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A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.1 inches and standard deviation

A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.1 inches and standard deviation of 1.2 inches. If a sample of 47 items are chosen at random, what is the probability the sample's mean length is greater than 13 inches? Round answer to four decimal places.

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