A sample of 100 items is randomly selected from a shipment of incoming materials. AQL and LTPD have been established at 0.01 and 0.07, respectively. When four or more defective items are found in a sample, the shipment is rejected. What is the value of β? Table G.1 is appended to this exam.
A) less than or equal to 0.05
B) greater than 0.05 but less than or equal to 0.10
C) greater than 0.10 but less than or equal to 0.15
D) greater than 0.15

Question

Quizplus · Accepted Answer

Using Table G.1 and the given information, we can construct the operating characteristic (OC) curve for the sampling plan. Then, we can find the value of β by calculating the area under the OC curve to the right of the LTPD (0.07) line. This area is approximately 0.06, which is greater than 0.05 but less than or equal to 0.10. Therefore, the answer is B.

A Sample of 100 Items Is Randomly Selected from a Shipment