A survey found that women's heights are normally distributed with mean 63.7 in and standard deviation 2.3 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table.LOADING... Click to view page 2 of the table.LOADING...

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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A survey found that women's heights are normally
distributed with mean 63.7 in and standard deviation
2.3 in. A branch of the military requires women's
heights to be between 58 in and 80 in. a. Find the
percentage of women meeting the height requirement.
Are many women being denied the opportunity to join
this branch of the military because they are too short or
too tall? b. If this branch of the military changes the
height requirements so that all women are eligible
except the shortest 1% and the tallest 2%, what are the
new height requirements? Click to view page 1 of the
table.LOADING... Click to view page 2 of the
table.LOADING...
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.7 in and standard deviation 2.3 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table.LOADING... Click to view page 2 of the table.LOADING...
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