A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.24 Ib, the mean of all of the weights is x=2.208 lb, and the standard deviation of the weights is s = 1.971 Ib. a. What is the difference between the weight of 5.24 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 5.24 Ib 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 5.24 Ib significant?

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 (Ib) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weights is x= 2.208 Ib, and
the standard deviation of the weights is s = 1.971 Ib.
a. What is the difference between the weight of 5.24 Ib and the mean of the weights?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the weight of 5.24 Ib 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 5.24 lb
significant?
Transcribed Image Text:A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weights is x= 2.208 Ib, and the standard deviation of the weights is s = 1.971 Ib. a. What is the difference between the weight of 5.24 Ib and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.24 Ib 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 5.24 lb significant?
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