A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.12 lb, the mean of all of the weights is x 2.307 lb, and the standard deviation of the weights is s = 1.676 lb. a. What is the difference between the weight of 5.12 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 5.12 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 5.12 lb significant? a. The difference is Ib. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is (STA20

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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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 5.12 lb, the mean of all of the weights is x 2.307 lb, and the standard deviation of
the weights is s = 1.676 lb.
a. What is the difference between the weight of 5.12 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 5.12 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 5.12 lb significant?
a. The difference is Ib.
(Type an integer or a decimal. Do not round.)
b. The difference is
standard deviations.
(Round to two decimal places as needed.)
c. The z score is z=
(Round to two decimal places as needed.)
d. The highest weight is
(STA20
Transcribed Image Text:A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.12 lb, the mean of all of the weights is x 2.307 lb, and the standard deviation of the weights is s = 1.676 lb. a. What is the difference between the weight of 5.12 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 5.12 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 5.12 lb significant? a. The difference is Ib. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is (STA20
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