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 thenumber of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won.Team NameDivisionwLPCTAttendanceBuffalo BisonsNorth66770.4628,811Lehigh Valley IronPigsNorth55890.3828,473Pawtucket Red SoxNorth85580.5949,098Rochester Red WingsNorth74700.5146,911Scranton-Wilkes Barre YankeesNorth88560.6117,145Syracuse ChiefsNorth69730.4865,764Charlotte KnightsSouth63780.4474,522Durham BullsSouth74 700.5146,997Norfolk TidesSouth64780.4516,288Richmond BravesSouth63780.4474,456Columbus ClippersWest69730.4867,796Indianapolis IndiansWest68760.4728,537Louisville BatsWest88 560.6119,157Toledo Mud HensWest75690.5218,237(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: HN = Hs = HwHi MN * Hs # HwO Ho: Not all the population means are equal.Hai HN = Hs = HwO Ho: HN * Hs * HwHa: HN = Hs = HwO Hn: At least two of the population means are equal.H.: At least two of the population means are different.O Ho: HN = Hs = HwH: Not all the population means are equal. PNH: Not all the population means are equal.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 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 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.O Do not 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 SouthLSD =North and WestLSD =South and WestLSD =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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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 66 77 0.462 8,811 North Lehigh Valley IronPigs 55 89 0.382 North 8,473 85 58 0.594 Pawtucket Red Sox North 9,098 Rochester Red Wings 74 70 0.514 North 6,911 Scranton-Wilkes Barre Yankees North 88 56 0.611 7,145 Syracuse Chiefs North 69 73 0.486 5,764 Charlotte Knights South 63 78 0.447 4,522 Durham Bulls 74 70 0.514 South 6,997 Norfolk Tides South 64 78 0.451 6,288 Richmond Braves South 63 78| 0.447 4,456 Columbus Clippers West 69 73 0.486 7,796 Indianapolis Indians 68 76 0.472 8,537 West Louisville Bats West 88 56 0.611 9,157 Toledo Mud Hens West 75 69 0.521 8,237 ndance for he i

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 66 77 0.462 8,811 North Lehigh Valley IronPigs 55 89 0.382 North 8,473 85 58 0.594 Pawtucket Red Sox North 9,098 Rochester Red Wings 74 70 0.514 North 6,911 Scranton-Wilkes Barre Yankees North 88 56 0.611 7,145 Syracuse Chiefs North 69 73 0.486 5,764 Charlotte Knights South 63 78 0.447 4,522 Durham Bulls 74 70 0.514 South 6,997 Norfolk Tides South 64 78 0.451 6,288 Richmond Braves South 63 78| 0.447 4,456 Columbus Clippers West 69 73 0.486 7,796 Indianapolis Indians 68 76 0.472 8,537 West Louisville Bats West 88 56 0.611 9,157 Toledo Mud Hens West 75 69 0.521 8,237 ndance for he i

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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
8,811
Lehigh Valley IronPigs
North
55
89
0.382
8,473
Pawtucket Red Sox
North
85
58
0.594
9,098
Rochester Red Wings
North
74
70
0.514
6,911
Scranton-Wilkes Barre Yankees
North
88
56
0.611
7,145
Syracuse Chiefs
North
69
73
0.486
5,764
Charlotte Knights
South
63
78
0.447
4,522
Durham Bulls
South
74 70
0.514
6,997
Norfolk Tides
South
64
78
0.451
6,288
Richmond Braves
South
63
78
0.447
4,456
Columbus Clippers
West
69
73
0.486
7,796
Indianapolis Indians
West
68
76
0.472
8,537
Louisville Bats
West
88 56
0.611
9,157
Toledo Mud Hens
West
75
69
0.521
8,237
(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: HN = Hs = Hw
Hi MN * Hs # Hw
O Ho: Not all the population means are equal.
Hai HN = Hs = Hw
O Ho: HN * Hs * Hw
Ha: HN = Hs = Hw
O Hn: 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: Not all the population means are equal.

PN
H: Not all the population means are equal.
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 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 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.
O Do not 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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