Acceptance sampling is used to monitor the quality of incomi

Acceptance sampling is used to monitor the quality of incoming raw materials. Suppose a purchaser of electronic components allows 1 percent of the components to be defective. To ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows NO defect (0 defect).

a. What is the likelihood of accepting a lot that is 1 percent defective?

b. If the quality of the incoming lot was actually 2 percent, what is the likelihood of accepting it?

c. If the quality of the incoming lot was actually 5 percent, what is the likelihood of accepting it? Please keep four decimals.

Solution

a.

To find likelihood of accepting a lot is 1 percent defective, use Minitab software to genertae the output.

Step1. Go to Stat> Quality> Acceptance Sampling by Attributes and enter 1,20,20 corresponding to AQL,RQL and Lot size. The required probability is 0.986.