Question

1) Investigators want to determine the effectiveness of a new drug in lowering cholesterol. They conduct a small clinical trial in which patients were randomized to receive the new drug or placebo. The total cholesterol was measured after ten weeks on the assigned treatment. The table below shows the results. Sample Size (n) Mean Cholesterol SD New drug 30 198.8 26.7 Placebo 30 215.4 30.3 Is there sufficient evidence to conclude a difference in mean cholesterol for patients on the new drug compared to patients receiving the placebo? Use a significance level of a = 0.05. a) Give the name of the hypothesis test that would be appropriate for this situation. (1 point) b) State the hypotheses in symbols. Make sure to define your variables first. (2 points) c) Use your calculator to perform the appropriate hypothesis test and report the test statistic and p-value. Be sure to write out what you entered in your calculator. (3 points) d) Write a full conclusion for this test in the context of the problem. (2 points)

Answer 1

a positive * Splease give - 0.05 rating? Ho: Noll ty potusis: There difference in There will be for patient on cholesterol means compared to new drug placeto = 42 There will be cholestral too dilterence Hi in mean the new drug compared en patent to placeto, 1, 7M2

tz - Ą to th2-2 va kous 2 (2052 Dtn-2 198.8 - 215.4 11 (30-1)×(26.702 + (30-1) (30.88 30+30-2 - 2.251 pvalle = 0.0282 prale c 0.05 Nils hypothesis will be rejected It means there in difference in cholestral for patien on the new drug compared to placebo.