A senior partner in a brokerage firm wishes to determine whether there are really any differences among the long-run performances of different categories of people hired as customersݢ�� representatives. The junior members of the firm are classified into four groups: professionals who have changed careers, recent business school graduates, former salespeople, and brokers hired from competing firms. A random sample of five individuals in each of these categories s selected, and a detailed score (a higher number indicates better performance) is obtained.

Customer Representative Backgrounds

Professional Business School Grads Salespeople Brokers

88 ,65 , 61 , 83

85 ,73 , 67 , 87

95 ,54 ,74 , 90

96 , 72 , 65 , 84

91 ,81 , 68 , 92

(a) Is there evidence of a significant difference in the average performance score for the various categories? (Use a= .05.)

b) Find the p-value in (a) and interpret its meaning.

(c) Suppose that a Post Hoc Test shows that there is a significant difference in the mean scores between all pairs of customer service representatives except Professionals vs. Brokers and not between Grads vs Salespeople. What would you tell the senior partner concerning the long-run performances of people hired as customers representatives?