The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in

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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.