One year Hank had the lowest ERA (earned-run average mean number of runs yielded

Question

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, wm an ERA of 2.79 Also. Alice had the lowest ERA of any female pitcher at the school with an ERA of 3.08.For the males, the mean ERA, was 5.062. for the standard deviation was 0.855, For tie females the mean ERA was 3.766 and the standard deviation was 0.941, find their respective z-scores. Which player had the better year relative to their peers, Hank or Alice? Hank had an ERA with a z-score of Alice had an ERA with a z-score of

Explanation / Answer

Hank

x=2.79

mean=5.062

standard dev=0.855

Z score= (x-mean)/standard dev =(2.79-5.062)/0.855 = -2.66

Now

Alice

x=3.08

mean=3.766

standard dev=0.941

Z score= (x-mean)/standard dev =(3.08-3.766)/0.941 = -0.73

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