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 de- ceased, so this time period constitutes the final 10 years of McGwire's and Ruth's respective careers.
Home Run Production for Five Great Sluggers
Ruth McGwire Sosa Bonds Griffey
|
|
25
|
42
|
15
|
34
|
27
|
|
47
|
9
|
10
|
46
|
45
|
|
60
|
9
|
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
|
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?