CH_10S_10th_Edition - Acceptance Sampling CHAPTER 10S ACCEPTANCE SAMPLING PROBLEMS P1 A 10-ampere fuse is a weak link in an electrical circuit if the

Acceptance Sampling CHAPTER 10S ACCEPTANCE SAMPLING PROBLEMS P1. A 10-ampere fuse is a weak link in an electrical circuit; if the fuse is defective. It could fail to blow, even though the current exceeded 10 amps, thereby risking damage to equipment and personal injury. An electrical manufacturer uses enormous quantities of 10-ampere fuses in its products, which are purchased in lots of 100,000 from an outside supplier. The contract provides that each lot will be examined by the buyer according to this acceptance sampling plan: a random sample of 20 fuses will be drawn from the lot and tested by being subjected to a current of 10 amperes; if 0 or 1 of them fail to blow, the lot will be accepted; if 2 or more of them fail to blow, the lot will be returned. a. Which probability distribution should be used here? Why? b. Calculate some points on the operating characteristic curve for this sampling plan. c. Draw the OC curve on a piece of graph paper. Use the binomial probabilities supplied in Table D of the appendix in your textbook. d. The acceptable quality level (AQL) is a 5 percent defective fuse. What type of sampling error might be made at the AQL?