Question: At a manufacturing facility historical data has shown that the standard deviation of the weight of the individual output products is Indiv. = 2.4 ounces.
At a manufacturing facility historical data has shown that the standard deviation of the weight of the individual output products is Indiv. = 2.4 ounces. The acceptance sampling policy being considered to distinguish between good (9 oz is the good mean weight) and bad (6 oz is the bad mean weight) batches of products takes samples of size 16, averages the weights in the sample, and then compares the average weight of the sample to the threshold of C = 8 oz (heavier is Accepted, lighter is Rejected). What is the producer's risk probability (the "Type I error")? What is the consumer's risk probability (the "Type II error")? Is this a good acceptance sampling plan (from your, the producer's, point of view) and why or why not?
Producer's risk:
Consumer's risk:
Good or Bad policy for you, why?
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