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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?

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?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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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 64.0 402.0 1567.01130.0 274.0 252.0 111.0 154.0 34.0 Justice Salary 29 42 90 57 45 62 25 26 18 What are the null and alternative hypotheses? O A. Ho: p#0 H:p=0 О В. Но: р30 H,:p>0 OC. Ho: p=0 H4: p#0 O D. Ho: p=0 H1:p<0 Construct a scatterplot. Choose the correct graph below. O A. О в. OC. D. AJustice Salary 100- A Justice Salary 100- A Justice Salary 100- AJustice Salary 100- 50- 50- 50- 50- 0- 800 1600 800 1600 0. 800 1600 0. 800 1600 Court Income Court Income Court Income Court Income -The linear correlation coefficient is r = (Round to three decimal places as needed.) 21
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 64.0 402.0 1567.01130.0 274.0 252.0 111.0 154.0 34.0 Justice Salary 29 42 90 57 45 62 25 26 18 What are the null and alternative hypotheses? O A. Ho: p#0 H:p=0 О В. Но: р30 H,:p>0 OC. Ho: p=0 H4: p#0 O D. Ho: p=0 H1:p<0 Construct a scatterplot. Choose the correct graph below. O A. О в. OC. D. AJustice Salary 100- A Justice Salary 100- A Justice Salary 100- AJustice Salary 100- 50- 50- 50- 50- 0- 800 1600 800 1600 0. 800 1600 0. 800 1600 Court Income Court Income Court Income Court Income -The linear correlation coefficient is r = (Round to three decimal places as needed.) 21
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 correlaf 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 64.0 402.0 1567.01130.0 274.0 252.0 111.0 154.0 34.0 Justice Salary 29 42 90 57 45 62 25 26 18 Court Income Court Income Court Income Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t= (Round to three decimal places as needed.) The P-value is . (Round to three decimal places as needed.) sufficient evidence to support the claim that there is a linear correlation between court incomes ar Because the P-value is V than the significance level 0.05, there 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? O A. It does appear that justices might profit by levying larger fines. O B. It appears that justices profit the same despite the amount of the fines. O C. It does appear that justices might profit by issuing smaller fines. O D. It does not appear that justices might profit by levying larger fines.
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 correlaf 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 64.0 402.0 1567.01130.0 274.0 252.0 111.0 154.0 34.0 Justice Salary 29 42 90 57 45 62 25 26 18 Court Income Court Income Court Income Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t= (Round to three decimal places as needed.) The P-value is . (Round to three decimal places as needed.) sufficient evidence to support the claim that there is a linear correlation between court incomes ar Because the P-value is V than the significance level 0.05, there 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? O A. It does appear that justices might profit by levying larger fines. O B. It appears that justices profit the same despite the amount of the fines. O C. It does appear that justices might profit by issuing smaller fines. O D. It does not appear that justices might profit by levying larger fines.
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