Heights of adults According to the National Health Survey, heights of adults may have a
Normal model with mean heights of 69.1" for men and 64.0" for women. The respective
standard deviations are 2.8" and 2.5."
a. Based on this information,
i. how much taller are men than women, on average?
ii. what is the standard deviation for the difference in men's and women's heights?
b. Assume that women date men without considering the height of the man (i.e., that the
heights of the couple are independent). What is the probability that a woman dates a man
shorter than she is?

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The Answer of Heights of adults According to the National Health Survey, heights of adults may have a
Normal model with mean heights of 69.1" for men and 64.0" for women. The respective
standard deviations are 2.8" and 2.5."
a. Based on this information,
i. how much taller are men than women, on average?
ii. what is the standard deviation for the difference in men's and women's heights?
b. Assume that women date men without considering the height of the man (i.e., that the
heights of the couple are independent). What is the probability that a woman dates a man
shorter than she is?

Heights of Adults According to the National Health Survey, Heights