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.
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American League average attendance |
mil |
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National League average attendance |
mil |
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- 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.
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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.
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Decision Rule |
-t < or t > = REJECT H0 |
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Value of Pooled Sample Variances |
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Value of test statistic |
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Decision: enter Reject or Do Not Reject |
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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.
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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
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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.
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Sample 1 |
Sample 2 |
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Top 10 Team Salary |
Bottom 10 Team Salary |
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Sample mean attendance |
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Sample attendance variance |
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Sample attendance standard deviation |
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