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Assume men's weights are normally distributed...

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Assume men's weights are normally distributed with a mean of 172 lb and an s.d. of 29lb.

If one selected find P his weight is between 163 and 176lb.

Part B is my problem-using the central limit theorem, if 16 men are randomly selected, find the P they have a mean weight between 166lb and 176 lb. The answer is not .5118 but .5055.

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