34. Refer to the Baseball 2010 data, which report information on the 30 Major Le

Question

34. Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball teams for the 2010 season.

a) At the .10significance level, is there a difference in the variation in team payroll among the American and National League teams?

b) Create a variable that classifes a teams total zttendance into three groups: less than 2.0 (million), 2.0 up to 3.0 or more. At the .01 significance level, is there a difference in the mean number of games won amongthe three groups.

c) Using the same attendance variable developed in part (b), is there a differance in the mean number of home runs hit per team? Use the .01 significance level.

d) Usung the same attendance variable developed in part (b), is there a differance inthe mean payroll of the three groups? Use the sifnificance level.

Explanation / Answer

Solution:

a) H0: a2 = g2   H1: a2 g2 Reject H0 if F > 2.45

F = (37.45)2/(31.09)2 = 1.45 Do not reject H0.

There may be no difference in the two variances.

b) H0: 1 = 2 = 3   H1 = Not all treatment means are equal.

Reject H0 if F > 3.35

Reject H0: The mean numbers of games won is not equal.

c) H0: 1 = 2 = 3   H1 = Not all treatment means are equal.

Reject H0 if F > 3.35

Do not reject H0. The mean number of home runs are the same.

d) H0: 1 = 2 = 3   H1 = Not all treatment means are equal.

Reject H0 if F > 3.35

Reject H0. The mean salaries are different.

Source SS df MS F Treatment 1679 2 839.5 10.73 Error 2113 27 78.26 Total 3792 29

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