Instructor: Charles Conrad Course: STATISTICS - 7 WEEK - FALL 2017 Student: keith holden Date: 10/9/17 Assignment: Chapter 10.1 Homework 6. 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 = 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 Justice Salary 65.0 31 403.0 1567.0 1132.0 272.0 254.0 111.0 151.0 43 90 56 47 60 26 27 34.0 19 What are the null and alternative hypotheses? A. H0 : = 0 H1 : > 0 B. H0 : = 0 H1 : 0 C. H0 : 0 H1 : = 0 D. H0 : = 0 H1 : < 0 Construct a scatterplot. Choose the correct graph below. A. B. Justice Salary 100 50 0 C. Justice Salary 100 50 0 800 1600 0 Court Income D. Justice Salary 100 50 0 800 1600 0 Court Income The linear correlation coefficient r is (Round to three decimal places as needed.) Justice Salary 100 50 0 800 1600 Court Income 0 0 800 1600 Court Income . 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 (1) than the significance level 0.05, there (2) sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of = 0.05. 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 does appear that justices might profit by issuing smaller fines. D. It appears that justices profit the same despite the amount of the fines. (1) greater less (2) is not is