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SHOW ALL WORK FOR THE QUESTIONS ASKED! WHEN IT SAYS CREATE A CHART, DO CREATE A

ID: 357770 • Letter: S

Question

SHOW ALL WORK FOR THE QUESTIONS ASKED! WHEN IT SAYS CREATE A CHART, DO CREATE A CHART! AND WHEN IT SAYS TO EXPLAIN AN ANSWER, EXPLAIN THAT ANSWER! ANSWER ALL THE QUESTIONS ASKED IN GREAT DETAIL!

An acceptance sampling plan has lots of 500 pieces and a sample size of 60. The number of defects in the sample may not exceed 2. This plan, based on an OC curve, has a probability of .57 of accepting lots when the incoming lots have a defective rate of 4%. What do you tell your customer what your average outgoing quality is?

NOTE: THIS IS ALL THE INFO PROVIDED! ANSWER IT, AND DO NOT SAY IT NEEDS TO BE MORE CLEAR BECAUSE IT IS ALREADY AS CLEAR AS IT CAN BE!

Explanation / Answer

Given information :

Lot size = 500

Sample size = 60

Solution :

AOQ = {(Pd)(Pa)(N-n)} / N

Pd = true percent defective of the lot

Pa = probability of accepting the lot

N = number of items in the lot

n = number of items in the sample

=0.04 * 0.57 * (500 - 60 ) / 500

AOQ= 2.006 %

Average outgoing quality is 2.006