A survey found that​ women's heights are normally distributed with mean 62.3 in. and standard deviation3.1in. The survey also found that​ men's heights are normally distributed with mean 67.3 in and standard deviation 3.9in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57in. and a maximum of 62 in 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 ?   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?  and a maximum of?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A survey found that​ women's heights are normally distributed with mean 62.3 in. and standard deviation3.1in. The survey also found that​ men's heights are normally distributed with mean 67.3 in and standard deviation 3.9in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57in. and a maximum of 62 in

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 ?
 
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?
 and a maximum of?
 
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