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 8,812 Lehigh Valley IronPigs North 55 89 0.382 8,476 Pawtucket Red Sox North 85 58 0.594 9,091 Rochester Red Wings North 74 70 0.514 6,917 Scranton-Wilkes Barre Yankees North 88 56 0.611 7,142 Syracuse Chiefs North 69 73 0.486 5,769 Charlotte Knights South 63 78 0.447 4,527 Durham Bulls South 74 70 0.514 6,993 Norfolk Tides South 64 78 0.451 6,285 Richmond Braves South 63 78 0.447 4,455 Columbus Clippers West 69 73 0.486 7,794

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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
8,812
Lehigh Valley IronPigs
North
55
89
0.382
8,476
Pawtucket Red Sox
North
85
58
0.594
9,091
Rochester Red Wings
North
74
70
0.514
6,917
Scranton-Wilkes Barre Yankees
North
88
56
0.611
7,142
Syracuse Chiefs
North
69
73
0.486
5,769
Charlotte Knights
South
63
78
0.447
4,527
Durham Bulls
South
74
70
0.514
6,993
Norfolk Tides
South
64
78
0.451
6,285
Richmond Braves
South
63
78
0.447
4,455
Columbus Clippers
West
69
73
0.486
7,794
Indianapolis Indians
West
68
76
0.472
8,531
Louisville Bats
West
88
56
0.611
9,154
Toledo Mud Hens
West
75
69
0.521
8,231
(a) Use a = 0.05 to test for any difference in the mean attendance for the three divisions.
State the null and alternative hypotheses.
Ho: Not all the population means are equal.
Ha: HN = Hs = HW
Myy = SH = NH :ºH
H: Not all the population means are equal.
Ho: At least two of the population means are equal.
H: At least two of the population means are different.
a'
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 8,812 Lehigh Valley IronPigs North 55 89 0.382 8,476 Pawtucket Red Sox North 85 58 0.594 9,091 Rochester Red Wings North 74 70 0.514 6,917 Scranton-Wilkes Barre Yankees North 88 56 0.611 7,142 Syracuse Chiefs North 69 73 0.486 5,769 Charlotte Knights South 63 78 0.447 4,527 Durham Bulls South 74 70 0.514 6,993 Norfolk Tides South 64 78 0.451 6,285 Richmond Braves South 63 78 0.447 4,455 Columbus Clippers West 69 73 0.486 7,794 Indianapolis Indians West 68 76 0.472 8,531 Louisville Bats West 88 56 0.611 9,154 Toledo Mud Hens West 75 69 0.521 8,231 (a) Use a = 0.05 to test for any difference in the mean attendance for the three divisions. State the null and alternative hypotheses. Ho: Not all the population means are equal. Ha: HN = Hs = HW Myy = SH = NH :ºH H: Not all the population means are equal. Ho: At least two of the population means are equal. H: At least two of the population means are different. a'
Ho: HN + Hs + Hw
Hạ: HN = Hs = HW
Ho: HN = Hs
Ha: HN# Ms# HW
Hw
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
%D
State your conclusion.
Do not reject Ho. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
Reject Ho. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
Do not reject Ho. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.
Reject Ho. 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.)
Sx - Nx
*N - *w
Xs - Xw
Which attendance means differ significantly? (Select all that apply.)
There is a significant difference in mean attendance between the North division and the South division.
There is a significant difference in mean attendance between the North division and the West division.
There is a significant difference in mean attendance between the South division and the West division.
There are no significant differences.
II
O O
O O
Transcribed Image Text:Ho: HN + Hs + Hw Hạ: HN = Hs = HW Ho: HN = Hs Ha: HN# Ms# HW Hw 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 %D State your conclusion. Do not reject Ho. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Reject Ho. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Do not reject Ho. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. Reject Ho. 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.) Sx - Nx *N - *w Xs - Xw Which attendance means differ significantly? (Select all that apply.) There is a significant difference in mean attendance between the North division and the South division. There is a significant difference in mean attendance between the North division and the West division. There is a significant difference in mean attendance between the South division and the West division. There are no significant differences. II O O O O
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