One year Hank 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 3.05. Also, Sally had the lowest ERA of any female pitcher at the school with an ERA of 2.96. For the males, the mean ERA was 3.848 and the standard deviation was
0.742. For the females, the mean ERA was 5.007 and the standard deviation was 0.722. Find their respective Z-scores. Which player had the better year relative to
their peers, Hank or Sally? (Note: In general, the lower the ERA, the better the pitcher.)
Tests
Hank had an ERA with a z-score of
Sally had an ERA with a z-score of