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

alpha

equals0.05

.
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

402.0

1568.0

1131.0

273.0

252.0

112.0

150.0

30.0

Justice Salary

31

42

92

57

46

62

25

26

19

What are the null and alternative hypotheses?

A.

Upper H 0

:

rho

equals

0

Upper H 1

:

rho

not equals

0

B.

Upper H 0

:

rho

not equals

0

Upper H 1

:

rho

equals

0

C.

Upper H 0

:

rho

equals

0

Upper H 1

:

rho

less than

0

D.

Upper H 0

:

rho

equals

0

Upper H 1

:

rho

greater than

0

Construct a scatterplot. Choose the correct graph below.

A.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points loosely follow the pattern of a line falling from left to right passing through the points (264, 84) and (1473, 17). An outlier is plotted at (421, 24)..

B.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine plotted points follow the pattern of a line that falls from left to right passing through the points (216, 84) and (1413, 43).

C.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Seven of the points loosely follow the pattern of a line passing through the points (147, 35) and (1276, 89). The plotted points (137, 13) and (1315, 14) are outliers.

D.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points follow the pattern of a line rising from left to right passing through the points (30.0, 19) and (1568.0, 92). An outlier is plotted at (252.0, 62).

The linear correlation coefficient is
requals

enter your response here

.

(Round to three decimal places as needed.)

The test statistic is
tequals

enter your response here

.

(Round to three decimal places as needed.)

The P-value is
enter your response here

.

(Round to three decimal places as needed.)

Because the P-value is

▼

less

greater

than the significance level
0.05

,

there

▼

is

is not

sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of

alpha

equals0.05

.

Based on the results, does it appear that justices might profit by levying larger fines?

A.

It appears that justices profit the same despite the amount of the fines.

B.

It does appear that justices might profit by issuing smaller fines.

C.

It does not appear that justices might profit by levying larger fines.

D.

It does appear that justices might profit by levying larger fines.

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

alpha

equals0.05

.

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

402.0

1568.0

1131.0

273.0

252.0

112.0

150.0

30.0


Justice Salary	31

42

92

57

46

62

25

26

19

What are the null and alternative hypotheses?

A.

Upper H 0

:

rho

equals

0

Upper H 1

:

rho

not equals

0

B.

Upper H 0

:

rho

not equals

0

Upper H 1

:

rho

equals

0

C.

Upper H 0

:

rho

equals

0

Upper H 1

:

rho

less than

0

D.

Upper H 0

:

rho

equals

0

Upper H 1

:

rho

greater than

0

Construct a scatterplot. Choose the correct graph below.

A.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points loosely follow the pattern of a line falling from left to right passing through the points (264, 84) and (1473, 17). An outlier is plotted at (421, 24)..

B.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine plotted points follow the pattern of a line that falls from left to right passing through the points (216, 84) and (1413, 43).

C.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Seven of the points loosely follow the pattern of a line passing through the points (147, 35) and (1276, 89). The plotted points (137, 13) and (1315, 14) are outliers.

D.

08001600050100Court IncomeJustice Salary

A scatterplot has a horizontal scale labeled “Court Income” from 0 to 1600 in intervals of 200 and a vertical scale labeled “Justice Salary” from 0 to 100 in intervals of 10. Nine points are plotted. Eight of the plotted points follow the pattern of a line rising from left to right passing through the points (30.0, 19) and (1568.0, 92). An outlier is plotted at (252.0, 62).

The linear correlation coefficient is

requals

enter your response here

.

(Round to three decimal places as needed.)

The test statistic is

tequals

enter your response here

.

(Round to three decimal places as needed.)

The P-value is

enter your response here

.

(Round to three decimal places as needed.)

Because the P-value is

▼

less

greater

than the significance level

0.05

,

there

▼

is

is not

sufficient evidence to support the claim that there is a linear correlation between court incomes and justice salaries for a significance level of

alpha

equals0.05

.

Based on the results, does it appear that justices might profit by levying larger fines?

A.

It appears that justices profit the same despite the amount of the fines.

B.

It does appear that justices might profit by issuing smaller fines.

C.

It does not appear that justices might profit by levying larger fines.

D.

It does appear that justices might profit by levying larger fines.

Accepted Answer

Introduction:
It is understood from the question that the court income would be useful for…