If your score on your next statistics test is converted to a z​ score, which of these z scores would you​ prefer: −​2.00, −​1.00, ​0, 1.00,​ 2.00? Why?   A. The z score of −1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score.   B. The z score of 0 is most preferable because it corresponds to a test score equal to the mean.   C. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores.   D. The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.   E. The z score of −2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores.

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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If your score on your next statistics test is converted to a z​ score, which of these z scores would you​ prefer: −​2.00, −​1.00, ​0, 1.00,​ 2.00? Why?
 
A.
The z score of
−1.00
is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score.
 
B.
The z score of 0 is most preferable because it corresponds to a test score equal to the mean.
 
C.
The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores.
 
D.
The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.
 
E.
The z score of
−2.00
is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores.
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