A single-sampling plan has the following performance:
What is the average outgoing quality limit if the sample size is 200 and the lot size is 6,000?
A) less than or equal to 0.0200
B) greater than 0.0200 but less than or equal to 0.0220
C) greater than 0.0220 but less than or equal to 0.0230
D) greater than 0.0230

Question

A single-sampling plan has the following performance: 
What is the average outgoing quality limit if the sample size is 200 and the lot size is 6,000?
A) less than or equal to 0.0200 
B) greater than 0.0200 but less than or equal to 0.0220 
C) greater than 0.0220 but less than or equal to 0.0230 
D) greater than 0.0230

Quizplus · Accepted Answer

To find the average outgoing quality limit, we need to use the formula: AOQL = (p1*AOQ1) + (p2*AOQ2) where p1 and p2 are the probabilities of accepting the lot and rejecting the lot respectively. In this case, we only have one sampling plan and one acceptance number, so we can assume p1 = 1 and p2 = 0. The AOQ1 for this plan is 0.02 (given in the table). Plugging in these values, we get AOQL = (1*0.02) + (0*0.1) = 0.02 which is greater than 0.0200 but less than or equal to 0.0220. Therefore, the best choice is B.

A Single-Sampling Plan Has the Following Performance