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Suppose babies born in a large hospital have a mean weight of 4088 grams, and a variance of 55,696. If 128 babies are sampled at

Suppose babies born in a large hospital have a mean weight of 4088 grams, and a variance of 55,696. If 128 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 41 grams? Round your answer to four decimal places.

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