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Suppose a batch of steel rods produced at a steel plant have a mean length of 164 millimeters, and a variance of 121. If287rods are

Suppose a batch of steel rods produced at a steel plant have a mean length of 164 millimeters, and a variance of 121. If287rods 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 than0.56millimeters? Round your answer to four decimal places.

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