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Please help with the questions below. An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for

Please help with the questions below.

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An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Branch Branch Managed Managed Managed by by by Adams McDale Vasquez 7.4 8.6 6.9 6.6 10.9 8.3 10.3 11.3 10.5 11.2 9.6 11.8 9.7 10.2 Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different branches? -01 (a) What is the level of significance? State the null and alternate hypotheses. . Ho: M1 = #2 = #3; Hy: Not all the means are equal. . Ho: M1 = #2 = #3; My: All three means are different. . Ho: M1 = #2 = #3; Hy: At least two means are equal. . Ho: H1 = #2 = Ng; Hy: Exactly two means are equal. (b) Find SSTOT, SSBET, and SSw and check that SSTor = SSBET + SSw- (Round your answers to three decimal places.) SSTOT= SS BET= SSW= Find d.f.BET. d.f.W. MSBET, and MSw- (Round your answers to three decimal places.) d.f. BET= d.f.w= MS BET MSW= Find the value of the sample F statistic. (Round your answers to three decimal places.) What are the degrees of freedom? (numerator) (denominator) (c) Find the P-value of the sample test statistic. . P-value > 0.100 0.050 0.100 Do not reject HO. $ Within groups Total

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