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A manufacturer knows that their items have a lengths that are approximately normally distributed, with mean of 11 inches, and standard deviation of 1.5 inches.

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A manufacturer knows that their items have a lengths that are approximately normally distributed, with mean of 11 inches, and standard deviation of 1.5 inches. If 38 items are chosen at random, what is the probability that their mean length is greater than 11.3 inches? (Round answer to four decimal places)

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