Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 64.0 403.0 1567.01130.0 274.0 253.0 112.0 156.0 31.0 Justice Salary 30 44 90 58 46 62 25 26 19 Ο Α. Ho:ρ =0. В. Но: р30 H4:p<0 H4:p>0 С. Но: р#0 D. Ho: p=0 H1:p=0 H4:p#0 Construct a scatterplot. Choose the correct graph below. OA. B. OC. O D. AJustice Salary 100- A Justice Salary 100- AJustice Salary 100- A Justice Salary 100- 50어 50- 504 50- 0- 0- 800 1600 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? A. It does appear that justices might profit by issuing smaller fines. B. It does not appear that justices might profit by levying larger fines. C. It does appear that justices might profit by levying larger fines. D. It appears that justices profit the same despite the amount of the fines.

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Author:Amos Gilat
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Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there
sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?
Court Income
64.0 403.0 1567.01130.0 274.0 253.0 112.0 156.0 31.0
Justice Salary
30
44
90
58
46
62
25
26
19
Ο Α. Ho:ρ =0.
В. Но: р30
H4:p<0
H4:p>0
С. Но: р#0
D. Ho: p=0
H1:p=0
H4:p#0
Construct a scatterplot. Choose the correct graph below.
OA.
B.
OC.
O D.
AJustice Salary
100-
A Justice Salary
100-
AJustice Salary
100-
A Justice Salary
100-
50어
50-
504
50-
0-
0-
800
1600
800
1600
800
1600
800
1600
Court Income
Court Income
Court Income
Court Income
The linear correlation coefficient r is
(Round to three decimal places as needed.)
The test statistic t is
(Round to three decimal places as needed.)
The P-value is.
(Round to three decimal places as needed.)
Transcribed Image Text:Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 64.0 403.0 1567.01130.0 274.0 253.0 112.0 156.0 31.0 Justice Salary 30 44 90 58 46 62 25 26 19 Ο Α. Ho:ρ =0. В. Но: р30 H4:p<0 H4:p>0 С. Но: р#0 D. Ho: p=0 H1:p=0 H4:p#0 Construct a scatterplot. Choose the correct graph below. OA. B. OC. O D. AJustice Salary 100- A Justice Salary 100- AJustice Salary 100- A Justice Salary 100- 50어 50- 504 50- 0- 0- 800 1600 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistic t is (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.)
Because the P-value is
than the significance level 0.05, there
sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05.
Based on the results, does it appear that justices might profit by levying larger fines?
A. It does appear that justices might profit by issuing smaller fines.
B. It does not appear that justices might profit by levying larger fines.
C. It does appear that justices might profit by levying larger fines.
D. It appears that justices profit the same despite the amount of the fines.
Transcribed Image Text:Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of a = 0.05. Based on the results, does it appear that justices might profit by levying larger fines? A. It does appear that justices might profit by issuing smaller fines. B. It does not appear that justices might profit by levying larger fines. C. It does appear that justices might profit by levying larger fines. D. It appears that justices profit the same despite the amount of the fines.
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