Answered: The town of KnowWearSpatial, U.S.A.…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 5090 households discard waste with weights having a mean that exceeds 27.4 lb/wk. For many different weeks, it is found that the samples of 5090 households have weights that are normally distributed with a mean of 27.09 lb and a standard deviation of 12.43 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 27.4) =_________

(Enter your answer as a number accurate to 4 decimal places.)

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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