A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample salespersons. Years of Annual Sales Salesperson Experience ($1000s) 1 1 80 2 3 82 3 96 4 95 93 6. 7 93 7 8 98 8. 10 106 11 121 10 13 125 The data on 24 - annual sales (81000s) for new customer ac counts and r pumber of vears of experience for a sample of 10 salespersons

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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
Annual Sales
Salesperson
Experience
($1000s)
1
1
80
3
82
3
4
96
4
5
95
5
93
6.
7
93
7
8
98
8
10
106
11
121
10
13
125
The data on y = annual sales ($1000s) for new customer accounts and x = number of years of experience for a sample of 10 salespersons
provided the estimated regression equation ŷ = 74.45 + 3.65x. For these data a = 6.7, ) (x; - x)² = 130.10, and s = 5.3015.
%3D
a. Develop the 95% confidence interval for the mean annual sales for all salespersons with twelve years of experience.
) (to 2 decimals)
b. The company is considering hiring Tom Smart, a salesperson with twelve years of experience. Develop a 95% prediction interval of annual sales
for Tom Smart.
) (to 2 decimals)
c. Discuss the differences in your answers to parts (a) and (b).
As expected, the prediction interval is much
- Select your answer - V than the confidence interval. This is due to the fact that it is more
- Select your answer -
to predict annual sales for one new salesperson with 12 years of experience than it is to estimate the mean annual sales
for all salespersons with 12 years of experience.
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 Annual Sales Salesperson Experience ($1000s) 1 1 80 3 82 3 4 96 4 5 95 5 93 6. 7 93 7 8 98 8 10 106 11 121 10 13 125 The data on y = annual sales ($1000s) for new customer accounts and x = number of years of experience for a sample of 10 salespersons provided the estimated regression equation ŷ = 74.45 + 3.65x. For these data a = 6.7, ) (x; - x)² = 130.10, and s = 5.3015. %3D a. Develop the 95% confidence interval for the mean annual sales for all salespersons with twelve years of experience. ) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with twelve years of experience. Develop a 95% prediction interval of annual sales for Tom Smart. ) (to 2 decimals) c. Discuss the differences in your answers to parts (a) and (b). As expected, the prediction interval is much - Select your answer - V than the confidence interval. This is due to the fact that it is more - Select your answer - to predict annual sales for one new salesperson with 12 years of experience than it is to estimate the mean annual sales for all salespersons with 12 years of experience.
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