One year Thomas had 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 2.56. ​Also, Amber had the lowest ERA of any female pitcher at the school with an ERA of 3.06. For the​ males, the mean ERA was 4.225 and the standard deviation was 0.712. For the​ females, the mean ERA was 4.199 and the standard deviation was 0.612. Find their respective​ z-scores. Which player had the better year relative to their​ peers, Thomas or Amber​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.) Thomas had an ERA with a​ z-score of   Amber had an ERA with a​ z-score of   ​(Round to two decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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One year
Thomas
had 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
2.56.
​Also,
Amber
had the lowest ERA of any female pitcher at the school with an ERA of
3.06.
For the​ males, the mean ERA was
4.225
and the standard deviation was
0.712.
For the​ females, the mean ERA was
4.199
and the standard deviation was
0.612.
Find their respective​ z-scores. Which player had the better year relative to their​ peers,
Thomas
or
Amber​?
​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)
Thomas
had an ERA with a​ z-score of
 
Amber
had an ERA with a​ z-score of
 
​(Round to two decimal places as​ needed.)
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