A single-sampling plan using a sample size of 50 on a lot size of 2,000 has the following performance:
Today the company making the purchase receives two lots of 2,000 items and the inspection department is in a big hurry. Which action will result in an identical AOQL for the purchasing company?
A) Take a random sample of 25 from each lot and accept or reject both lots based on the results.
B) Take a random sample of 50 from one lot and accept or reject the second lot based on the first lot's results.
C) Take a random sample of 100 from one lot and accept or reject the second lot based on the first lot's results.
D) Take a random sample of 50 from each lot and accept or reject each lot based on the results.

Question

A single-sampling plan using a sample size of 50 on a lot size of 2,000 has the following performance: 
Today the company making the purchase receives two lots of 2,000 items and the inspection department is in a big hurry. Which action will result in an identical AOQL for the purchasing company?
A) Take a random sample of 25 from each lot and accept or reject both lots based on the results. 
B) Take a random sample of 50 from one lot and accept or reject the second lot based on the first lot's results. 
C) Take a random sample of 100 from one lot and accept or reject the second lot based on the first lot's results. 
D) Take a random sample of 50 from each lot and accept or reject each lot based on the results.

Quizplus · Accepted Answer

Taking a random sample of 50 from each lot and accepting or rejecting each lot based on the results will result in an identical AOQL as the single-sampling plan using a sample size of 50 on a lot size of 2,000. This is because the sample size and lot size are the same as the original plan, and the decision rule is the same. Option A and C have a different sample size and may result in a different AOQL. Option B only uses one lot as a reference, which may not be representative of both lots. Therefore, option D is the best choice to ensure an identical AOQL.

A Single-Sampling Plan Using a Sample Size of 50 on a Lot