A suvey of six accounting firms in the Capital Region Great

A suvey of six accounting firms in the Capital Region, Great Lakes, Mid-Atlantic, and Northeast Regions included the number of partners in the firm.

Number of Partners

Capital Region

Great Lakes

Mid-Atlantic

Northeast

25

46

111

17

11

90

162

24

20

86

15

25

20

62

89

23

36

113

121

18

15

39

59

22

A.

At the 0.05 level of significance, is there evidence of a difference among the firms with respect to the mean number of partners? Determine the hypothesis:

Find the Test Statistic

Fstat=

Determine the Critical Value:

Reach a decision: Reject/ Do not reject. There is insufficient/sufficient evidence of a difference in the mean number of partners in the accounting firms.

B.

If appropriate, determine which regions differ in mean number of partners

Use a table of critical values of the Studentized range to find Qa for a = 0.05.

Q 0.05=

Is there significant evidence that the Capital and Great Lakes Differ?

Is there significant evidence that the Capital and Mid Atlantic Differ?

Is there significant evidence that the Capital and North East Differ?

Is there significant evidence that the Great Lakes and Mid Atlantic Differ?

Is there significant evidence that the Great Lakes and the Northeast Differ?

Is there significant evidence that the Mid Atlantic and the Northeast differ?

Solution