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3. The heights of women are normally distributed with mean 63.7 in. and standard deviation 2.9 in. The US Navy requires that fighter pilots have heights between 62 in and 78 in. (a) Find each percentage of women not meeting with the minimum and maximum height. (b) Find the percentage of women meeting the height requirement. (c) Are many women being denied the opportunity to join because of their height? (dj What is the maximum height of the shortest 3%? (e) What is the minimum height of the tallest 2%? (f) If the Navy changes the height requirement so that all women are eligible except the shortest 3% and the tallest 2%, what are the new height requirements? (g) Would it be possible for a woman of 57 in to join the Navy with the new requirement? Give explanation.

3. The heights of women are normally distributed with mean 63.7 in. and standard deviation 2.9 in. The US Navy requires that fighter pilots have heights between 62 in and 78 in. (a) Find each percentage of women not meeting with the minimum and maximum height. (b) Find the percentage of women meeting the height requirement. (c) Are many women being denied the opportunity to join because of their height? (dj What is the maximum height of the shortest 3%? (e) What is the minimum height of the tallest 2%? (f) If the Navy changes the height requirement so that all women are eligible except the shortest 3% and the tallest 2%, what are the new height requirements? (g) Would it be possible for a woman of 57 in to join the Navy with the new requirement? Give explanation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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3. The heights of women are normally distributed with mean 63.7 in. and standard deviation 2.9 in. The US Navy requires that fighter pilots have heights between 62 in and 78 in. (a) Find each percentage of women not meeting with the minimum and maximum height. (b) Find the percentage of women meeting the height requirement. (c) Are many women being denied the opportunity to join because of their height? (d) What is the maximum height of the shortest 3%? (e) What is the minimum height of the tallest 2%? (n) If the Navy changes the height requirement so that all women are eligible except the shortest 3% and the tallest 2%, what are the new height requirements? (g) Would it be possible for a woman of 57 in to join the Navy with the new requirement? Give explanation.
Transcribed Image Text:3. The heights of women are normally distributed with mean 63.7 in. and standard deviation 2.9 in. The US Navy requires that fighter pilots have heights between 62 in and 78 in. (a) Find each percentage of women not meeting with the minimum and maximum height. (b) Find the percentage of women meeting the height requirement. (c) Are many women being denied the opportunity to join because of their height? (d) What is the maximum height of the shortest 3%? (e) What is the minimum height of the tallest 2%? (n) If the Navy changes the height requirement so that all women are eligible except the shortest 3% and the tallest 2%, what are the new height requirements? (g) Would it be possible for a woman of 57 in to join the Navy with the new requirement? Give explanation.
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