A survey found that women's heights are normally distributed with mean 63.8 in and standard deviation 2.4 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. Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height. O B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height. OC. Yes, because the percentage of women who meet the height requirement is fairly large. O D. No, because the percentage of women who meet the height requirement is fairly small. b. For the new height requirements, this branch of the military requires women's heights to be at least in and i most in. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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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 63.8 in and standard deviation 2.4 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. Click to view page 2 of the table.
a. The percentage of women who meet the height requirement is %.
(Round to two decimal places as needed.)
Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
O A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.
O B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height.
OC. Yes, because the percentage of women who meet the height requirement is fairly large.
O D. No, because the percentage of women who meet the height requirement is fairly small.
b. For the new height requirements, this branch of the military requires women's heights to be at least
in and
i most
in.
(Round to one decimal place as needed.)
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.8 in and standard deviation 2.4 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. Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height. O B. No, because only a small percentage of women are not allowed to join this branch of the military because of their height. OC. Yes, because the percentage of women who meet the height requirement is fairly large. O D. No, because the percentage of women who meet the height requirement is fairly small. b. For the new height requirements, this branch of the military requires women's heights to be at least in and i most in. (Round to one decimal place as needed.)
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