Question

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 α=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	66.0	405.0	1568.0	1130.0	272.0	251.0	110.0	154.0	31.0
Justice Salary	29	44	93	55	44	62	25	26	18

1. What are the null and alternative​ hypotheses?

H0: p ____ 0

H1: p ____ 0

2. The linear correlation coefficient r is ___________​(Round to three decimal places as​ needed.)

3. The​ P-value is __________​(Round to three decimal places as​ needed.)

4. Because the​ P-value is less, greater than the significance level 0.05​, there is, is not sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of alpha=0.05.

5. Based on the​ results, does it appear that justices might profit by levying larger​ fines?

A. It does not appear that justices might profit by levying larger fines.

B. It does appear that justices might profit by levying larger fines.

C. It appears that justices profit the same despite the amount of the fines.

D. It does appear that justices might profit by issuing smaller fines.

Answer 1