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	8,813
Lehigh Valley IronPigs	North	55	89	0.382	8,472
Pawtucket Red Sox	North	85	58	0.594	9,099
Rochester Red Wings	North	74	70	0.514	6,915
Scranton-Wilkes Barre Yankees	North	88	56	0.611	7,143
Syracuse Chiefs	North	69	73	0.486	5,768
Charlotte Knights	South	63	78	0.447	4,522
Durham Bulls	South	74	70	0.514	6,998
Norfolk Tides	South	64	78	0.451	6,288
Richmond Braves	South	63	78	0.447	4,454
Columbus Clippers	West	69	73	0.486	7,793
Indianapolis Indians	West	68	76	0.472	8,534
Louisville Bats	West	88	56	0.611	9,154
Toledo Mud Hens	West	75	69	0.521	8,238

(a)

Use α = 0.05 to test for any difference in the mean attendance for the three divisions.

State the null and alternative hypotheses.

H₀: Not all the population means are equal.
H_a: μ_N = μ_S = μ_W

H₀: μ_N = μ_S = μ_W
H_a: Not all the population means are equal.    

H₀: μ_N ≠ μ_S ≠ μ_W
H_a: μ_N = μ_S = μ_W

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

H₀: μ_N = μ_S = μ_W
H_a: μ_N ≠ μ_S ≠ μ_W

Find the value of the test statistic. (Round your answer to two decimal places.)

t stat =

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.

Do not reject H₀. There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.    

Reject H₀. There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions.

Reject H₀. There is 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 α = 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.)

x_N − x_S =

x_N − x_{W =}

x_S − x_{W =}

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.

Answer 1