# Selecting a Single-Sampling Plan

Example G.1 raises the question: How can management change the sampling plan to reduce the probability of rejecting good lots and accepting bad lots? To answer this question, let us see how `n` and `c` affect the shape of the OC curve. In the Noise King example, a better single-sampling plan would have a lower producer’s risk and a lower consumer’s risk.

# Sample Size Effect

What would happen if we increased the sample size to 80 and left the acceptance level, `c`, unchanged at 1? We can use Table G.1. If the proportion defective of the lot is $p=\text{AQL}=0.01,$ then $np=0.8$ and the probability of acceptance of the lot is only 0.809. Thus, the producer’s risk is 0.191. Similarly, if $p=\text{LTPD}=0.06,$ the probability of ...

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