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? E Click the icon to view the data. What are the hypotheses for this test? Arsenic Amounts O A. Ho: At least one of the means is different from the others H,: H1 =H2 = H3 O B. Ho: H1 # H2# H3 Arkansas California Техas 4.81 4.87 4.99 5.42 5.36 5.42 5.58 5.595.57 5.85 5.97 6.11 O 1.48 3.74 4.04 4.46 4.92 5.08 5.26 5.38 5.43 5.48 5.63 5.58 5.64 5.81 6.58 6.88 6.91 6.86 7.10 7.277.45 7.58 7.65 7.68 H,: H1 =2 = H3 OC. Ho: H1 =H2 = H3 H,: At least one of the means is different from the others O D. Ho: H1 = H2 = H3 Print Done H: Hy # H2 # H3 Determine the test statistic. The test statistic is. (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to threo docimal nlacor ar noodod
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? E Click the icon to view the data. What are the hypotheses for this test? Arsenic Amounts O A. Ho: At least one of the means is different from the others H,: H1 =H2 = H3 O B. Ho: H1 # H2# H3 Arkansas California Техas 4.81 4.87 4.99 5.42 5.36 5.42 5.58 5.595.57 5.85 5.97 6.11 O 1.48 3.74 4.04 4.46 4.92 5.08 5.26 5.38 5.43 5.48 5.63 5.58 5.64 5.81 6.58 6.88 6.91 6.86 7.10 7.277.45 7.58 7.65 7.68 H,: H1 =2 = H3 OC. Ho: H1 =H2 = H3 H,: At least one of the means is different from the others O D. Ho: H1 = H2 = H3 Print Done H: Hy # H2 # H3 Determine the test statistic. The test statistic is. (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to threo docimal nlacor ar noodod
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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?
- X
A. Ho: At least one of the means is different from the others
Arsenic Amounts
H1: H1 = H2 = H3
B. Ho: H1 # H2 # H3
H1: Hy =H2 = H3
Arkansas
California
Texas
4.81 4.87 4.99 5.42 5.36 5.42 5.585.59 5.57 5.85 5.97 6.11O
1.48 3.74 4.04 4.46 4.92 5.08 5.26 5.38 5.43 5.48 5.63 5.58
5.64 5.81 6.58 6.88 6.916.86 7.10 7.27 7.45 7.58 7.65 7.68
O C. Ho: H1 = H2 = H3
H4: At least one of the means is different from the others
D. Ho: H1 = H2 = H3
H1: Hq # Hz # H3
Print
Done
Determine the test statistic.
The test statistic is.
(Round to two decimal places as needed.)
Determine the P-value.
The P-value is
(Round to three decimal places as needed.)

Transcribed Image Text: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?
A. 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.
B. 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.
C. 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.
D. 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.
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