The average height of a woman aged 20-74 years is 64 inches in 2002, with an inc

Question

The average height of a woman aged 20-74 years is 64 inches in 2002, with an increase of approximately one inch from 1960 Suppose the height of a woman is normally distributed with a standard deviation of 2 inches. What is the probability that a randomly selected woman in this population is between 58 inches and 70 inches? What are the quartiles of this distribution? Determine the height that is symmetric about the mean that includes 90% of this population. What is the probability that five women selected at random from this population all exceed 68 inches?

Explanation / Answer

The average height of a woman aged 20 - 74 years is 64 inches in 2002, with an increase of approximately one inch from 1960. Suppose the height of a woman is normally distributed with a standard deviation of 2 inches. A) what is the probability that a randomly selected woman in this population is between 58 and 70 inches? Z = 58-64/2 = -3 P(Z < -3) = .0013 Z = 70-64/2 = 3 P(Z < 3) = .9987 P(58

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