A survey found that​ women's heights are normally distributed with mean 63.9 in and standard deviation 2.2 in. A branch

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answerhappygod
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A survey found that​ women's heights are normally distributed with mean 63.9 in and standard deviation 2.2 in. A branch

Post by answerhappygod »

A survey found that​ women's heights are normally
distributed with mean 63.9 in and standard deviation 2.2 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?
a. The percentage of women who meet the height requirement
is
enter your response here​%.
​(Round to two decimal places as​ needed.)
Part 2
Are many women being denied the opportunity to join this branch
of the military because they are too short or too​ tall?
A.
​No, because the percentage of women who meet the height
requirement is fairly small.
B.
​Yes, because the percentage of women who meet the height
requirement is fairly large.
C.
​No, because only a small percentage of women are not allowed to
join this branch of the military because of their height.
D.
​Yes, because a large percentage of women are not allowed to
join this branch of the military because of their height.
Part 3
b. For the new height​ requirements, this branch of the
military requires​ women's heights to be at least
enter your response here
in and at most
enter your response here
in.
​(Round to one decimal place as​ needed.)
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