A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete,
the researchers find that the 32 participants in the treatment group lowered their cholesterol levels by a mean of 19.9 points with a
standard deviation of 3.9 points. The 36 participants in the control group lowered their cholesterol levels by a mean of 19.3 points with a
standard deviation of 1.3 points. Assume that the population variances are not equal and test the company's claim at the 0.01 level. Let
the treatment group be Population 1 and let the control group be Population 2
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.