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 alphaαequals=0.050.05. 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 65.0 404.0 1566.0 1132.0 271.0 250.0 112.0 152.0 33.0 Justice Salary 29 43 93 58 44 60 25 26 18 What are the null and alternative hypotheses?

          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
alphaαequals=0.050.05.
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
404.0
1566.0
1132.0
271.0
250.0
112.0
152.0
33.0
Justice Salary
29
43
93
58
44
60
25
26
18
What are the null and alternative hypotheses?

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Added by Alba G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Hamzah Choudary

09/16/2023

Step 1

To do this, we can use the formula: r = \frac{n(\sum xy) - (\sum x)(\sum y)}{\sqrt{[n(\sum x^2) - (\sum x)^2][n(\sum y^2) - (\sum y)^2]}} where x represents court income, y represents justice salary, and n is the number of data points. We have the following Show more…

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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 alphaαequals=0.050.05. 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 65.0 404.0 1566.0 1132.0 271.0 250.0 112.0 152.0 33.0 Justice Salary 29 43 93 58 44 60 25 26 18 What are the null and alternative hypotheses?

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