A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.37 lb, the mean of all of the weights is x=1.983 lb, and the standard deviation of the weights is s=1.849lb. a. What is the difference between the weight of 5.37 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 5.37 lb to a z score. d. If we consider weights that convert to z scores between −2and 2 to be neither significantly low nor significantly high, is the weight of 5.37lb significant?

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.37 lb, the mean of all of the weights is x=1.983 lb, and the standard deviation of the weights is s=1.849lb. a. What is the difference between the weight of 5.37 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 5.37 lb to a z score. d. If we consider weights that convert to z scores between −2and 2 to be neither significantly low nor significantly high, is the weight of 5.37lb significant?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.37 lb, the mean of all of the weights is x=1.983 lb, and the standard deviation of the weights is s=1.849lb.

a. What is the difference between the weight of 5.37 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 5.37 lb to a z score.

d. If we consider weights that convert to z scores between

−2and 2 to be neither significantly low nor significantly high, is the weight of 5.37lb significant?

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