In: Statistics and Probability
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseballteams for the 2012 season.
a. At the .05 significance level, can we conclude that there is a difference in the mean sal-ary of teams in the American League versus teams in the National League?
b. At the .05 significance level, can we conclude that there is a difference in the mean home attendance of teams in the American League versus teams in the NationalLeague?
c. Compute the mean and the standard deviation of the number of wins for the 10 teamswith the highest salaries. Do the same for the 10 teams with the lowest salaries. At the .05 significance level, is there a difference in the mean number of wins for the two groups?
SOLUTION :
Given that ,
a).
a. The null and alternative hypothesis is
The tabulated value is less than critical value, do not reject the null hypothesis
There is no difference in mean salary of teams in the American League versus teams in the National League
b).
Same hypothesis is considered
The tabulated value is less than critical value, do not reject the null hypothesis
There is no difference in mean home attendance of teams in the American League versus teams in the National League
c).
he mean and the standard deviation of the number of wins for the 10 teams with the highest salaries
Mean= 82.8
Standard deviation= 9.33
he mean and the standard deviation of the number of wins for the 10 teams with the lowest salaries
mean =77.3
Standard deviation= 12.84
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