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Listed below are amounts of court income and salaries paid to the town justices.

ID: 3240214 • Letter: L

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

alphaequals=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

404.0

1566.0

1132.0

274.0

253.0

111.0

155.0

31.0

Justice Salary

3030

43

92

54

44

62

24

25

19

What are the null and alternative hypotheses?

A.

Upper H0:

rhonot equals0

Upper H1:

rhoequals=0

B.

Upper H0:

rhoequals=0

Upper H1:

rholess than<0

C.

Upper H0:

rhoequals=0

Upper H1:

rhonot equals0

D.

Upper H0:

rhoequals=0

Upper H1:

rhogreater than>0

Court Income

66.0

404.0

1566.0

1132.0

274.0

253.0

111.0

155.0

31.0

Justice Salary

3030

43

92

54

44

62

24

25

19

Explanation / Answer

Solution :-

option C.

Upper H0: rhoequals=0

Upper H1: rhonot equals0

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