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 alphaequals0.05. 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: 65.0, 402.0, 1567.0, 1132.0, 273.0, 251.0, 112.0, 156.0, 34.0

Justice Salary: 31, 46, 91, 56, 47, 60, 26, 27, 18

a. What are the null and alternative hypotheses?

b. Construct a scatterplot.

c. The linear correlation coefficient r is: _.

d. The P value is: _.

The correlation Coefficient, R value as obtained using a correlation Coefficient calculator is 0.8642. This depicts that a strong positive relationship exists between court income and Justice salary.

The Pvalue using the Pvalue calculator (R = 0.8642, N = 9) = 0.002654

The Pvalue < α

0.002654< 0.05 ; Hence, we reject H0.

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