Question

In: Statistics and Probability

The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions:...

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 8,471
Pawtucket Red Sox North 85 58 0.594 9,098
Rochester Red Wings North 74 70 0.514 6,914
Scranton-Wilkes Barre Yankees North 88 56 0.611 7,147
Syracuse Chiefs North 69 73 0.486 5,767
Charlotte Knights South 63 78 0.447 4,529
Durham Bulls South 74 70 0.514 6,994
Norfolk Tides South 64 78 0.451 6,283
Richmond Braves South 63 78 0.447 4,453
Columbus Clippers West 69 73 0.486 7,791
Indianapolis Indians West 68 76 0.472 8,531
Louisville Bats West 88 56 0.611 9,152
Toledo Mud Hens West 75 69 0.521 8,238

(a)

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 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.)

xNxS=

xNxW=

xSxW=


Solutions

Expert Solution

Applying one way ANOVA:

a) value of the test statistic =6.97

p value =0.011

b)

Fisher's (LSD) for group i and j =(tN-k)*(sp*√(1/ni+1/nj)   =

North and South LSD = 1619.42

North and West LSD = 1619.42

South and West LSD = 2863.25

xN-xS 2136.92~ 2137
xN-xW 726.33~ 726
xS-xW 2863.25 ~2863

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