Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 67 inches, and the standard deviation is 2 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 69 inches and a standard deviation of 3 inches. a. What women's height corresponds to a z-score of −1.70? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?

Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 67 inches, and the standard deviation is 2 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 69 inches and a standard deviation of 3 inches. a. What women's height corresponds to a z-score of −1.70? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of

inches, and the standard deviation is

inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of

inches and a standard deviation of

inches.

a. What women's height corresponds to a z-score of

−1.70?

b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?

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