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
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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Step 1: Write the given information.
VIEWStep 2: Determine the grand mean , degree of freedom and sum of squares for the given groups.
VIEWStep 3: Determine the mean square, F statistics and Anova table for the given groups.
VIEWStep 4: Perform the hypothesis test for the testing the claim of equal means.
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