One year Roger 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 3.49. Also, Kate had the lowest ERA of any female pitcher at the school with an ERA of 3.44. For the males, the mean ERA was 3.805 and the standard deviation was 0.671. For the females, the mean ERA was 3.967 and the standard
deviation was 0.604. Find their respective z-scores. Which player had the better year relative to their
peers, Roger or Kate? (Note: In general, the lower the ERA, the better the pitcher.)