A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.1 in. The survey also found that men's heights are normally distributed with mean 67.4 in. and standard deviation 3.2 in. Consider an executive jet that seats six with a doorway height of 55.9 in. Complete parts (a) through (c) below.

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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1. What percentage of adult men can fit through the door without​ bending?

3. What doorway height would allow​ 40% of men to fit without​ bending?

 

A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.1 in. The survey also found that men's heights are normally
distributed with mean 67.4 in. and standard deviation 3.2 in. Consider an executive jet that seats six with a doorway height of 55.9 in. Complete parts (a) through (c)
below.
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.1 in. The survey also found that men's heights are normally distributed with mean 67.4 in. and standard deviation 3.2 in. Consider an executive jet that seats six with a doorway height of 55.9 in. Complete parts (a) through (c) below.
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