Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The x column indicates the number of client contacts last month and the y column shows the value of sales ($ thousands) last month for each client sampled. (Round your answers to 3 decimal places.)   Number of Contacts, x Sales ($ thousands), y Number of Contacts, x Sales ($ thousands), y 14   24   23   30   12   14   48   90   20   28   50   85   16   30   55   120   46   80   50   110     a. Determine the 95% confidence interval, in thousands of dollars, for the mean of all sales personnel who make 40 contacts.   b. Determine the 95% prediction interval, in thousands of dollars, for a particular salesperson who makes 40 contacts

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Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The x column indicates the number of client contacts last month and the y column shows the value of sales ($ thousands) last month for each client sampled. (Round your answers to 3 decimal places.)
 

Number of
Contacts,
x
Sales
($ thousands),
y
Number of
Contacts,
x
Sales
($ thousands),
y
14   24   23   30  
12   14   48   90  
20   28   50   85  
16   30   55   120  
46   80   50   110  
 


a. Determine the 95% confidence interval, in thousands of dollars, for the mean of all sales personnel who make 40 contacts.

 



b. Determine the 95% prediction interval, in thousands of dollars, for a particular salesperson who makes 40 contacts.

 
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