The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in
Posted: Sun Jul 10, 2022 10:12 am
The accompanying table gives amounts of arsenic in samples ofbrown rice from three different states. The amounts are inmicrograms of arsenic and all samples have the same serving size.The data are from the Food and Drug Administration. Use a
0.05
significance level to test the claim that the three samples arefrom populations with the same mean. Do the amounts of arsenicappear to be different in the different states? Given thatthe amounts of arsenic in the samples from Texas have thehighest mean, can we conclude that brown rice from Texasposes the greatest health problem?
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Part 1
What are the hypotheses for this test?
A.
H0:
At least one of the means is different from the others
H1:
μ1=μ2=μ3
B.
H0:
μ1≠μ2≠μ3
H1:
μ1=μ2=μ3
C.
H0:
μ1=μ2=μ3
H1:
At least one of the means is different from the others
D.
H0:
μ1=μ2=μ3
H1:
μ1≠μ2≠μ3
Part 2
Determine the test statistic.
The test statistic is
enter your response here.
(Round to two decimal places as needed.)
Part 3
Determine the P-value.
The P-value is
enter your response here.
(Round to three decimal places as needed.)
Part 4
Do the amounts of arsenic appear to be different in thedifferent states?
There
▼
is
is not
sufficient evidence at a
0.05
significance level to warrant rejection of the claim that thethree different states have
▼
different
the same
mean arsenic content(s) in brown rice.
Part 5
Given that the amounts of arsenic in the samples from Texas havethe highest mean, can we conclude that brown rice from Texasposes the greatest health problem?
A.
The results from ANOVA allow us to conclude that Texas has thehighest population mean, so we can conclude that brown ricefrom Texas poses the greatest health problem.
B.
The results from ANOVA do not allow us to conclude that any onespecific population mean is different from the others, so wecannot conclude that brown rice from Texas poses the greatesthealth problem.
C.
Although the amounts of arsenic in the samples from Texas havethe highest mean, there may be other states that have ahigher mean, so we cannot conclude that brown rice from Texasposes the greatest health problem.
D.
Because the amounts of arsenic in the samples from Texas havethe highest mean, we can conclude that brown rice from Texasposes the greatest health problem.
0.05
significance level to test the claim that the three samples arefrom populations with the same mean. Do the amounts of arsenicappear to be different in the different states? Given thatthe amounts of arsenic in the samples from Texas have thehighest mean, can we conclude that brown rice from Texasposes the greatest health problem?
LOADING...
Click the icon to view the data.
Question content area bottom
Part 1
What are the hypotheses for this test?
A.
H0:
At least one of the means is different from the others
H1:
μ1=μ2=μ3
B.
H0:
μ1≠μ2≠μ3
H1:
μ1=μ2=μ3
C.
H0:
μ1=μ2=μ3
H1:
At least one of the means is different from the others
D.
H0:
μ1=μ2=μ3
H1:
μ1≠μ2≠μ3
Part 2
Determine the test statistic.
The test statistic is
enter your response here.
(Round to two decimal places as needed.)
Part 3
Determine the P-value.
The P-value is
enter your response here.
(Round to three decimal places as needed.)
Part 4
Do the amounts of arsenic appear to be different in thedifferent states?
There
▼
is
is not
sufficient evidence at a
0.05
significance level to warrant rejection of the claim that thethree different states have
▼
different
the same
mean arsenic content(s) in brown rice.
Part 5
Given that the amounts of arsenic in the samples from Texas havethe highest mean, can we conclude that brown rice from Texasposes the greatest health problem?
A.
The results from ANOVA allow us to conclude that Texas has thehighest population mean, so we can conclude that brown ricefrom Texas poses the greatest health problem.
B.
The results from ANOVA do not allow us to conclude that any onespecific population mean is different from the others, so wecannot conclude that brown rice from Texas poses the greatesthealth problem.
C.
Although the amounts of arsenic in the samples from Texas havethe highest mean, there may be other states that have ahigher mean, so we cannot conclude that brown rice from Texasposes the greatest health problem.
D.
Because the amounts of arsenic in the samples from Texas havethe highest mean, we can conclude that brown rice from Texasposes the greatest health problem.