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Suppose a batch of metal shafts produced in a manufacturing company have a variance of 99...

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 99 and a mean diameter of 207207 inches.

If 7272 shafts 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 than 0.30.3 inches? Round your answer to four decimal places.

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