A pharmaceutical company is running tests to see how well its new drug lowers cholesterol. Fifteen adults volunteer to participate in the study. The total cholesterol level of each participant (in mg/dL) is recorded once at the start of the study and then again after three months of taking the drug. The results are given in the following table. Construct a 99%
confidence interval for the true mean difference between the cholesterol levels for people who take the new drug. Let Population 1 be the initial cholesterol level and Population 2 be the cholesterol level after three months. Do not round decimal.
necessary.

Total Cholesterol Levels (in mg/dL)
Initial Level Level after Three Months
185
199
195
199
206
211
185
212
203
194
210
211
194
205
183
209
207
218
206
210
193
198
192
201
186
194
194
186
208
219