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
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
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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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