4. (20 points) The mean height of women in the United States (ages 20-29) is 64.2 inches. As-sume o =2.9 inches.%3D (1) A random sample of 50 women in this age group is selected. What is the probability that the mean height for the sample is greater than 66 inches? (2) Assume that the heights of women in the U.S. (ages 20-29) are normally distributed. Are you more likely to randomly select 1 woman with a height less than 67 inches or are you more likely to select a sample of 20 women with a mean height less than 70 inches? Explain.

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