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Suppose a batch of steel rods produced at a steel plant have a mean length of...

Suppose a batch of steel rods produced at a steel plant have a mean length of 187 millimeters, and a variance of 64 . If 416 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.65 millimeters? Round your answer to four decimal places.

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