The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms 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 are from populations with the same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? Click the icon to view the data. What are the hypotheses for this test? OA. Ho: H₁ H₁: H₁ OB. Ho: H₁ H₂=H3 H₂ #H3 H₂ #H3 H₁ H₁ H₂ H3 OC. Ho: At least one of the means is different from the others H₁ H₁ H₂=H3 D. Ho: H₁ H₂=H3 H₁: At least one of the means is different from the others Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Arsenic Amounts Arkansas California Texas 4.77 4.92 5.03 5.39 5.38 5.39 5.56 5.62 5.58 5.92 6.04 6.14 1.50 3.66 4.00 4.49 4.88 5.12 5.32 5.38 5.39 5.45 5.63 5.62 5.57 5.81 6.57 6.91 6.92 6.85 7.06 7.28 7.48 7.58 7.73 7.70 Print Done X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms 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 are from populations with the same mean. Do the amounts of arsenic appear
to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest
health problem?
Click the icon to view the data.
What are the hypotheses for this test?
OA. Ho: M₁ = μ₂ = μ3
H₁: H₁ H₂ μ3
B. Ho: ₁ μ₂ μ3
H₁: M₁ = H₂ = μ3
C. Ho: At least one of the means is different from the others
H₁: μ₁ = μ₂ = μ3
Ho: H₁ = μ₂ = 13
H₁: At least one of the means is different from the others
Determine the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Arsenic Amounts
Arkansas
California
Texas
4.77 4.92 5.03 5.39 5.38 5.39 5.56 5.62 5.58 5.92 6.04 6.14
1.50 3.66 4.00 4.49 4.88 5.12 5.32 5.38 5.39 5.45 5.63 5.62
5.57 5.81 6.57 6.91 6.92 6.85 7.06 7.28 7.48 7.58 7.73 7.70
Print
Done
X
Transcribed Image Text:The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms 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 are from populations with the same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? Click the icon to view the data. What are the hypotheses for this test? OA. Ho: M₁ = μ₂ = μ3 H₁: H₁ H₂ μ3 B. Ho: ₁ μ₂ μ3 H₁: M₁ = H₂ = μ3 C. Ho: At least one of the means is different from the others H₁: μ₁ = μ₂ = μ3 Ho: H₁ = μ₂ = 13 H₁: At least one of the means is different from the others Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Arsenic Amounts Arkansas California Texas 4.77 4.92 5.03 5.39 5.38 5.39 5.56 5.62 5.58 5.92 6.04 6.14 1.50 3.66 4.00 4.49 4.88 5.12 5.32 5.38 5.39 5.45 5.63 5.62 5.57 5.81 6.57 6.91 6.92 6.85 7.06 7.28 7.48 7.58 7.73 7.70 Print Done X
Determine the P-value.
The P-value is
(Round to three decimal places as needed.)
Do the amounts of arsenic appear to be different in the different states?
There
sufficient evidence at a 0.05 significance level to warrant rejection of the claim that the three different states have
mean arsenic content(s) in brown rice.
Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem?
OA. The results from ANOVA do not allow us to conclude that any one specific population mean is different from the others, so we cannot conclude that brown rice from Texas poses the greatest health problem.
OB. The results from ANOVA allow us to conclude that Texas has the highest population mean, so we can conclude that brown rice from Texas poses the greatest health problem.
OC. Although the amounts of arsenic in the samples from Texas have the highest mean, there may be other states that have a higher mean, so we cannot conclude that brown rice from Texas poses the greatest health problem.
OD. Because the amounts of arsenic in the samples from Texas have the highest mean, we can conclude that brown rice from Texas poses the greatest health problem.
Transcribed Image Text:Determine the P-value. The P-value is (Round to three decimal places as needed.) Do the amounts of arsenic appear to be different in the different states? There sufficient evidence at a 0.05 significance level to warrant rejection of the claim that the three different states have mean arsenic content(s) in brown rice. Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? OA. The results from ANOVA do not allow us to conclude that any one specific population mean is different from the others, so we cannot conclude that brown rice from Texas poses the greatest health problem. OB. The results from ANOVA allow us to conclude that Texas has the highest population mean, so we can conclude that brown rice from Texas poses the greatest health problem. OC. Although the amounts of arsenic in the samples from Texas have the highest mean, there may be other states that have a higher mean, so we cannot conclude that brown rice from Texas poses the greatest health problem. OD. Because the amounts of arsenic in the samples from Texas have the highest mean, we can conclude that brown rice from Texas poses the greatest health problem.
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