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Assume that the heights of men are normally distributed with a mean of 70.0 inches and a standard deviation of 2.8 inches. a) If 1

Assume that the heights of men are normally distributed with a mean of 70.0 inches and a standard deviation of 2.8 inches.

a) If 1 man is randomly selected, find the probability that he has a height between 65 and 67 inches.

b) If 64 men are randomly selected, find the probability that they have a MEAN height between 65 and 67 inches.

c) Explain why the answer to part b is so much smaller than the answer to part a.

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