00000 A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. Years of Annual Sales Salesperson Experience ($10005) 1 1 80 2 1 88 3 1 93 4 3 95 5 3 1 10 6 4 1 13 7 6 1 15 8 8 134 9 9 138 10 10 139 The data on y = annual sales ($10005) for new customer accounts and a: = number of years of experience for a sample of 10 salespersons provided the estimated regression equation 1) = 82.87 + 6.0132. For these data 5 = 4.6, 2: ($g if = 106.40, and s = 6.0508. a. Develop the 90% confidence interval for the mean annual sales ($10005) for all salespersons with five years of experience. ($ 101.25 0, $ 124.59 0) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with ve years of experience. Develop a 90% prediction interval of annual sales ($10003) for Tom Smart. ($ 104.31 0, $ 121.53 0) (to 2 decimals) c. Discuss the differences in your answers to parts (a) and (b). As expected, the prediction interval is much 9 than the condence interval. This is due to the fact that it is more 9 to predict annual sales for one new salesperson with 5 years of experience than it is to estimate the mean annual sales for all salespersons with 5 years of experience