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.

[3) Use a = 0.05 to test for any difference in the mean attendance for the three divisions. State the null and alternative hypotheses. '32} Ha: At least two of the population means are equal. Ha: At least two of the population means are different. H0: INN 2 .us 2 .\"w Ha: law at INS I \"W 'I._.I' HU: [MN I '\"5 at law. H'u a'- Hz\" 5 = \"w {3' H0: Not all the population means are equal. H'u =u a'-l-J -s=-\" \\l'f '32} H0: In\" 2 .us 2 #W Ha: 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.) State your conclusion. {3' Reject Hc' There is sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. '1} Do not reject Ho' There is not sufficient evidence to conclude that the mean attendance values are not equal for the three divisions. '1} Reject HQ. There is not sufcient evidence to conclude that the mean attendance values are not equal for the three divisions. [:3 Do not reject HG. 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 a = 0.05. Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.) North and South LSD = E North and West LSD = E South and West LSD = E Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.) IXN - x51 = S ix" XWS = : Which attendance means differ significantly? (Select all that apply.) l:l There is a significant difference in mean attendance between the North division and the South division. l:l There is a significant difference in mean attendance between the North division and the West division. El There is a significant difference in mean attendance between the South division and the West division. D There are no significant differences. Team Name Division W L PCT Attendance Buffalo Bisons North 66 77 0.462 8,817 Lehigh Valley IronPigs North 55 89 0.382 8,478 Pawtucket Red Sox North 85 58 0.594 9,097 Rochester Red Wings North 74 70 0.514 6,914 Scranton-Wilkes Barre Yankees North 88 56 0.611 7,141 Syracuse Chiefs North 69 73 0.486 5,765 Charlotte Knights South 63 78 0.447 4,528 Durham Bulls South 74 70 0.514 6,996 Norfolk Tides South 64 78 0.451 6,286 Richmond Braves South 63 78 0.447 4,457 Columbus Clippers West 69 73 0.486 7,794 Indianapolis Indians West 68 76 0.472 8,538 Louisville Bats West 88 56 0.611 9,152 Toledo Mud Hens West 75 69 0.521 8,232