34. Refer to the Baseball 2010 data, which report information on the 30 Major Le
ID: 3270787 • Letter: 3
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 29Related Questions
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