The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.68 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 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? Z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)? Z = c) Who is relatively taller? The 6 foot 3 inch American man The 5 foot 11 inch American woman

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The heights of adult men in America are normally
distributed, with a mean of 69.4 inches and a standard
deviation of 2.68 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 2.55 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to 4
decimal places)?
Z =
b) If a woman is 5 feet 11 inches tall, what is her z-score (to
4 decimal places)?
Z =
c) Who is relatively taller?
O The 6 foot 3 inch American man
O The 5 foot 11 inch American woman
Transcribed Image Text:The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.68 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 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? Z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)? Z = c) Who is relatively taller? O The 6 foot 3 inch American man O The 5 foot 11 inch American woman
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