The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 5 inches tall, what is his z-score? b) What percentage of men are SHORTER than 6 feet 5 inches? c) If a woman is 5 feet 8 inches tall, what is her z-score? Z =

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 69.3
inches and a standard deviation of 2.67 inches. The heights of adult women in
America are also normally distributed, but with a mean of 64.8 inches and a standard
deviation of 2.54 inches.
a) If a man is 6 feet 5 inches tall, what is his z-score?
b) What percentage of men are SHORTER than 6 feet 5 inches?
c) If a woman is 5 feet 8 inches tall, what is her z-score?
d) What percentage of women are TALLER than 5 feet 8 inches?
Transcribed Image Text:The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 5 inches tall, what is his z-score? b) What percentage of men are SHORTER than 6 feet 5 inches? c) If a woman is 5 feet 8 inches tall, what is her z-score? d) What percentage of women are TALLER than 5 feet 8 inches?
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