Options for the last part: (Do not reject, reject) (Insufficient, Sufficient) A

Question

Options for the last part: (Do not reject, reject) (Insufficient, Sufficient)

A survey of six accounting firms in the Capital Region, Great Lakes, Mid-Atlantic, and Northeast regions included the number of partners in the firm. This information is included in the data table below Click on the icon to view the data table Click on the icon to view a partial table of critical values of the Studentized Range, Q At the 0.05 level of significance, is there evidence of a difference among the Capital, Great Lakes, Mid-Atlantic, and Northeast region accounting firms with respect to the mean number of partners? Determine the hypotheses. Choose the correct answer below H:Not all uj are equal (where j = 1,2, 6) Ha Not all are equal (where j = 1 ,2, 4) Find the test statistic. FSTA- (Type an integer or decimal rounded to two decimal places as needed.) Determine the critical value F,- Type an integer or decimal rounded to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

Hypotheses: Option A is correct.

FSTAT = 9.50

Critical value = 3.10

Reject; sufficient

Column n Mean Std. Dev. Std. Error Capital Region 6 20.833333 9.7039511 3.9616214 Great lakes 6 72.166667 27.301404 11.145752 Mid-Atlantic 6 93 50.600395 20.657525 Northeast 6 20.5 3.2710854 1.335415

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