Ted 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 3.43. ​Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 2.74. For the​ males, the mean ERA was 4.523 and the standard deviation was 0.532. For the​ females, the mean ERA was 5.069 and the standard deviation was 0.905. Find their respective​ z-scores. Which player had the better year relative to their​ peers, Ted or Rita​? ​(Note: In​ general, the

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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One year

Ted

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

3.43.

​Also,

Rita

had the lowest ERA of any female pitcher at the school with an ERA of

2.74.

For the​ males, the mean ERA was

4.523

and the standard deviation was

0.532.

For the​ females, the mean ERA was

5.069

and the standard deviation was

0.905.

Find their respective​ z-scores. Which player had the better year relative to their​ peers,

Ted

or

Rita​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)
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