The ability of an acceptance sampling plan to distinguish between

SOLUTION

Explanation:

Acceptance sampling:

Acceptance sampling is the process of evaluating a portion of the product/material in a lot for the purpose of accepting or rejecting the lot as either conforming or not conforming to a quality specification.

Operating Characteristic (OC) curve:

The operating characteristic curve for an attribute sampling plan is a graph of fraction defective in a lot against the probability of acceptance.

For any fraction defective p in a submitted lot, The OC curve shows the probability Pa that such a lot will be accepted by the sampling plan.

In a sampling plan, three parameters are specified,

N = lot size from which the samples are drawn,

n = sample size,

C = acceptance number

It means, takes a random sample of n from a lot of N if the sample contains more than C defective, rejects the lot otherwise accept the lot.

There are two terms on the OC curve:

Producer's risk:

• If the quality is good still from the sampling plan some lots are rejected the producer has to suffer.
• The producer risk is the probability of rejecting a good lot that otherwise would have been accepted.

Consumer's or Purchaser's risk:

• if the quality is bad still from the sampling plan some lots are to be accepted the consumer will suffer.
• Consumer's risk is the probability of defective lots being accepted which otherwise would have been rejected.