62.Refer to the Baseball 2009 data, which report information on the 30 Major League Baseball teams for the 2009 season.
a.
At the .05 significance level, can we conclude that there is a difference in the mean salary 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 National League?
c.
Compute the mean and the standard deviation of the number of wins for the 10 teams with 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?
We do not have access to the "Baseball 2009 data."
To answer these questions using the Baseball 2009 data, you need to perform statistical tests and calculations. Here's how to approach each question:
a. To determine if there is a difference in the mean salary of teams in the American League versus teams in the National League, you can conduct an independent samples t-test.
1. First, calculate the mean and standard deviation of salaries for both the American League and the National League teams.
2. Then, use the t-test formula to calculate the t-value and p-value.
3. Set the significance level to 0.05 (or 5%). If the p-value is less than 0.05, you can conclude that there is a significant difference in the mean salary between the two leagues.
b. To determine if there is a difference in the mean home attendance of teams in the American League versus teams in the National League, you can also use an independent samples t-test.
1. Calculate the mean and standard deviation of home attendance for both leagues.
2. Use the t-test formula to calculate the t-value and p-value.
3. Set the significance level to 0.05. If the p-value is less than 0.05, you can conclude that there is a significant difference in the mean home attendance between the two leagues.
c. To compare the mean number of wins for teams with the highest and lowest salaries, you can use a independent t-test or a Wilcoxon rank-sum test.
1. Identify the 10 teams with the highest salaries and calculate their mean and standard deviation of number of wins.
2. Identify the 10 teams with the lowest salaries and calculate their mean and standard deviation of number of wins.
3. Conduct either a t-test or Wilcoxon rank-sum test to compare the means. Use a significance level of 0.05. If the p-value is less than 0.05, you can conclude that there is a significant difference in the mean number of wins between the two salary groups.
Please note that these instructions provide a general approach to answering the questions, and the specific steps may vary depending on the statistical software or tools you are using. It's also crucial to ensure that the data meets the assumptions of the statistical tests being used.