One year Joshhad the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.32. ​Also, Julie had the lowest ERA of any female pitcher at the school with an ERA of 2.74. For the​ males, the mean ERA was 5.066 and the standard deviation was 0.783. For the​ females, the mean ERA was 4.296 and the standard deviation was 0.641. Find their respective​ z-scores. Which player had the better year relative to their​ peers, Josh or Julie​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)       Josh had an ERA with a​ z-score of   Julie had an ERA with a​ z - score of ​(Round to two decimal places as​ needed.)   Which player had a better year in comparison with their​ peers?

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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One year Joshhad the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.32. ​Also, Julie had the lowest ERA of any female pitcher at the school with an ERA of 2.74. For the​ males, the mean ERA was 5.066 and the standard deviation was 0.783. For the​ females, the mean ERA was 4.296 and the standard deviation was 0.641.
Find their respective​ z-scores. Which player had the better year relative to their​ peers, Josh or Julie​?
​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)
 
 
 
Josh had an ERA with a​ z-score of
 
Julie had an ERA with a​ z - score of
​(Round to two decimal places as​ needed.)
 
Which player had a better year in comparison with their​ peers?
 
 
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