The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z = 1.98 b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. 97.6 c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 2.56 d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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part d

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard
deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a
mean of 64.5 inches and a standard deviation of 2.54 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
Z=| 1.98
b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.
97.6
c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
Z =2.56
d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
Question Help: Video Message instructor
Transcribed Image Text:The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z=| 1.98 b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. 97.6 c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Z =2.56 d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. Question Help: Video Message instructor
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