One year Perry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher

Question

One year Perry 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 3.17. Also, Susan had the lowest ERA of any female pitcher at the school with an ERA of 3.16. For the males, the mean ERA was 4.242 and the standard deviation was 0.873. For the females, the mean ERA was 3.949 and the standard deviation was 0.874. Find their respective Z-scores. Which player had the better year relative to their peers, Perry or Susan? (Note: In general, the lower the ERA, the better the pitcher.)
a)Perry had an ERA with a Z-score of
b)Susan had an ERA with a Z-score of

Kunduz · Accepted Answer

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