Brakes Shop, Inc., is a franchise that specializes in repairing brake systems of automobiles. The company purchases brake shoes from a national supplier. Currently, lots of 1,000 brake shoes are purchased, and each shoe is inspected before being installed on an automobile. The company has decided instead of 100% inspection to adopt an acceptance sampling plan.
a.Explain what is meant by the acceptance sampling plan.
b.If the company decides to adopt an acceptance sampling plan, what kinds of risks are there?
c.The quality control department of the company has decided to select a sample of 10 shoes and inspect them for defects. Furthermore, it has been decided that if the sample contains no defective parts, the entire lot will be accepted. If there are 50 defective shoes in a shipment, what is the probability that the entire lot will be accepted?
d.What is the probability of accepting the lot if there are 100 defective units in the lot?

Question

Quizplus · Accepted Answer

The Answer of Brakes Shop, Inc., is a franchise that specializes in repairing brake systems of automobiles. The company purchases brake shoes from a national supplier. Currently, lots of 1,000 brake shoes are purchased, and each shoe is inspected before being installed on an automobile. The company has decided instead of 100% inspection to adopt an acceptance sampling plan.
a.Explain what is meant by the acceptance sampling plan.
b.If the company decides to adopt an acceptance sampling plan, what kinds of risks are there?
c.The quality control department of the company has decided to select a sample of 10 shoes and inspect them for defects. Furthermore, it has been decided that if the sample contains no defective parts, the entire lot will be accepted. If there are 50 defective shoes in a shipment, what is the probability that the entire lot will be accepted?
d.What is the probability of accepting the lot if there are 100 defective units in the lot?