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Elevator Safety Example referred to an Ohio elevator with

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 11BSC Chapter 6.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 11BSC

Elevator Safety Example referred to an Ohio elevator with a maximum capacity of 2500 lb. When rating elevators, it is common to use a 25% safety factor, so the elevator should actually be able to carry a load that is 25% greater than the stated limit. The maximum capacity of 2500 lb becomes 3125 lb after it is increased by 25%, so 16 male passengers can have a mean weight of up to 195.3 lb. If the elevator is loaded with 16 male passengers, find the probability that it is overloaded because they have a mean weight greater than 195.3 lb. (As in Example, assume that weights of males are normally distributed with a mean of 182.9 lb and a standard deviation of 40.8 lb.) Does this elevator appear to be safe?

Example Designing Elevators

Step-by-Step Solution:

Answer :

Step 1 of 1 :

Elevator Safety Example referred to an Ohio elevator with a maximum capacity of 2500 lb. When rating elevators, it is common to use a 25% safety factor, so the elevator should actually be able to carry a load that is 25% greater than the stated limit. The maximum capacity of 2500 lb becomes 3125 lb after it is increased by 25%, so 16 male passengers can have a mean weight of up to 195.3 lb.

By the central limit theorem,the sample mean is normally distributed with mean and standard deviation .

The elevator is loaded with 16 male passengers,a mean weight of up to 195.3 lb.

Here n = 16 and x=195.3

We assume that weights of males are normally distributed with a mean of 182.9 lb and a standard deviation of 40.8 lb.

So = 40.8 and mean = 182.9

Now we have to find the probability that it is overloaded because they have a...

Step 2 of 3

Chapter 6.5, Problem 11BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Since the solution to 11BSC from 6.5 chapter was answered, more than 690 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The answer to “Elevator Safety Example referred to an Ohio elevator with a maximum capacity of 2500 lb. When rating elevators, it is common to use a 25% safety factor, so the elevator should actually be able to carry a load that is 25% greater than the stated limit. The maximum capacity of 2500 lb becomes 3125 lb after it is increased by 25%, so 16 male passengers can have a mean weight of up to 195.3 lb. If the elevator is loaded with 16 male passengers, find the probability that it is overloaded because they have a mean weight greater than 195.3 lb. (As in Example, assume that weights of males are normally distributed with a mean of 182.9 lb and a standard deviation of 40.8 lb.) Does this elevator appear to be safe?Example Designing Elevators” is broken down into a number of easy to follow steps, and 134 words. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: elevator, mean, maximum, passengers, weight. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The full step-by-step solution to problem: 11BSC from chapter: 6.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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