Question
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school,
One year Terry 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 3.41. Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 2.66. For the males, the mean ERA was 3.937 and the standard deviation was 0.549. For the females, the mean ERA was 3.824 and the standard deviation was 0.971.
Find their respective z-scores. Which player had the better year relative to their peers, Terry or Rita?
(Note: In general, the lower the ERA, the better the pitcher.)
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