The following table shows the home run production of five of baseball’s greatest sluggers over a period of 10 years. Each has hit at least 56 home runs in a season and all but Griffey have had seasons with 60 or more. Sosa, Bonds, and Griffey are still active, McGwire has retired, and Ruth is deceased, so this time period constitutes the final 10 years of McGwire’s and Ruth’s respective careers.

a. Construct an ANOVA table to test whether or not there are statistically significant differences in the home run production of these sluggers over the ten-year period.

b. If the F test indicates significant differences at the 0.05 significance level, apply Tukey’s HSD to see if there is a slugger who stands out with the lowest average. Is there a slugger with an average significantly higher than the rest? Is Bonds at 42.5 significantly higher than Sosa at 37.0?

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Home Run Production for Five Great Sluggers Ruth McGwire Sosa Bonds Griffey 25 42 15 34 27 47 10 46 45 60 8 37 40 54 39 33 33 17 46 52 25 42 49 49 58 36 40 56 46 70 66 37 56 41 65 63 34 48 34 32 50 49 40 22 29 64 73 22 Total 424 405 370 425 400 Average 42.4 40.5 37.0 42.5 40.0