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.
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.
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 |
Difference | Absolute Value (to 2 decimals) |
LSD (to 2 decimals) |
Conclusion |
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