Solution) Using the Central Limit Theorem. In exercise 13, assume that women’s heights are normally distribute


Question: Using the Central Limit Theorem. In exercise 13, assume that women’s heights are normally distributed with a mean given by µ = 63.6 in. and a standard deviation given by σ = 2.5 in. (based on data from the National Health examination Survey).

Hint: To calculate z

a. If 1 woman is randomly selected, find the probability that her height is between 60 in. and 65 in.

b. If 16 women are randomly selected, find the probability that they have a mean height between 60 in. and 65 in.

c. Why can the central limit theorem be used in part (b), even though the sample size does not exceed 30?

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