A survey found that​ women's heights are normally distributed with mean 63.463.4 in. and standard deviation 2.32.3 in. The survey also found that​ men's heights are normally distributed with mean 68.368.3 in. and standard deviation 3.83.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 5656 in. and a maximum of 6464 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 nothing​%. ​(Round to two decimal places as​ needed.) Since most men ▼   do not meet meet the height​ requirement, it is likely that most of the characters are ▼   women. men. b. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?   The new height requirements are a minimum of nothing in. and a maximum of nothing in. ​(Round to one decimal place as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A survey found that​ women's heights are normally distributed with mean
63.463.4
in. and standard deviation
2.32.3
in. The survey also found that​ men's heights are normally distributed with mean
68.368.3
in. and standard deviation
3.83.8
in. Most of the live characters employed at an amusement park have height requirements of a minimum of
5656
in. and a maximum of
6464
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
nothing​%.
​(Round to two decimal places as​ needed.)
Since most men
 
do not meet
meet
the height​ requirement, it is likely that most of the characters are
 
women.
men.
b. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?
 
The new height requirements are a minimum of
nothing
in. and a maximum of
nothing
in.
​(Round to one decimal place as​ needed.)
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