Question: Perform each of the following steps:

a. State the hypotheses and identify the claim.

b. Find the critical value.

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

In the city of Chicago a fierce rivalry has existed between the city’s two baseball teams, the Chicago White Sox and the Chicago Cubs. Over the past twenty years, White Sox fans have claimed that their baseball team is the better of the two teams. At a = 0.05, is there enough evidence to support their claim?

Games Won (GW), 1986-2006

72 77 71 69 94 87 86 94 67 68 85 80

80 75 95 83 81 86 83 99 90

70 76 77 93 77 77 78 84 49 73 76 68

90 67 65 88 67 88 89 79 66

Game Percentage (GP), 1986-2006

.444 .475 .441 .429 .580 .537 .531 .580 .593 .472 .525 .497 .494 .466 .586 .512 .500 .531 .512 .611 .556

.438 .472 .475 .574 .475 .481 .481 .519 .434 .507 .469 .420 .552 .414 .401 .543 .414 .543 .549 .488 .407

Games Behind (GB), 1986-2006

20 8 32.5 29.5 9 8 10 0 0 32 14.5 6 9 21.5 0 8 13.5 4 9 0 6

37 18.5 24 0 18 20 18 13 16.5 12 12 16 12.5 30 30 5 30 0 16 21 17.5