Analyze)
© 2014 ConteSoutions
![Page 3: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/3.jpg)
The ASQ CQE BoK
IV Product and Process Control– C. Acceptance Sampling
2. Sampling standards and plans– Interpret and apply ANSI/ASQ Z1.4 and Z1.9 standards
for attributes and variables sampling. Identify and distinguish between single, double, multiple, sequential, and continuous sampling methods.
– Identify characteristics of Dodge-Romig sampling tables and when they should be used. (Analyze)
© 2014 ConteSoutions
![Page 4: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/4.jpg)
Acceptance Sampling
Inspection of “Lots” of either incoming raw materials or outgoing product
Decision to accept or reject based on sample All sampling plans have two components
– The sample size (n)– The maximum number of defectives allowed in
the sample (c or Ac) for acceptance of the lot
© 2014 ConteSoutions
![Page 5: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/5.jpg)
Producer’s Risk
The risk of making an incorrect decision by rejecting a “good” lot
For sampling plans in Z1.4 that risk is set at about 5% for a given AQL
AQL is the Acceptable Quality Limit formally known as the Acceptable Quality Level
© 2014 ConteSoutions
![Page 6: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/6.jpg)
CQE Handbook, page 198
© 2014 ConteSoutions
![Page 7: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/7.jpg)
Consumer’s Risk
The probability of making an incorrect decision by accepting a “bad” lot
For Dodge-Romig sampling plans that risk is set at about 10% for a given LTPD
LTPD - Lot Tolerance Percent Defective
© 2014 ConteSoutions
![Page 8: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/8.jpg)
CQE Handbook, page 198
© 2014 ConteSoutions
![Page 9: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/9.jpg)
Acceptance Sampling Risks
© 2014 ConteSoutions
![Page 10: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/10.jpg)
Operating Characteristic Curve
First text given to me as a new engineer at Western Electric Company in 1966
“Sampling Inspection Tables” by Harold Dodge and Harry Romig
115 out of 200 pages devoted to OC curves
© 2014 ConteSoutions
![Page 11: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/11.jpg)
© 2014 ConteSoutions
![Page 12: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/12.jpg)
© 2014 ConteSoutions
![Page 13: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/13.jpg)
The Operating Characteristic Curve
Allows a sampling plan to be almost completely evaluated at a glace
Gives a pictorial view of the probabilities of accepting lots submitted a varying levels of percent non-conforming.
The OC Curve illustrate the risks of acceptance sampling
© 2014 ConteSoutions
![Page 14: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/14.jpg)
The Operating Characteristic Curve
Curves are based either the Binomial or Poisson distribution
Poisson approximation to the binomial was often used as the binomial computations were quite complex before the age of electronic calculators
© 2014 ConteSoutions
![Page 15: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/15.jpg)
Probability of Acceptance (Pa)
Formula or statistical tables
Most Poisson tables are cumulative and provide the probability for c or fewer given np (λ)
cx
x
npx
a xenpP
0 !)(
© 2014 ConteSoutions
![Page 16: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/16.jpg)
Percent defective
np or λ P(Acceptance)=P(finding 3 or fewer defectives in the sample)
.02 40(.02)=.80 0.991
.04 40(.04)=1.6 0.921
.06 40(.06)=2.4 0.779
.08 40(.08)=3.2 0.603
.10 40(.10)=4.0 0.433
.12 40(.12)=4.8 0.294
.14 40(.14)=5.6 0.191
OC Curve with Poisson Probabilities(λ=0.8, c ≤ 3)
© 2014 ConteSoutions
![Page 17: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/17.jpg)
Percent defective
np or λ P(Acceptance)=P(finding 3 or fewer defectives in the sample)
.02 40(.02)=.80 0.991
.04 40(.04)=1.6 0.921
.06 40(.06)=2.4 0.779
.08 40(.08)=3.2 0.603
.10 40(.10)=4.0 0.433
.12 40(.12)=4.8 0.294
.14 40(.14)=5.6 0.191
OC Curve with Poisson Probabilities(λ = 1.6, c ≤ 3)
© 2014 ConteSoutions
![Page 18: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/18.jpg)
Percent defective
np or λ P(Acceptance)=P(finding 3 or fewer defectives in the sample)
.02 40(.02)=.80 0.991
.04 40(.04)=1.6 0.921
.06 40(.06)=2.4 0.779
.08 40(.08)=3.2 0.603
.10 40(.10)=4.0 0.433
.12 40(.12)=4.8 0.294
.14 40(.14)=5.6 0.191
OC Curve with Poisson Probabilities(λ=2.4, 3.2, 4.0, 4.8, 5.6, c ≤ 3)
© 2014 ConteSoutions
![Page 19: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/19.jpg)
181614121086420
1.0
0.8
0.6
0.4
0.2
0.0
Lot Percent Defective
Prob
abilit
y of
Acc
epta
nce
Operating Characteristic (OC) CurveSample Size = 40, Acceptance Number = 3
Percent defective np or λ P(Acceptance)=P(finding 3 or fewer defectives in the sample)
.02 40(.02)=.80 0.991
.04 40(.04)=1.6 0.921
.06 40(.06)=2.4 0.779
.08 40(.08)=3.2 0.603
.10 40(.10)=4.0 0.433
.12 40(.12)=4.8 0.294
.14 40(.14)=5.6 0.191
Draw the OC Curve using probabilities
© 2014 ConteSoutions
![Page 20: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/20.jpg)
Acceptable Quality Level (AQL)
From Z1.4 – Acceptance Quality Limit (AQL) “4.2 Definition: The AQL is the quality level
that is the worst tolerable process average average whena continuing series of lots is submitted for acceptance sample.”
“Note: The use of the abbreviation AQL to mean Acceptable Quality level is no longer recommended.”
© 2014 ConteSoutions
![Page 21: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/21.jpg)
Acceptable Quality Level
From Z1.4 - “Although individual lots with quality as bad as the AQL can be accepted with a fairly high probability, the designation of a n AQL does not suggest that this is necessary a desirable quality level. The AQL is a parameter of the sampling scheme …”
The probability of acceptance of a lot with a process average equal to the AQL is normally set at 0.95
© 2014 ConteSoutions
![Page 22: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/22.jpg)
181614121086420
1.0
0.8
0.6
0.4
0.2
0.0
Lot Percent Defective
Prob
abilit
y of
Acc
epta
nce
Operating Characteristic (OC) CurveSample Size = 40, Acceptance Number = 3
Percent defective np or λ P(Acceptance)=P(finding 3 or fewer defectives in the sample)
.02 40(.02)=.80 0.991
.04 40(.04)=1.6 0.921
.06 40(.06)=2.4 0.779
.08 40(.08)=3.2 0.603
.10 40(.10)=4.0 0.433
.12 40(.12)=4.8 0.294
.14 40(.14)=5.6 0.191
Draw the OC Curve using probabilities
© 2014 ConteSoutions
![Page 23: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/23.jpg)
Minitab SoftwareCreate or Compare Sampling Plan
Stat– Quality Tools
Acceptance Sampling by Attributes
Default Screen– Create based on input of AQL, LTPD, and N– Or Compare based on input of n, c, and N – Measurement type percent defective– Acceptable Quality Level (AQL) 0.05– Rejectable Quality Level (RQL or LTPD) 0.10
© 2014 ConteSoutions
![Page 24: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/24.jpg)
Minitab Example - Compare
Acceptance Sampling by Attributes
Measurement type: Go/no go Lot quality in percent defective Lot size: 100000 Use binomial distribution to calculate probability of acceptance
Compare User Defined Plan(s)
Sample Size 40 Acceptance Number 3
Accept lot if defective items in 40 sampled <= 3; Otherwise reject. Average outgoing quality limit (AOQL) = 4.860 at 7.241 percent defective.
Graphs - Acceptance Sampling by Attributes
© 2014 ConteSoutions
![Page 25: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/25.jpg)
1612840
1.0
0.8
0.6
0.4
0.2
0.0
Lot Percent Defective
Prob
abilit
y of
Acc
epta
nce
1612840
4.8
3.6
2.4
1.2
0.0
Incoming Lot Percent Defective
AOQ
(Per
cent
Def
ectiv
e)
1612840
90000
70000
50000
30000
10000
Lot Percent Defective
Aver
age
Tota
l Ins
pect
ion
Operating Characteristic (OC) Curve Average Outgoing Quality (AOQ) Curve
Average Total Inspection (ATI) Curve
Sample Size = 40, Acceptance Number = 3
Minitab Example – CompareInput of n, c, and N
© 2014 ConteSoutions
![Page 26: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/26.jpg)
Mintab Example – Create Plan
Acceptance Sampling by Attributes Measurement type: Go/no go Lot quality in percent defective Lot size: 1000 Use binomial distribution to calculate probability of acceptance Acceptable Quality Level (AQL) 1 Producer's Risk (Alpha) 0.05 Rejectable Quality Level (RQL or LTPD) 5 Consumer's Risk (Beta) 0.1 Generated Plan(s) Sample Size 132 Acceptance Number 3 Accept lot if defective items in 132 sampled <= 3; Otherwise reject. Percent Probability Probability Defective Accepting Rejecting AOQ ATI 1 0.956 0.044 0.830 170.4 5 0.099 0.901 0.431 913.9 Average outgoing quality limit (AOQL) = 1.278 at 2.220 percent defective.
Graphs - Acceptance Sampling by Attributes
© 2014 ConteSoutions
![Page 27: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/27.jpg)
10.07.55.02.50.0
1.0
0.8
0.6
0.4
0.2
0.0
Lot Percent Defective
Prob
abilit
y of
Acc
epta
nce
10.07.55.02.50.0
1.2
0.9
0.6
0.3
0.0
Incoming Lot Percent Defective
AOQ
(Per
cent
Def
ectiv
e)
10.07.55.02.50.0
1000
800
600
400
200
Lot Percent Defective
Aver
age
Tota
l Ins
pect
ion
Operating Characteristic (OC) Curve Average Outgoing Quality (AOQ) Curve
Average Total Inspection (ATI) Curve
Sample Size = 132, Acceptance Number = 3
Minitab Create (AQL=1%, LTPD=5%)
© 2014 ConteSoutions
![Page 28: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/28.jpg)
AOQ and AOQL
Average Outgoing Quality (AOQ) AOQ dependent on the Incoming Quality Average Outgoing Quality Limit AOQL highest value of AOQ
© 2014 ConteSoutions
![Page 29: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/29.jpg)
AOQ - Average Outgoing Quality
The expected average quality of all products, including all accepted lots, plus all rejected lots that have been sorted 10% and have had all defective units replaced
Will always be less than the submitted quality AOQ = Pa * p ( 1 –n/N ) AOQL is the maximum value of AAOQ
© 2014 ConteSoutions
![Page 30: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/30.jpg)
AOQL in Z1.4 – Table XI
© 2014 ConteSoutions
![Page 31: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/31.jpg)
Minitab Software
Stat– Quality Tools
Acceptance Sampling by Attributes
Default Screen– Create Sampling Plan– Measurement type percent defective– Acceptable Quality Level (AQL) 0.05– Rejectable Quality Level (RQL or LTPD) 0.10
© 2014 ConteSoutions
![Page 32: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/32.jpg)
CQE Exam Questions
A single sampling plan calls for a sample size of 80 with an acceptance number of 5 and a rejection number of 6. If the quality of the submitted lots is ten percent defective, then the percent of lots expected to be accepted in the long run is approximately: A. 6% B. 10% C. 30% D. 0% E. 20%
© 2014 ConteSoutions
![Page 33: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/33.jpg)
Which of the following sampling plans gives the greatest protection against accepting lots of poor quality?
1. Sample size = 200, c = 14 2. Sample size = 100, c = 7 3. Sample size = 200, c = 21 4. Sample size = 200, c = 12
© 2014 ConteSoutions
![Page 34: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/34.jpg)
Where to find out more
The Certified Quality Engineer Handbook, Connie M. Borror, editor, ASQ Press, pages 193 to 226
ANSI/ASQ Z1.4
© 2014 ConteSoutions
![Page 35: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/35.jpg)
CQE Exam Question
The two quantities that uniquely determine a attribute sampling plan are:
A. AQL and LTPD B. sample size and rejection number C. AQL and producer's risk D. LTPD and consumer's risk
© 2014 ConteSoutions
![Page 36: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/36.jpg)
CQE Exam Question
The diagram shows operating characteristic (OC) curves for two sampling plans. The dashed curve is:
A. Better. B. Worse. C. Better fro the consumer. D. Better for the producer.
© 2014 ConteSoutions
![Page 37: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/37.jpg)
Z1.4 Sample Size Code LettersLot Size = 1000, GIL=II → J
© 2014 ConteSoutions
![Page 38: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/38.jpg)
Z1.4 Table II-ASample J, AQL 4.0 → n=80, c= 7
© 2014 ConteSoutions
![Page 39: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/39.jpg)
© 2014 ConteSoutions
![Page 40: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/40.jpg)
Minitab Demo
© 2014 ConteSoutions
![Page 41: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/41.jpg)
CQE Exam Problem
The AOQL for the single sampling plan with sample size of 200, an acceptance number of 14 and rejection number of 15 for a lot size of 4000 is approximately:
A. 10.0% B. 4.5% C. 4.0% D. 7.2%
© 2014 ConteSoutions
![Page 42: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/42.jpg)
Z 1.4 Table II-A
© 2014 ConteSoutions
![Page 43: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/43.jpg)
Z 1.4 Table V-A
© 2014 ConteSoutions
![Page 44: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/44.jpg)
Z 1.4 Table V-A Note
4.7% times (1-200/4000)= 4.7 x 0.95 = 4.5%
© 2014 ConteSoutions
![Page 45: PP Acceptance Sampling - Conte · PDF fileThe ASQ CQE BoK IV Product and Process Control – C. Acceptance Sampling 1. Sampling Concepts – Define, describe, and apply the concepts](https://reader033.fdocuments.us/reader033/viewer/2022051405/5a7278b97f8b9ac0538d9b3f/html5/thumbnails/45.jpg)
1612840
1.0
0.8
0.6
0.4
0.2
0.0
Lot Percent Defective
Prob
abilit
y of
Acc
epta
nce
1612840
4
3
2
1
0
Incoming Lot Percent Defective
AOQ
(Per
cent
Def
ectiv
e)
1612840
3500
2500
1500
500
Lot Percent Defective
Aver
age
Tota
l Ins
pect
ion
Operating Characteristic (OC) Curve Average Outgoing Quality (AOQ) Curve
Average Total Inspection (ATI) Curve
Sample Size = 200, Acceptance Number = 14
Minitab output
© 2014 ConteSoutions