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 Experience Annual Sales ($1000s) 80 85 96 Salesperson 1 2 3 4 3) (to 2 decimals) c. Discuss the differences in your answers to parts (a) and (b). 5 6 7 8 1 2 3 5 6 8 8 112 119 127 134 10 134 10 153 10 10 164 The data on y = annual sales ($1000s) for new customer accounts and = number of years of experience for a sample of 10 salespersons provided the estimated regression equation = 71.43 +7.77%. For these data = 6.3, (-)²=106.10, and s= 8.0512. a. Develop the 90% confidence interval for the mean annual sales for all salespersons with four years of experience. 4.60 8.0) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with four years of experience. Develop a 90% prediction interval of annual sales for Tom Smart. As expected, the prediction interval is much wider than the confidence interval. This is due to the fact that it is more difficult annual sales for one new salesperson with 4 years of experience than it is to estimate the mean annual sales for all salespersons with 4 years of experience. to prec

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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
Experience
Annual Sales
($1000s)
80
85
Salesperson
1
2
3
4
) (to 2 decimals)
c. Discuss the differences in your answers to parts (a) and (b).
5
6
7
8
9
1
2
3
5
6
8
8
10
96
112
119
127
134
134
153
10
10
10
164
The data on y = annual sales ($1000s) for new customer accounts and = number of years of experience for a sample of 10 salespersons provided the estimated regression
equation = 71.43 +7.77%. For these data = = 6.3, Σ( - )² = 106.10, and s = 8.0512.
a. Develop the 90% confidence interval for the mean annual sales for all salespersons with four years of experience.
4.60
8.0 ) (to 2 decimals)
b. The company is considering hiring Tom Smart, a salesperson with four years of experience. Develop a 90% prediction interval of annual sales for Tom Smart.
As expected, the prediction interval is much wider
than the confidence interval. This is due to the fact that it is more difficult
annual sales for one new salesperson with 4 years of experience than it is to estimate the mean annual sales for all salespersons with 4 years of experience.
to predict
Transcribed Image Text: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 Experience Annual Sales ($1000s) 80 85 Salesperson 1 2 3 4 ) (to 2 decimals) c. Discuss the differences in your answers to parts (a) and (b). 5 6 7 8 9 1 2 3 5 6 8 8 10 96 112 119 127 134 134 153 10 10 10 164 The data on y = annual sales ($1000s) for new customer accounts and = number of years of experience for a sample of 10 salespersons provided the estimated regression equation = 71.43 +7.77%. For these data = = 6.3, Σ( - )² = 106.10, and s = 8.0512. a. Develop the 90% confidence interval for the mean annual sales for all salespersons with four years of experience. 4.60 8.0 ) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with four years of experience. Develop a 90% prediction interval of annual sales for Tom Smart. As expected, the prediction interval is much wider than the confidence interval. This is due to the fact that it is more difficult annual sales for one new salesperson with 4 years of experience than it is to estimate the mean annual sales for all salespersons with 4 years of experience. to predict
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