A survey found that​ women's heights are normally distributed with mean 63.2in. and standard deviation 2.7 in. The survey also found that​ men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.6. Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.   The percentage of women who meet the height requirement is (Round to two decimal places as​ needed.) b. Find the percentage of men meeting the height requirement.   The percentage of men who meet the height requirement is (Round to two decimal places as​ needed.)   c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements?   The new height requirements are at least in. and at most 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 63.2in. and standard deviation 2.7
in. The survey also found that​ men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.6.
Complete parts a through c below.
a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9in. and a maximum of 6 ft
2 in. Find the percentage of women meeting the height requirement.
 
The percentage of women who meet the height requirement is
(Round to two decimal places as​ needed.)
b. Find the percentage of men meeting the height requirement.
 
The percentage of men who meet the height requirement is
(Round to two decimal places as​ needed.)
 
c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements?
 
The new height requirements are at least in. and at most in.
​(Round to one decimal place as​ needed.)
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