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Rolling a fair eight sided die produces a uniformly distributed set of numbers between one and eight with a mean of 4.5 and a standard

Rolling a fair eight sided die produces a uniformly distributed set of numbers between one and eight with a mean of 4.5 and a standard deviation of 2.291. Assume that an eight sided dice are rolled many times in the mean of the n outcomes is computed each time. Find the mean and standard deviation of the resulting distribution of the sample means for n =144

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