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...

Arkansas    California           Texas
4.82            1.49                     5.59
4.86            3.66                     5.83
4.99            3.96                     6.61
5.40            4.53                     6.94
5.44            4.88                     6.87
5.40            5.13                     6.92
5.61            5.29                     7.12
5.57            5.38                     7.30
5.57            5.39                     7.49
5.87            5.53                     7.59
6.00            5.57                     7.72
6.05            5.63                     7.67

Extracted 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? A. Ho: H1 = H2 = H3 Hq: Hy # Hz# Hz B. Ho: At least one of the means is different from the others H1: H1 =H2 = H3 O C. Ho: H1 = H2 = H3 H4: At least one of the means is different from the others O D. Ho: H1 + H2 # H3 H1: H1 = 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 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.


Extracted text: 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. 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. B. 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. C. 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. D. 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.