1. A clinical trial for a new heart disease medication is performed on a group of 30 individuals. The researchers hope the medication has profound effects on total cholesterol and triglycerides and take measures both before and three months after taking the medication. Based on the table below, calculate the following for both total cholesterol and triglycerides:
   1. Sample population mean and SD.
   2. The 95% and 99% confidence intervals.
   3. State and Test the null and alternative hypothesis that the after-treatment results are significantly different from the before treatment results. (10 points)

Patient #	Pre-Medication Total Cholesterol (mg/dL)	Post-Medication Total Cholesterol (mg/dL)	Pre-Medication Triglycerides (mg/dL)	Post-Medication Triglycerides (mg/dL)
1	156	122	97	77
2	245	232	122	89
3	232	189	156	145
4	186	167	98	84
5	146	144	55	49
6	177	157	78	69
7	242	167	107	99
8	285	202	158	151
9	234	189	133	119
10	237	156	127	121
11	179	165	88	79
12	315	263	171	145
13	199	178	92	88
14	267	211	134	127
15	256	187	152	137
16	297	256	163	151
17	276	234	144	132
18	166	160	88	81
19	278	226	124	110
20	320	269	172	151
21	178	158	139	121
22	247	201	122	102
23	364	263	180	167
24	289	225	166	151
25	267	194	157	126
26	256	199	142	132
27	188	166	99	89
28	268	206	137	116
29	274	236	142	131
30	254	219	123	115