For questions 7-12, refer to the following information: Researchers conducted a study to evaluate which of two medications, Drug A or Drug B, is more
For questions 7-12, refer to the following information: Researchers conducted a study to evaluate which of two medications, Drug A or Drug B, is more effective in treating headaches. Each patient was administered Drug A for one headache and Drug B for a different headache. The amount of time to pain relief was recorded in the table below. The sample standard deviation of the differences between the relief time of Drug A and the relief time of Drug B is 2.1213. Using a 0.05 significance level, you need to test the claim that the relief time for Drug A is different than the relief time for drug B. To do so, answer each of the following questions. Drug A Relief 20 40 30 45 19 27 32 Time 26 Drug B Relief 18 36 30 46 15 22 29 Time 25 7. What is the most appropriate statistical test for the given claim? (0.5 points) a. Two-sample z-test b. Wilcoxon rank-sum test c. Two-sample (pooled variance) t-test d. Two-sample (unpooled variance) t-test e. Paired t-test 8. What is the null hypothesis Ho? (1 point) a. Ma = 0 b. Ma # 0 C. M1 - M2 = 0 d. M1 - H2 0 e. X1 - X2 = 0 f. x1 - X2 # 09. What is the alternative hypothesis Hi? (1 point) a. Ma = 0 b. Ma # 0 C. M1 - H2 = 0 d. M1 - H2 + 0 e. X1 - X2 = 0 f. x1 - x2 + 0 10. What critical value(s) should you use to test the given hypothesis? (1 point) a. 1.860 b. 1.895 c. 1.960 d. 2.306 e. 2.365 11. What is the value of the test statistic you should use to test the given hypothesis? (2 points) a. 0.75 b. 2.25 c. 2.81 d. 3.00 e. 8.4912. What conclusion should you make based on the given data? (1 point) a. Reject Ho and conclude there is not sufficient evidence to support the claim that the relief time for Drug A is different than the relief time for drug B. b. Reject Ho and conclude there is sufficient evidence to support the claim that the relief time for Drug A is different than the relief time for drug B. c. Accept Ho and conclude there is sufficient evidence to support the claim that the relief time for Drug A is different than the relief time for drug B. d. Fail to reject Ho and conclude there is not sufficient evidence to support the claim that the relief time for Drug A is different than the relief time for drug B. e. Fail to reject Ho and conclude there is sufficient evidence to support the claim that the relief time for Drug A is different than the relief time for drug B
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