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trial is designed to evaluate the efficacy of the drug in lowering cholesterol. Thirty

participants are enrolled in the trial and are randomly assigned to receive either the new

drug or a standard treatment (statin). The participants do not know which treatment they

are assigned. Each participant is asked to take the assigned treatment for 6 weeks. At the

end of 6 weeks, each patient's total cholesterol level is measured and the sample statistics

are shown in the table below.

Provided below are the hypotheses and the level of significance.

H0: μ1 = μ2

Ha: μ1 < μ2

α = 0.05

1) (6 pts) Since both samples are small (n1 < 30 and n2 < 30), we use the t test statistic. Assume that the assumptions for conducting this type of t-test are met, what would be the appropriate type of t test to select? Explain why you selected this type of t- test.

2) (6 pts) The calculated test statistic is t = -2.92. Critical value for this one-sided test is -1.701, which is determined based on df = n1 + n2 - 2 = 28 and α = 0.05.

i. Compare the test statistic to the critical value -1.701, would you reject the null hypothesis? Explain your decision.

ii. Interpret the result of the t-test.

3) (5 pts) Based on evidence above, is there statistical evidence of a reduction in mean total cholesterol in patients taking the new drug for 6 weeks as compared to participants receiving the standard treatment?