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# Doorway Height The Boeing 757-200 ER airliner carries 200 ISBN: 9780321836960 18

## Solution for problem 21BSC Chapter 6.5

Elementary Statistics | 12th Edition

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Problem 21BSC

Doorway Height The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. (based on Data Set 1 in Appendix B).

a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.

b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 in.

c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why?

d. When considering the comfort and safety of passengers, why are women ignored in this case?  Step-by-Step Solution:

Step 1 of 2</p>

Given, the Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in.

a. If a male passenger is randomly selected, the probability that he can fit through the doorway without bending.

We are dealing with individual value from a normally distributed population so mean is 69.5 in. and standard deviation is 2.4 in.

The Test Statistic can be expressed as  Z  = 1.04

To find the associated probability, we have

P( )

P(Z 1.04) = 0.8508 (From Area Under Normal Curve table)

Step 2 of 2

##### ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 21BSC from 6.5 chapter was answered, more than 1017 students have viewed the full step-by-step answer. The answer to “Doorway Height The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. (based on Data Set 1 in Appendix B).a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.________________b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 in.________________c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why?________________d. When considering the comfort and safety of passengers, why are women ignored in this case?” is broken down into a number of easy to follow steps, and 129 words. The full step-by-step solution to problem: 21BSC from chapter: 6.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: passengers, Probability, height, Men, comfort. This expansive textbook survival guide covers 121 chapters, and 3629 solutions.

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