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A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143-lbs and a standard deviation of 29-lbs, and men working for the company have weights that are normally distributed with a mean of 169-lbs and a standard deviation of 35-lbs. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want to a 0.98 probability that this maximum will not be exceeded when 18 males are randomly selected. maximum weight = -lbs Enter your answer rounded to the nearest whole number. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143-lbs and a standard deviation of 29-lbs, and men working for the company have weights that are normally distributed with a mean of 169-lbs and a standard deviation of 35-lbs. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want to a 0.98 probability that this maximum will not be exceeded when 18 males are randomly selected. maximum weight = -lbs Enter your answer rounded to the nearest whole number. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

MATLAB: An Introduction with Applications
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 fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lbs and a standard deviation of 29 lbs, and men working for the company have weights that are normally distributed with a mean of 169 lbs and a standard deviation of 35 lbs. You need to design an elevator that will safely carry 18 people. Assuming a worst-case scenario of 18 male passengers, find the maximum total allowable weight if we want to a 0.98 probability that this maximum will not be exceeded when 18 males are randomly selected. Maximum weight = [___________] lbs Enter your answer rounded to the nearest whole number. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. [Submit Question]
Transcribed Image Text:A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lbs and a standard deviation of 29 lbs, and men working for the company have weights that are normally distributed with a mean of 169 lbs and a standard deviation of 35 lbs. You need to design an elevator that will safely carry 18 people. Assuming a worst-case scenario of 18 male passengers, find the maximum total allowable weight if we want to a 0.98 probability that this maximum will not be exceeded when 18 males are randomly selected. Maximum weight = [___________] lbs Enter your answer rounded to the nearest whole number. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. [Submit Question]
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