A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 27 patients were recorded before administering the drug and after. The mean difference in total cholesterol levels (after - before) was 1.544 mg/dL with a standard deviation of 7.6237 mg/dL. Create a 99% confidence interval for the true average difference in cholesterol levels by the drug.
1) (2.5329, 5.6209)
2) (-2.5329, 5.6209)
3) (-2.5211, 5.6091)
4) (-1.2347, 4.3227)
5) (0.0768, 3.0112)