Let's look at attendance between the two leagues and draw some conclusions. For purposes parts D and E, we are assuming that separating the data into 2 groups based on League is considered sampling; thus, we have 2 samples (American League and National League) and assume we do NOT know the population standard deviations for both "populations" (we only have 1 overall population, not 2). What was the average attendance in each league? Round your answer to 3 decimal places. American League average attendance mil National League average attendance mil space space Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams in the American League vs teams in the National League. Use a 0.05 level of significance in your testing procedures. Additionally:
Let's look at attendance between the two leagues and draw some conclusions. For purposes parts D and E, we are assuming that separating the data into 2 groups based on League is considered sampling; thus, we have 2 samples (American League and National League) and assume we do NOT know the population standard deviations for both "populations" (we only have 1 overall population, not 2).
- What was the average attendance in each league? Round your answer to 3 decimal places.
|
American League average attendance |
mil |
|
National League average attendance |
mil |
space
space
- Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams in the American League vs teams in the National League. Use a 0.05 level of significance in your testing procedures. Additionally:
- You will need to know the standard deviations and variances for attendance in each league to conduct this test.
- We are assuming that both American and National League attendance figures follow a
normal distribution . - American and National league data are samples; thus, the population standard deviations are unknown.
SPACE
Hint: When calculating your pooled sample variance and your test statistic, assume the American League data is sample 1 and the National League data is sample 2.
space
|
Decision Rule |
-t < or t > = REJECT H0 |
|
Value of Pooled Sample Variances |
|
|
Value of test statistic |
|
|
Decision: enter Reject or Do Not Reject |
SPACE
Is there a difference in the mean attendance of teams in the American League vs. teams in the National League assuming a 0.05 level of significance? Enter Yes or No.
space
space
space
Another idea is to look at how a team's payroll impacts its home attendance. Higher payroll usually signals more higher-skilled players on a roster which should brings fans to the ballpark to see these players.
- Create 2 samples based on Team Salary and calculate average attendance, variance of attendance, and standard deviation of attendance for each sample.
- Sample 1 = 10 teams with the highest team salary
- Sample 2 = 10 teams with the lowest team salary
space
Tip: Use Excel's sorting tool to sort the data by salary (highest to lowest), and copy the 10 highest and 10 lowest into a separate part of the spreadsheet for easier analysis.
space
|
|
Sample 1 |
Sample 2 |
|
|
Top 10 Team Salary |
Bottom 10 Team Salary |
|
Sample mean attendance |
mil |
mil |
|
Sample attendance variance |
mil |
mil |
|
Sample attendance standard deviation |
mil |
mil |
space
space
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
