Recitation 8

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# Recitation 8 - PowerPoint PPT Presentation

Recitation 8. OC CURVES AOQ. Review of parameters. N:Lot size n1: Sample size on the first sample c1: Acceptance # on the first sample r1: Non-acceptance # on the first sample n2: Sample size on the second sample c2:Acceptance number for both samples

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Presentation Transcript
Recitation 8
• OC CURVES
• AOQ
Review of parameters
• N:Lot size
• n1: Sample size on the first sample
• c1: Acceptance # on the first sample
• r1: Non-acceptance # on the first sample
• n2: Sample size on the second sample
• c2:Acceptance number for both samples
• r2: Non-acceptance number for both samples
100 Pa: Percent of Lots accepted.
• 100Po: Percent non-conforming
• Procedure: One value 100Po assumed and the other calculated.
Difference between two types of curves:TYPE A AND TYPE B
• TYPE B Curves: Lots come from a continouos stream of product, therefore the calculations are based on infinite lot size. (Binomial for evaluating, but approx. To poisson)
• TYPE A: Probability of accepting an isolated lot. (Hypergeometric used to calculate the acceptance probabilities)

OC Curve - Operating Characteristic CurveThe OC curve shows how the probability of acceptance (y-axis) depends on the quality level (bottom axis).

Producer’s Risk
• Producer’s risk :α= Probability of non-acceptance of a conforming lot.
• Refelected on the OC curve as Pa=1- α
• AQL(Acceptable Quality Level): Max. Percent of nonconforming that can be considered satisfactory for the purposes of accepting sampling.
Consumer’s Risk
• β:
• Probability of accepting a non-conforming lot. Usually given as Probability of acceptance.
• Usually given as 0.10.
Average Outgoing Quality: 100*po(Pa)
• Quality that leaves the inspection operation.
• Without rectification: AOQ same as incoming quality
• In rectification: Average outgoing quality is always better than the incoming quality.