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Acceptance sampling is an important quality control technique, where a batch of

ID: 3134713 • Letter: A

Question

Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage. Suppose that 10% of produced items are known to be nonconforming. Every week a batch of items is evaluated and the production machines are adjusted if the proportion of nonconforming items exceeds 15%. Use Table 1 . a. What is the probability that the production machines will be adjusted if the batch consists of 50 items? (Round intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

Explanation / Answer

a. What is the probability that the production machines will be adjusted if the batch consists of 50 items?

P( z > 0.15 - 0.10   / srtq(0.10*0.90 / 50)

P( z > 1.18) = 0.1190