s heights are omen meetir Lary changes

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Topic Video
Question
6.2.21
E Question Help
ne
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?
ats
k
ch
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.)
rContents
nedia Library
Enter your answer in the answer box and then click Check Answer.
parts
remaining
Clear All
Check Answer
This course (MATH-160-3458, Tran, Falil 2020) is based on Triola: Elementary Statistics, 13e with Integratea Review
op
esc
司
Transcribed Image Text:6.2.21 E Question Help ne 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? ats k ch 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.) rContents nedia Library Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer This course (MATH-160-3458, Tran, Falil 2020) is based on Triola: Elementary Statistics, 13e with Integratea Review op esc 司
Expert Solution
Step 1

According to the sum, a survey finds that women's height is normally distributed with mean 63.8 and s.d. 2.4 inches.

So, μ=63.8 and σ=2.4

X~N(63.8,2.42)

and Z=X-63.82.4~N(0,1)

 

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