The data on y = annual sales ($1000s) for new customer accounts and 2 = number of years of ex regression equation y = 68.53 + 3.31z. For these data 7 = 8.3, (. 7) = 206.10, and s = %3! a. Develop the 95% confidence interval for the mean annual sales ($1000s) for all salespersons wit ) (to 2 decimals) D. The company is considering hiring Tom Smart, a salesperson with eleven years of experience. De Smart. ) (to 2 decimals) c. Discuss the differences in your answers to parts (a) and (b). As expected, the prediction interval is much (narrow than the confidence interval.

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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
76
3
82
4
83
8
97
93
10
96
8
12
113
14
121
10
16
119
The data on y= annual sales ($1000s) for new customer accounts and 2 = number of years of experience for a sample of 10 salespersons provided the estimated
regression equation ŷ = 68.53+3.31r. For these data 7 = 8.3, (c.
I = 206.10, and s = 5.2107.
%3D
a. Develop the 95% confidence interval for the mean annual sales ($1000s) for all salespersons with eleven years of experience.
(2$
) (to 2 decimals)
b. The company is considering hiring Tom Smart, a salesperson with eleven years of experience. Develop a 95% prediction interval of annual sales ($1000s) for Tom
yegrs
Smart.
($
24
) (to 2 decimals)
c. Discuss the differences in your answers to parts (a) and (b).
As expected, the prediction interval is much (narrow
predict annual sales for one new salesperson with 11 years of experience than it is to estimate the mean annual sales for all salespersons with 11 years of experience.
than the confidence interval. This is due to the fact that it is more easy
v to
5.
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 76 3 82 4 83 8 97 93 10 96 8 12 113 14 121 10 16 119 The data on y= annual sales ($1000s) for new customer accounts and 2 = number of years of experience for a sample of 10 salespersons provided the estimated regression equation ŷ = 68.53+3.31r. For these data 7 = 8.3, (c. I = 206.10, and s = 5.2107. %3D a. Develop the 95% confidence interval for the mean annual sales ($1000s) for all salespersons with eleven years of experience. (2$ ) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with eleven years of experience. Develop a 95% prediction interval of annual sales ($1000s) for Tom yegrs Smart. ($ 24 ) (to 2 decimals) c. Discuss the differences in your answers to parts (a) and (b). As expected, the prediction interval is much (narrow predict annual sales for one new salesperson with 11 years of experience than it is to estimate the mean annual sales for all salespersons with 11 years of experience. than the confidence interval. This is due to the fact that it is more easy v to 5.
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