The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.51 inches. a) If a man is 6 feet 3 inches tall, what is his z- score (to two decimal places)? Z = b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. % c) If a woman is 5 feet 11 inches tall, what is her z- score (to two decimal places)? Z = d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.51 inches. a) If a man is 6 feet 3 inches tall, what is his z- score (to two decimal places)? Z = b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. % c) If a woman is 5 feet 11 inches tall, what is her z- score (to two decimal places)? Z = 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
Section10.4: Distributions Of Data
Problem 22PFA
Related questions
Question
![The heights of adult men in America are normally
distributed, with a mean of 69.5 inches and a
standard deviation of 2.69 inches. The heights of
adult women in America are also normally
distributed, but with a mean of 64.6 inches and a
standard deviation of 2.51 inches.
a) If a man is 6 feet 3 inches tall, what is his z-
score (to two decimal places)?
Z =
b) What percentage of men are SHORTER than 6
feet 3 inches? Round to nearest tenth of a
percent.
%
c) If a woman is 5 feet 11 inches tall, what is her z-
score (to two decimal places)?
Z =
d) What percentage of women are TALLER than 5
feet 11 inches? Round to nearest tenth of a
percent.
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c2da545-c583-4438-988a-f69ea8bd168f%2F926f915d-4052-4177-8b71-b9dbbf21ab65%2F9un6it_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The heights of adult men in America are normally
distributed, with a mean of 69.5 inches and a
standard deviation of 2.69 inches. The heights of
adult women in America are also normally
distributed, but with a mean of 64.6 inches and a
standard deviation of 2.51 inches.
a) If a man is 6 feet 3 inches tall, what is his z-
score (to two decimal places)?
Z =
b) What percentage of men are SHORTER than 6
feet 3 inches? Round to nearest tenth of a
percent.
%
c) If a woman is 5 feet 11 inches tall, what is her z-
score (to two decimal places)?
Z =
d) What percentage of women are TALLER than 5
feet 11 inches? Round to nearest tenth of a
percent.
%
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