Is there slugger with average significantly higher than rest

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Reference no: EM13953025

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?

Reference no: EM13953025

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