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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s=2.472 lb. a. What is the difference between the weight of 5.74 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.74 lb to a z score. d. If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the weight of 5.74 lb significant?

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s=2.472 lb. a. What is the difference between the weight of 5.74 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.74 lb to a z score. d. If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the weight of 5.74 lb significant?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s = 2.472 lb. a. What is the difference between the weight of 5.74 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.74 lb to a z score. d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.74 lb significant?
Transcribed Image Text:A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s = 2.472 lb. a. What is the difference between the weight of 5.74 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.74 lb to a z score. d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.74 lb significant?
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