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	8,815
Lehigh Valley IronPigs	North	55	89	0.382	8,473
Pawtucket Red Sox	North	85	58	0.594	9,095
Rochester Red Wings	North	74	70	0.514	6,912
Scranton-Wilkes Barre Yankees	North	88	56	0.611	7,148
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	6,994
Norfolk Tides	South	64	78	0.451	6,285
Richmond Braves	South	63	78	0.447	4,458
Columbus Clippers	West	69	73	0.486	7,791
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	8,234

(a)

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

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 =

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 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.)

x_N − x_S=

x_N − x_W=

x_S − x_W=

Answer 1

The test statistic is F and the value of F-statistic = 0.08

P-value = 0.919

North and South LSD = 1206.01

North and West LSD = 1637.33

South and west LSD = 1216.06

xN - xS = 2137

xN - xW = 727

xS - xW = 2865