6. (Section 10.4) Setup: Mark was curious about the milligrams of potassium in one serving of...

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6. (Section 10.4) Setup: Mark was curious about the milligrams of potassium in one serving of various cereals. To investigate this, twenty-four different boxes of cereal were obtained and the amount of potassium per serving was recorded. Task: Perform a hypothesis test using R to determine if you can support a claim that the mean potassium amount differs from 111 milligrams? Use a = 0.033 to make your decision. R Output: Upon running your analysis in R, you obtain the following results: One Sample t-test data: t = cereal$Potassium -2.2281, df = 23, p-value = 0.03594 alternative hypothesis: true mean is not equal to 111 96.7 percent confidence interval: 63.15374 111.42959 sample estimates: mean of x 87.29167 Questions: (a) State the hypotheses used in performing this test. Use math symbols and numbers. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the hypothesis test, as well as why you made that decision. (c) Based on the decision you made, state your conclusion in the context of the problem. 6. (Section 10.4) Setup: Mark was curious about the milligrams of potassium in one serving of various cereals. To investigate this, twenty-four different boxes of cereal were obtained and the amount of potassium per serving was recorded. Task: Perform a hypothesis test using R to determine if you can support a claim that the mean potassium amount differs from 111 milligrams? Use a = 0.033 to make your decision. R Output: Upon running your analysis in R, you obtain the following results: One Sample t-test data: t = cereal$Potassium -2.2281, df = 23, p-value = 0.03594 alternative hypothesis: true mean is not equal to 111 96.7 percent confidence interval: 63.15374 111.42959 sample estimates: mean of x 87.29167 Questions: (a) State the hypotheses used in performing this test. Use math symbols and numbers. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the hypothesis test, as well as why you made that decision. (c) Based on the decision you made, state your conclusion in the context of the problem.