Answered: What percentage of adult men can fit…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A survey found that women's heights are normally distributed with mean

63.6 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.6 in. Consider an executive jet that seats six with a doorway height of 55.9 in.

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

b. Does the door design with a height of 55.9 in. appear to be adequate? Why didn't the engineers design a larger door?

A.The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

B.The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

C.The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

D.The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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