A company is developing an acceptance sampling plan to monitor quality. The acceptable quality level (AQL) is 0.01, and a sampling plan having c = 5 is being considered. If a producer's risk of 0.03 is desired, what should be the sample size? Table G.1 is appended to this exam.
A) less than or equal to 25
B) more than 25 but less than or equal to 175
C) more than 175 but less than or equal to 325
D) more than 325

Question

Quizplus · Accepted Answer

Using Table G.1 with AQL 0.01 and c = 5, we see that LTPD = 0.11, which corresponds to a producer's risk of 0.14. To achieve a producer's risk of 0.03, we need to reduce the sample size to have a lower LTPD. We can try different sample sizes and interpolate in Table G.1 to find the corresponding LTPD. A sample size of 200 gives an LTPD of 0.062, and a sample size of 300 gives an LTPD of 0.038. Since we want to minimize the sample size, we choose the smallest sample size that gives an LTPD below 0.11, which is 200. Therefore, the sample size should be more than 175 but less than or equal to 325. The answer is C.

A Company Is Developing an Acceptance Sampling Plan to Monitor