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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a
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
than the significance level
▼
less
greater
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.
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