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Suppose a batch of metal shafts produced in a manufacturing company have a variance of2.89and a mean diameter of211inches. If86shafts are sampled at random from

Suppose a batch of metal shafts produced in a manufacturing company have a variance of2.89and a mean diameter of211inches.

If86shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than0.2 inches? Round your answer to four decimal places.

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