Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. 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 regions? Given that the amounts of arsenic in the samples from region B have the highest mean, can we conclude that brown rice from region B poses the greatest health problem? C 4.6 1.5 3.7 4.1 4.2 4.7 4.7 5.1 5.1 5.4 5.6 5.7 5.8 5.7 5.8 6.5 6.7 6.8 6.8 6.8 7.3 7.3 7.5 7.5 7.8 4.6 5.1 5.2 5.7 5.8 5.8 5.8 5.9 6.3 6.3 6.3 A. Determine the null hypothesis and alternative hypothesis. B. Calculate the test statistic. C. What is the P Value? D. Determine the conclusion of the hypothesis test.| 0 O 333 491278 45555 2665 3355 0∞ 5566 6667 7777 5712 77114678 3444 4555 555

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### Practice Problems

Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. 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 regions? Given that the amounts of arsenic in the samples from region B have the highest mean, can we conclude that brown rice from region B poses the greatest health problem?

|   A   |   B   |   C   |
|:-----:|:-----:|:-----:|
|  1.5  |  5.7  |  4.6  |
|  3.7  |  5.8  |  4.6  |
|  4.1  |  6.5  |  5.1  |
|  4.2  |  6.7  |  5.2  |
|  4.7  |  6.8  |  5.7  |
|  4.7  |  6.8  |  5.8  |
|  5.1  |  6.8  |  5.8  |
|  5.1  |  7.3  |  5.8  |
|  5.4  |  7.3  |  5.9  |
|  5.4  |  7.5  |  6.3  |
|  5.7  |  7.5  |  6.3  |
|  5.8  |  7.8  |  6.3  |

**Questions:**
A. Determine the null hypothesis and alternative hypothesis.  
B. Calculate the test statistic.  
C. What is the P Value?  
D. Determine the conclusion of the hypothesis test.
Transcribed Image Text:### Practice Problems Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. 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 regions? Given that the amounts of arsenic in the samples from region B have the highest mean, can we conclude that brown rice from region B poses the greatest health problem? | A | B | C | |:-----:|:-----:|:-----:| | 1.5 | 5.7 | 4.6 | | 3.7 | 5.8 | 4.6 | | 4.1 | 6.5 | 5.1 | | 4.2 | 6.7 | 5.2 | | 4.7 | 6.8 | 5.7 | | 4.7 | 6.8 | 5.8 | | 5.1 | 6.8 | 5.8 | | 5.1 | 7.3 | 5.8 | | 5.4 | 7.3 | 5.9 | | 5.4 | 7.5 | 6.3 | | 5.7 | 7.5 | 6.3 | | 5.8 | 7.8 | 6.3 | **Questions:** A. Determine the null hypothesis and alternative hypothesis. B. Calculate the test statistic. C. What is the P Value? D. Determine the conclusion of the hypothesis test.
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