A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Since most men
do not meet/meet
 
the height​ requirement, it is likely that most of the characters are
women/men
 
Part 3
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
 
 
in. and a maximum of in.
​(Round to one decimal place as​ needed.)
A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.8 in. Most of the live characters employed at an
amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts (a) and (b) below.
C
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.)
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts (a) and (b) below. C 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.)
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