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A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 17.8 inches, and standard deviation of 1.4

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A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 17.8 inches, and standard deviation of 1.4 inches. If 41 items are chosen at random, what is the probability that their mean length is greater than 17.7 inches? (Round answer to four decimal places)

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