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A manufacturer receives large batches of components daily and decides to institute and acceptance sampling scheme. Three possible plans are considered, each of which requires

A manufacturer receives large batches of components daily and decides to institute and acceptance sampling scheme. Three possible plans are considered, each of which requires a sample of 30 components to be tested:

Plan A: Accept the batch if no non-conformity components are found, otherwise reject.

Plan B: Accept the batch if not more than one non-conforming component is found, otherwise reject.

Plan C: Accept the batch if two or fewer no-conforming components are found, otherwise reject.

Determine which plans would result in a balance between the risk of accepting batches containing 8% defective and the risk of rejecting batches containing 2% non-conforming.

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