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 44 participants in the treatment group lowered their cholesterol levels by a mean of 20.7 points with a standard deviation of 5.1 points. The 34 participants in the control group lowered their cholesterol levels by a mean of 18.6 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 0.02 level. Let the treatment group be Population 1 and let the control group be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho : 41 = 42 42 Int: "H

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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 44 participants in the treatment group lowered their cholesterol levels by a mean of 20.7 points with a standard deviation of 5.1 points. The 34 participants in the control group lowered their cholesterol levels by a mean of 18.6 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 0.02 level. Let the treatment group be Population 1 and let the control group be Population 2.

**Step 1 of 3**: State the null and alternative hypotheses for the test. Fill in the blank below.

\[
H_0: \mu_1 = \mu_2 
\]

\[
H_a: \mu_1 \neq \mu_2 
\]
Transcribed Image Text: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 44 participants in the treatment group lowered their cholesterol levels by a mean of 20.7 points with a standard deviation of 5.1 points. The 34 participants in the control group lowered their cholesterol levels by a mean of 18.6 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 0.02 level. Let the treatment group be Population 1 and let the control group be Population 2. **Step 1 of 3**: State the null and alternative hypotheses for the test. Fill in the blank below. \[ H_0: \mu_1 = \mu_2 \] \[ H_a: \mu_1 \neq \mu_2 \]
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