Question

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using

alphaαequals=0.050.05.

Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?

Lemon Imports |
228 |
264 |
359 |
480 |
533 |
||
---|---|---|---|---|---|---|---|

Crash Fatality Rate |
15.81 |
15.71 |
15.51 |
15.31 |
14.9 |

What are the null and alternative hypotheses?

The test statistic t is

The P-value is

Because the P-value is (less or greater) than the significance level 0.05, there (is or is not) sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05

Do the results suggest that imported lemons cause car fatalities? (options listed below)

A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.

B. The results suggest that an increase in imported lemons causes in an increase in car fatality rates

C. The results suggest that imported lemons cause car fatalities.

D. The results do not suggest any cause-effect relationship between the two variables.

Answer #1

The test statistic t is -6.156.

The P-value is 0.009.

Because the P-value is (less) than the significance level 0.05, there (is) sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05

D. The results do not suggest any cause-effect relationship between the two variables.

7. Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using alphaequals0.05. Is there sufficient evidence to
conclude that there is a linear correlation between lemon imports
and crash fatality rates? Do the results suggest that imported
lemons cause car fatalities?
Lemon_Imports_(x)
Crash_Fatality_Rate_(y)
231 15.9
264 15.7
358 ...

Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using α=0.05 Is there sufficient evidence to conclude that
there is a linear correlation between lemon imports and crash
fatality rates? Do the results suggest that imported lemons cause
car fatalities?
Lemon Imports
228
266
357
483
534
Crash...

Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using alpha = 0.05. Is there sufficient evidence to
conclude that there is a linear correlation between lemon imports
and crash fatality rates? Do the results suggest that imported
lemons cause car fatalities?
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230
15.8
266 ...

a)Listed below are annual data for various years. The data are
weights (metric tons) of lemons imported from Mexico and U.S. car
crash fatality rates per 100,000 population.
Lemon imports
230
265
358
480
530
Crash fatality rate
15.9
15.7
15.4
15.3
14.9
Draw a scatterplot of these two variables and comment on the
following:
There appears to be
[ Select ]
["a
strong positive",...

resulting crash fatality rates. At a 0.05 level of significance
determine if there is sufficient evidence to support the claim
there is not a linear relationship between the weight of cars and
crash fatality rates? Given these results, what is the best
predictor of Y when X = 4000 lb?
X
Weight of Imports lbs
2300
2650
3580
4800
5300
Y
Car Crash Fatality
Average
15.9
15.7
16.8
17.2
19.1
What is the Null and Alternative hypothesis?
What is the...

Listed below are the budgets (in millions of dollars) and the
gross receipts (in millions of dollars) for randomly selected
movies. Construct a scatterplot, find the value of the linear
correlation coefficient r, and find the P-value using
alphaαequals=0.050.05.
Is there sufficient evidence to conclude that there is a linear
correlation between budgets and gross receipts? Do the results
change if the actual budgets listed are
$65 comma 000 comma 00065,000,000,
$86 comma 000 comma 00086,000,000,
$53 comma 000 comma...

Listed below are the budgets (in millions of dollars) and the
gross receipts (in millions of dollars) for randomly selected
movies. Construct a scatterplot, find the value of the linear
correlation coefficient r, and find the P-value using
alphaαequals=0.05 Is there sufficient evidence to conclude that
there is a linear correlation between budgets and gross receipts?
Do the results change if the actual budgets listed are $64,000,
$85,000 $47,000 and so on?
Budget (x)
64
85
47
36
194
100...

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 Justice_Salary
65.0 30
402.0 43
1568.0 ...

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 alphaα=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
65.0
406.0
1567.0
1132.0
272.0
253.0...

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 64.0 402.0 1568.0 1130.0...

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