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 the final answers to 2 decimal places.) Number of Contacts, X 43 49 44 24 34 Sales Number of ($thousands), Contacts, 3 $75 108 74 31 32 X 33888 13 13 36 18 18 Sales ($ thousands), $24 25 150 20 a. Determine the 95% confidence interval, in thousands of dollars, for the mean of all sales personnel who make 54 contacts. b. Determine the 95% prediction interval, in thousands of dollars, for a particular salesperson who makes 54 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 the final answers to 2 decimal
places.)
Number of
Contacts,
X
43
49
44
24
34
Sales
($thousands),
3
$75
108
74
31
32
Number of
Contacts,
2
13
13
36
18
18
Sales
($ thousands),
$24
25
50
31
20
a. Determine the 95% confidence interval, in thousands of dollars, for the mean
of all sales personnel who make 54 contacts.
b. Determine the 95% prediction interval, in thousands of dollars, for a
particular salesperson who makes 54 contacts.
Transcribed Image Text:Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The x column indicates the number of client contacts last month, and the y column shows the value of sales ($ thousands) last month for each client sampled. (Round the final answers to 2 decimal places.) Number of Contacts, X 43 49 44 24 34 Sales ($thousands), 3 $75 108 74 31 32 Number of Contacts, 2 13 13 36 18 18 Sales ($ thousands), $24 25 50 31 20 a. Determine the 95% confidence interval, in thousands of dollars, for the mean of all sales personnel who make 54 contacts. b. Determine the 95% prediction interval, in thousands of dollars, for a particular salesperson who makes 54 contacts.
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