The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. Suppose the following data show the average attendance for the 14 teams in the International League. 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. Division wL PCT Team Name Attendance Buffalo Bisons North 66 77 0.462 8,816 Lehigh Valley IronPigs North 55 89 0.382 8,474 Pawtucket Red Sox North 85 58 0.594 9,092 Rochester Red Wings North 74 70 0.514 6,919 North 88 56 Scranton-Wilkes Barre Yankees 0.611 7,144 Syracuse Chiefs North 69 73 0.486 5,767 Charlotte Knights South 63 78 0.447 4,529 Durham Bulls South 74 70 0.514 6,991 Norfolk Tides South 64 78 0.451 6,288 Richmond Braves South 63 78 0.447 4,457 Columbus Clippers 69 73 0.486 7,797 West Indianapolis Indians West 68 76 0.472 8,533 Louisville Bats 88 56 0.611 West 9,154 Toledo Mud Hens West 75 69 0.521 8,233 (a) Use a = 0.05 to test for any difference in the mean attendance for the three divisions. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H: HN" "s = Hw O Hg: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H - Hs * Hw H: HN = "s = Hw O Hại HN" Hs Hw H: Not all the population means are equal. O Hoi HN " Hs "w
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. Suppose the following data show the average attendance for the 14 teams in the International League. 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. Division wL PCT Team Name Attendance Buffalo Bisons North 66 77 0.462 8,816 Lehigh Valley IronPigs North 55 89 0.382 8,474 Pawtucket Red Sox North 85 58 0.594 9,092 Rochester Red Wings North 74 70 0.514 6,919 North 88 56 Scranton-Wilkes Barre Yankees 0.611 7,144 Syracuse Chiefs North 69 73 0.486 5,767 Charlotte Knights South 63 78 0.447 4,529 Durham Bulls South 74 70 0.514 6,991 Norfolk Tides South 64 78 0.451 6,288 Richmond Braves South 63 78 0.447 4,457 Columbus Clippers 69 73 0.486 7,797 West Indianapolis Indians West 68 76 0.472 8,533 Louisville Bats 88 56 0.611 West 9,154 Toledo Mud Hens West 75 69 0.521 8,233 (a) Use a = 0.05 to test for any difference in the mean attendance for the three divisions. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H: HN" "s = Hw O Hg: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H - Hs * Hw H: HN = "s = Hw O Hại HN" Hs Hw H: Not all the population means are equal. O Hoi HN " Hs "w
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. Suppose the following data show the average attendance for the 14 teams in the International League. 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.
Team Name
Division
w
L
PCT
Attendance
Buffalo Bisons
North
66 77
0.462
8,816
Lehigh Valley IronPigs
North
55
89
0.382
8,474
Pawtucket Red Sox
North
85
58
0.594
9,092
Rochester Red Wings
North
74
70
0.514
6,919
Scranton-Wilkes Barre Yankees
North
88
56
0.611
7,144
Syracuse Chiefs
North
69
73
0.486
5,767
Charlotte Knights
South
63
78
0.447
4,529
Durham Bulls
South
74
70
0.514
6,991
Norfolk Tides
South
64
78
0.451
6,288
Richmond Braves
South
63
78
0.447
4,457
Columbus Clippers
West
69
73
0.486
7,797
Indianapolis Indians
West
68
76
0.472
8,533
Louisville Bats
West
88
56
0.611
9,154
Toledo Mud Hens
West
75
69
0.521
8,233
(a) Use a = 0.05 to test for any difference in the mean attendance for the three divisions.
State the null and alternative hypotheses.
O H,: Not all the population means are equal.
H: HN = Hs = MW
O H,: At least two of the population means are equal.
H.: At least two of the population means are different.
O Ho: HN * Hs * Hw
H: HN = Hs = Mw
O Ho: HN = Hs = Hw
H: Not all the population means are equal.
O Ho: HN = Hs = Hw
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Do not reject H.. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
O Do not reject H.. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
O Reject H,. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
O Reject H,. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
(b) Use Fisher's LSD procedure to determine where the differences occur. Use a = 0.05.
Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.)
North and South
LSD
North and West
LSD =
South and West
LSD =
Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.)
=
=
Which attendance means differ significantly? (Select all that apply.)
O There is a significant difference in mean attendance between the North division and the South division.
O There is a significant difference in mean attendance between the North division and the West division.
O There is a significant difference in mean attendance between the South division and the West division.
O There are no significant differences.
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