Assignment 2 Part A - ANOVA 1.

A manager at the head office of a company is considering 3 branch office managers for promotion. Branch reports include records of sales volume per agent for each branch. A random sample of records was selected for agents at each branch. All branches are located in cities with similar demographics (per capita income, population etc.) Using the samples, the manager wants to see if there is a significant difference in performance of agents at the three branches. If there is a difference, the information will be used to help determine which branch manager to promote; otherwise it will not be included in the decision. (All values are in hundreds of thousands of dollars.) (15 points)

Branch Managed by Harrison Branch Managed by Dale Branch Managed by Stevenson

7.2 8.8 6.9

6.4 10.7 8.7

10.1 11.1 10.5

11 9.8 11.4

9.9

10.6

For the single measurement problem, use an a = 0.01 level of significance. Conduct an appropriate hypothesis test and conclude whether to reject or not reject the claim that there is no difference among the agents at the different branches.