Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.64 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.53 inches. a) If a man is 6 feet 3 inches tall (75 inches tall), what is his "z-score"? (round to two decimal places) b) If a woman is 5 feet 11 inches tall (71 inches tall), what is her "z-score"? (round to two decimal places) c) Who is relatively taller?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 5
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Comparing observations from different populations: The heights of adult men in America are normally
distributed, with a mean of 69.7 inches and a standard deviation of 2.64 inches. The heights of adult women
in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.53
inches.
a) If a man is 6 feet 3 inches tall (75 inches tall), what is his "z-score"?
(round to two decimal places)
b) If a woman is 5 feet 11 inches tall (71 inches tall), what is her "z-score"?
(round to two decimal places)
c) Who is relatively taller?
The 5 foot 11 inch American woman
The 6 foot 3 inch American man
Transcribed Image Text:Question 5 <> Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.64 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.53 inches. a) If a man is 6 feet 3 inches tall (75 inches tall), what is his "z-score"? (round to two decimal places) b) If a woman is 5 feet 11 inches tall (71 inches tall), what is her "z-score"? (round to two decimal places) c) Who is relatively taller? The 5 foot 11 inch American woman The 6 foot 3 inch American man
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