(Solved): A sales manager collected the following data on annual sales for new customer accounts and the numbe ...

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. \( \sum\left(x_{i}-\bar{x}\right)^{2}=72.50 \), and \( s=9.3160 \). a. Develop the \( 95 \% \) confidence interval for the mean annual sales for all salespersons with seven years of experience. 1 , ) (to 2 decimals) b. The company is considering hiring Tom Smart, a salesperson with seven 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 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 7 years of experience than it is to estimate the mean annual sales for all salespersons with 7 years of experience.