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Given a normal population whose mean is 590 and whose standard deviation is 53, find each of the following (use Excel to obtain more accuracy):

A. The probability that a random sample of 5 has a mean between 602 and 614.

Probability =

B. The probability that a random sample of 13 has a mean between 602 and 614.

Probability =

C. The probability that a random sample of 21 has a mean between 602 and 614.

Probability =

To solve this problem, we will use the formula for the standard error of the mean: