A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for n sample of 10 salespersons. Years of Annual Sales Salesperson Experience ($1000s) 80 2. 82 3. 4. 89 91 7. 108 128 9. 128 10 124 12 144 10 14 158 The data on y annual sales ($1000s) for new customer accounts and z number of years of experience for a sample of 10 salespersons provided the estimated regression equation ý-67.91 + 6.29z. For these data - 7.2, (a-2)" - 161.60, and a 6.0862. a. Develop the 90% confidence interval for the mean annual sales ($1000s) for all salespersons with thirteen years of experience. ) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with thirteen years of experience. Develop a 90% prediction Interval of annual sales ($1000s) for Tom Smart. )(to 2 decimais) c. Discuss the differences in your answers to parts (a) and (b). to the fact that

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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)
80
82
3.
4.
89
91
108
128
128
10
124
6.
12
144
10
14
158
The data on y= annual sales ($1000s) for new customer accounts and z= number of years of experience for a sample of 10
salespersons provided the estimated regression equation ý =67.91 + 6.29z. For these data = 7.2, (-) = 161.60,
and a 6.0862.
a. Develop the 90% confidence interval for the mean annual sales ($1000s) for all salespersons with thirteen years of experience.
) (to 2 decimals)
b. The company is considering hiring Tom Smart, a saiesperson with thirteen years of experience. Develop a 90% prediction
interval of annual sales ($1000s) for Tom Smart.
(s
) (to 2 decimais)
c. Discuss the differences in your answers to parts (a) and (b).
lede tn the fact that it is
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) 80 82 3. 4. 89 91 108 128 128 10 124 6. 12 144 10 14 158 The data on y= annual sales ($1000s) for new customer accounts and z= number of years of experience for a sample of 10 salespersons provided the estimated regression equation ý =67.91 + 6.29z. For these data = 7.2, (-) = 161.60, and a 6.0862. a. Develop the 90% confidence interval for the mean annual sales ($1000s) for all salespersons with thirteen years of experience. ) (to 2 decimals) b. The company is considering hiring Tom Smart, a saiesperson with thirteen years of experience. Develop a 90% prediction interval of annual sales ($1000s) for Tom Smart. (s ) (to 2 decimais) c. Discuss the differences in your answers to parts (a) and (b). lede tn the fact that it is
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