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	8,817
Lehigh Valley IronPigs	North	55	89	0.382	8,475
Pawtucket Red Sox	North	85	58	0.594	9,092
Rochester Red Wings	North	74	70	0.514	6,914
Scranton-Wilkes Barre Yankees	North	88	56	0.611	7,142
Syracuse Chiefs	North	69	73	0.486	5,762
Charlotte Knights	South	63	78	0.447	4,523
Durham Bulls	South	74	70	0.514	6,992
Norfolk Tides	South	64	78	0.451	6,287
Richmond Braves	South	63	78	0.447	4,458
Columbus Clippers	West	69	73	0.486	7,796
Indianapolis Indians	West	68	76	0.472	8,534
Louisville Bats	West	88	56	0.611	9,158
Toledo Mud Hens	West	75	69	0.521	8,236

(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: μ_N = μ_S = μ_W
H_a: 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.

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

Do not reject H₀. 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 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

(a)

One-way ANOVA: Attendance versus Division

Source DF SS   MS F P
Division 2 18119131 9059565 6.96 0.011
Error 11 14320195 1301836
Total 13 32439326

The value of the test statistic=6.96

p-value =0.011

Since p-value<0.05 so

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

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 South division and the West division.