1. What is the probability of rejecting a batch of products that truly has 1.5% defective parts if the sampling plan calls for sampling 200 items and rejecting the batch if 3 or more defective parts are found? (Note: this problem can be solved manually or with Minitab).
2. A sampling plan for testing sterility of a batch of 50,000 ampules is as follows: Test 20 ampules selected at random. If there are no defective (non-sterile) ampules, pass the batch. If there are one or more defectives, reject the batch.

If 0.5% of all ampules in the batch are not sterile, what is the probability that the batch will be rejected? What can you say about the effectiveness of such a sampling plan in detecting batches with some non-sterile ampoules?

1. Develop a sampling plan for a batch of 100,000 bottles of oral solution tested for visual defects. Acceptable quality level (AQL) is 1.5%, rejectable quality level (RQL or LTDP) is 3%. Calculate the sample size, the accept/reject rule, and draw the OC curve. What can we do if we would like to reduce the number of bottles tested for each batch? Explain.