The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 5023 households discard waste with weights having a mean that exceeds 27.42 lb/wk. For many different weeks, it is found that the samples of 5023 households have weights that are normally distributed with a mean of 27.09 lb and a standard deviation of 12.31 lb. Normal CalculatorWhat is the proportion of weeks in which the waste disposal facility is overloaded?P(M > 27.42) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Is this an acceptable level, or should action be taken to correct a problem of an overloaded system? No, this is not an acceptable level because it is not unusual for the system to be overloaded. Yes, this is an acceptable level because it is unusual for the system to be overloaded.

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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The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 5023 households discard waste with weights having a mean that exceeds 27.42 lb/wk. For many different weeks, it is found that the samples of 5023 households have weights that are normally distributed with a mean of 27.09 lb and a standard deviation of 12.31 lb.

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What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 27.42) = 
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Is this an acceptable level, or should action be taken to correct a problem of an overloaded system?

  • No, this is not an acceptable level because it is not unusual for the system to be overloaded.
  • Yes, this is an acceptable level because it is unusual for the system to be overloaded.
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