Question: One year Frank 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 Frank 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 2.73. Also, Susan had the lowest ERA of any female pitcher at the school with an ERA of 2.76. For the males, the mean ERA was 4.869 and the standard deviation was 0.788. For the females, the mean ERA was 4.519 and the standard deviation was 0.896. Find their respective z-scores. Which player had the better year relative to their peers, Frank or Susan? (Note: In general, the lower the ERA, the better the pitcher.)
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