Question

In: Statistics and Probability

sample of 16 Triple-A minor league baseball teams were selected for statistical analysis. The following data...

sample of 16 Triple-A minor league baseball teams were selected for statistical analysis. The following data show the average attendance for the 16 teams selected. 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.  Additionally, each teams’ major league association was given. The data are contained in the file named AAA.

Team Name

League

W

L

PCT

Attendance

Buffalo Bisons

American

66

77

0.462

8812

Lehigh Valley IronPigs

National

55

89

0.382

8479

Pawtucket Red Sox

American

85

58

0.594

9097

Rochester Red Wings

American

74

70

0.514

6913

Scranton-Wilkes Barre Yankees

American

88

56

0.611

7147

Reno Aces

National

80

62

0.563

5765

Charlotte Knights

American

63

78

0.447

4526

Durham Bulls

American

74

70

0.514

6995

Nashville Sounds

American

72

68

0.514

8823

Norfolk Tides

American

64

78

0.451

6286

Richmond Braves

National

63

78

0.447

4455

Columbus Clippers

American

69

73

0.486

7795

Indianapolis Indians

National

68

76

0.472

8538

Louisville Bats

National

88

56

0.611

9152

Toledo Mud Hens

American

75

69

0.521

823

  1. Graph and Summary statistics:  present a graph that summarizes the data along with a table of summary statistics for each variable in the data set.  An interpretation must accompany any graph, chart, or table that you use.

Solutions

Expert Solution

Team Name League W L PCT Attendance
Buffalo Bisons American 66 77 0.462 8812
Lehigh Valley IronPigs National 55 89 0.382 8479
Pawtucket Red Sox American 85 58 0.594 9097
Rochester Red Wings American 74 70 0.514 6913
Scranton-Wilkes Barre Yankees American 88 56 0.611 7147
Reno Aces National 80 62 0.563 5765
Charlotte Knights American 63 78 0.447 4526
Durham Bulls American 74 70 0.514 6995
Nashville Sounds American 72 68 0.514 8823
Norfolk Tides American 64 78 0.451 6286
Richmond Braves National 63 78 0.447 4455
Columbus Clippers American 69 73 0.486 7795
Indianapolis Indians National 68 76 0.472 8538
Louisville Bats National 88 56 0.611 9152
Toledo Mud Hens American 75 69 0.521 823
Total 1084 1058 7.589 103606
Mean 72.26666667 70.53333333 0.505933333 6907.066667
Variance 95.4952381 89.12380952 0.004451067 5250557.21

The table shows mean and variance of each variable.

Interpretation: From the chart we can see that attendance of the team Louisvile Bats in National league was the highest and that of the team Toledo Mud Hens in American league was lowest.

And there is no significant differences in each case of number of lost games, won games, proportion of games played that were won respectively.


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