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Acceptance sampling is an important quality control technique, where a batch of data is tested to...

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 8% 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 10%. [You may find it useful to reference the z table.]

a. What is the probability that the production machines will be adjusted if the batch consists of 74 items? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

b. What is the probability that the production machines will be adjusted if the batch consists of 89 items? (

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