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Suppose that the population of lengths of aluminum-coated steel sheets is approximately normally distributed with a mean of 30.5 inches and a standard deviation of

Suppose that the population of lengths of aluminum-coated steel sheets is approximately normally distributed with a mean of 30.5 inches and a standard deviation of 0.2 inches. A sample of four metal sheets is randomly selected from a batch. What is the probability that the sample has a mean length between 30.25 and 30.75 inches long?

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