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 3.44. Also, Beth had The lowest ERA of any female pitcher at the school with an ERA of 2.68. For the males, the mean ERA was 4.733 and then standard deviation was 0.658. For the females, the mean ERA was 4.507 and then standard deviation was 0.541. Find their respective z Scores. Which player had the better year relatives to their peers, Ted or Beth? (Note: The lower the ERA, the better the pitcher.)

Answer 1