The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. The data showing the average attendance for the 14 teams in the International League are contained in the Excel Online file below. Also shown are the teams’ records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won. Construct a spreadsheet to answer the following questions. Team Name Division W L PCT Attendance Buffalo Bisons North 66 77 0.462 8791 Lehigh Valley IronPigs North 55 89 0.382 8454 Pawtucket Red Sox North 85 58 0.594 9080 Rochester Red Wings North 79 70 0.53 6909 Scranton-Wilkes Barre Yankees North 88 56 0.611 7164 Syracuse Chiefs North 69 77 0.473 5749 Charlotte Knights South 68 78 0.466 4545 Durham Bulls South 74 70 0.514 7020 Norfolk Tides South 64 78 0.451 6269 Richmond Braves South 63 79 0.444 4449 Columbus Clippers West 69 73 0.486 7824 Indianapolis Indians West 68 76 0.472 8561 Louisville Bats West 86 56 0.606 9158 Toledo Mud Hens West 75 69 0.521 8217 Use a=.05 to test for any difference in the mean attendance for the three divisions. Calculate the value of the f-statistic (to 2 decimals). _____ Use Fisher’s LSD procedure to test whether there is a significant difference between the means for North (1), South (2), and West (3). Use a=.05. Difference Absolute Value (to 2 decimals) LSD (to 2 decimals) Conclusion x1bar-x2bar x1bar-x3bar x2bar-x3bar
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
13.2
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. The data showing the average attendance for the 14 teams in the International League are contained in the Excel Online file below. Also shown are the teams’ records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won. Construct a spreadsheet to answer the following questions.
| Team Name | Division | W | L | PCT | Attendance |
| Buffalo Bisons | North | 66 | 77 | 0.462 | 8791 |
| Lehigh Valley IronPigs | North | 55 | 89 | 0.382 | 8454 |
| Pawtucket Red Sox | North | 85 | 58 | 0.594 | 9080 |
| Rochester Red Wings | North | 79 | 70 | 0.53 | 6909 |
| Scranton-Wilkes Barre Yankees |
North | 88 | 56 | 0.611 | 7164 |
| Syracuse Chiefs | North | 69 | 77 | 0.473 | 5749 |
| Charlotte Knights | South | 68 | 78 | 0.466 | 4545 |
| Durham Bulls | South | 74 | 70 | 0.514 | 7020 |
| Norfolk Tides | South | 64 | 78 | 0.451 | 6269 |
| Richmond Braves | South | 63 | 79 | 0.444 | 4449 |
| Columbus Clippers | West | 69 | 73 | 0.486 | 7824 |
| Indianapolis Indians | West | 68 | 76 | 0.472 | 8561 |
| Louisville Bats | West | 86 | 56 | 0.606 | 9158 |
| Toledo Mud Hens | West | 75 | 69 | 0.521 | 8217 |
Use a=.05 to test for any difference in the mean attendance for the three divisions.
Calculate the value of the f-statistic (to 2 decimals). _____
Use Fisher’s LSD procedure to test whether there is a significant difference between the means for North (1), South (2), and West (3). Use a=.05.
| Difference | Absolute Value (to 2 decimals) |
LSD (to 2 decimals) |
Conclusion |
| x1bar-x2bar | |||
| x1bar-x3bar | |||
| x2bar-x3bar |
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