# Probability regarding a sample mean (central limit theorem)

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Question: Men have hips normally dist. with a mean of 14.4 in. & s.d. of 1.0. Assume 2 male riders randomly selected. Find the probability that their mean hip width is greater than 15.5 in. Please show steps to arrive at the solution

Also: Is the design appropriate assuming that the 2 men have a mean breadth of 16.75 inches?

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This solution finds the probability of an event related to a sample mean by applying the central limit theorem.

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This solution finds the probability of an event related to a sample mean by applying the central limit theorem. Please see the attached Word document for solution details.

Solution:

If a sample of n ...

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