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Suppose a batch of steel rods produced at a steel plant have a mean length of150 millimeters, and a variance of100. If275 rods are sampled

Suppose a batch of steel rods produced at a steel plant have a mean length of150 millimeters, and a variance of100.

If275 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 greater than0.57 millimeters? Round your answer to four decimal places.

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