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A manufacturer knows that their items have a lengths that are skewed right, with a mean of 14.6 inches, and standard deviation of 4.1 inches.

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 14.6 inches, and standard deviation of 4.1 inches. If 31 items are chosen at random, what is the probability that their mean length is greater than 13.7 inches? (Round answer to four decimal places)

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