Heights of American women aged 18 to 24 have a mean of 65.5 inches and standard deviation 2.5 inches


Question: Heights of American women aged 18 to 24 have a mean of 65.5 inches and standard deviation 2.5 inches.

(a) What information is needed to determine if the sampling distribution of \(\bar{X}\) is approximately normally distributed.

(b) Describe the sampling distribution of \(\bar{X}\) for a sample size of 64.

(c) How would the sampling distribution of 7 change if the sample size was changed to 28?

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