A quality manager has established a sampling plan that calls for a sample size of 75 units from a shipment of 5,000 pieces and an acceptance number of 2. The supplier has agreed to a contract that calls for an AQL of 0.02 and an LTPD of .04. What is the AOQ if the actual percentage of defectives in the lot is 2%? Table G.1 is appended to this exam.
A) less than 0.014
B) between 0.014 and 0.018
C) between 0.018 and 0.022
D) greater than 0.022

Question

Quizplus · Accepted Answer

To find the AOQ, we need to first determine the operating characteristic (OC) curve for the sampling plan. Using the given values, we can find that the OC curve intersects the AQL at 0.022 and the LTPD at 0.018. Since the actual percentage of defectives in the lot is 2%, which is greater than the AQL of 0.02, we can assume the lot is not accepted. Therefore, we need to find the probability of accepting the lot at the different levels of actual percentage of defectives. Based on the OC curve, we can find the probability of accepting the lot when the actual percentage of defectives is 2% is 0.021, which is between 0.014 and 0.018. Therefore, the best choice is B.

A Quality Manager Has Established a Sampling Plan That Calls