QUESTION 2: Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below: Plot: Before After 1. 50 55 2. 45 48 3. 52 58 4. 47 50 5. 49 52 6. 51 56 7. 48 51 8. 46 49 9. 50 54 10. 53 57 You wish to test the following hypothesis at the 5% level of significance: H0: μ = 0 against Ha: μ > 0. What decision rule would you use? Reject Ha if the test statistic is greater than 2.82 or less than -2.821. Reject H0 if the test statistic is less than 2.821. Reject H0 if the test statistic is greater than 2.821. Reject H0 if the test statistic is greater than -2.821.
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Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below. Plot: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Before: 9, 9, 8, 7, 6, 8, 5, 9, 10, 11. After: 10, 9, 9, 8, 7, 10, 6, 10, 10, 12. You wish to test the following hypothesis at the 10 percent level of significance. H0: μ d = 0 against H1: μ d ≠ 0. What decision rule would you use? Reject H0 if test statistic is less than -1.833. Reject H0 if test statistic is greater than -1.833 or less than 1.833. Reject H0 if test statistic is greater than 1.833. Reject H0 if test statistic is less than -1.833 or greater than 1.833.
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Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d-bar = 3.125, Sd = 2.911, and n = 8, and that you wish to test the following hypothesis at the 10% level of significance: H0: μd = 0 against H1: μd > 0. What decision rule would you use? Select one: a. Reject H0 if the test statistic is less than 1.415. b. Reject H0 if the test statistic is greater than -1.415 and less than 1.415. c. Reject H0 if the test statistic is greater than 1.415. d. Reject H0 if the test statistic is greater than -1.415.
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Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d = 3.125, sd = 2.911, and n = 8, and that you wish to test the following hypothesis at the 10% level of significance: H0 : μd = 0 against H1 : μd > 0. What decision rule would you use? A) Reject H0 if the test statistic is less than 1.415. B) Reject H0 if the test statistic is greater than -1.145. C) Reject H0 if the test statistic is greater than -1.145 or less than 1.415. D) Reject H0 if the test statistic is greater than 1.415.
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