Answered: adult male passengers, find the…

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 14PPS

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Question

An elevator has a placard stating that the maximum capacity is

2415

lb—15

passengers. So,

adult male passengers can have a mean weight of up to

2415/15=161 pounds.

If the elevator is loaded with

adult male passengers, find the probability that it is overloaded because they have a mean weight greater than

161

lb. (Assume that weights of males are normally distributed with a mean of

167 lb

and a standard deviation of

26 lb.)

Does this elevator appear to be safe?

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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