A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) Since most men the height requirement, it is lifely that most of the characters are b. If the height re ed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? meet The new height ri imum of in. and maximum of in. do not meet (Round to one de d.)

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A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard
deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below.
a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?
The percentage of men who meet the height requirement is
%.
(Round to two decimal places as needed.)
Since most men
the height requirement, it is likely that most of the characters are
b. If the height re
jed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
meet
The new height r
imum of
in. and a maximum of in.
do not meet
(Round to one de
d.)
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height re jed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? meet The new height r imum of in. and a maximum of in. do not meet (Round to one de d.)
A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard
deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below.
a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?
The percentage of men who meet the height requirement is
(Round to two decimal places as needed.)
%.
Since most men
the height requirement, it is likely that most of the characters are
b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest
are the new height requirements?
women.
The new height requirements are a minimum of
(Round to one decimal place as needed.)
in. and a maximum of
in.
men.
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is (Round to two decimal places as needed.) %. Since most men the height requirement, it is likely that most of the characters are b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest are the new height requirements? women. The new height requirements are a minimum of (Round to one decimal place as needed.) in. and a maximum of in. men.
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