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please explain and show step by step 1. The heights of eighteen-year-old women are approximately normally distributed with mean 64 inches and standard deviation 2

please explain and show step by step

1. The heights of eighteen-year-old women are approximately normally distributed with mean 64 inches and standard deviation 2 inches. Answer the following questions showing all steps.

c. Calculate the probability that the mean of a sample of 9 eighteen-year-old women is more than 65 inches tall.

d. Compare the answers to (a) and (c) and explain why they are different, using information about the distributions.

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