In a recent study, patients cholesterol levels were taken, then participants took a new drug that was designed to lower their cholesterol for six weeks. Patients' cholesterol levels were then measured again. Assuming random sampling was used and normality was met, would a paired t-test or an independent t-test be used to determine if the new drug is effective? The raw data is listed below. Patient Cholesterol Level Cholesterol Level After Drug 235 Before Drug 1 238 240 241 246 210 219 235 202 207 Independent two-sample t-test Paired t-test 2345

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In a recent study, patients' cholesterol levels were taken, then participants took a new drug that was designed to lower their cholesterol for six weeks. Patients’ cholesterol levels were then measured again. Assuming random sampling was used and normality was met, would a paired t-test or an independent t-test be used to determine if the new drug is effective? The raw data is listed below.

| Patient | Cholesterol Level Before Drug | Cholesterol Level After Drug |
|---------|-------------------------------|------------------------------|
| 1       | 238                           | 235                          |
| 2       | 240                           | 241                          |
| 3       | 246                           | 235                          |
| 4       | 210                           | 202                          |
| 5       | 219                           | 207                          |

- Independent two-sample t-test
- Paired t-test

**Explanation:**  
The study involves measuring the same patients' cholesterol levels before and after administering a drug, which suggests using a paired t-test. Since the measurements are dependent (each patient serves as their own control), the paired t-test is more appropriate to determine the effect of the drug on cholesterol levels.
Transcribed Image Text:In a recent study, patients' cholesterol levels were taken, then participants took a new drug that was designed to lower their cholesterol for six weeks. Patients’ cholesterol levels were then measured again. Assuming random sampling was used and normality was met, would a paired t-test or an independent t-test be used to determine if the new drug is effective? The raw data is listed below. | Patient | Cholesterol Level Before Drug | Cholesterol Level After Drug | |---------|-------------------------------|------------------------------| | 1 | 238 | 235 | | 2 | 240 | 241 | | 3 | 246 | 235 | | 4 | 210 | 202 | | 5 | 219 | 207 | - Independent two-sample t-test - Paired t-test **Explanation:** The study involves measuring the same patients' cholesterol levels before and after administering a drug, which suggests using a paired t-test. Since the measurements are dependent (each patient serves as their own control), the paired t-test is more appropriate to determine the effect of the drug on cholesterol levels.
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