1. Generate a 95% confidence interval for the mean of the variable Weight. Show detailed calculation steps to get full credits.
2. Perform a hypothesis testing, at significance level of 0.05, for the mean of the variable Weight. H₀: vs H_a: .(HINT: two-sided t test). Show detailed steps.

Age	Sex	Head.L	Head.W	Neck.G	Length	Chest.G	Weight
19	1	10	5	15	45	23	65
19	2	11	6.5	20	47.5	24	70
20	2	12	6	17	57	27	74
23	2	12.5	5	20.5	59.5	38	142
29	2	12	6	18	62	31	121
19	1	11	5.5	16	53	26	80
20	1	12	5.5	17	56	30.5	108
55	1	16.5	9	28	67.5	45	344
67	1	16.5	9	27	78	49	371
81	1	15.5	8	31	72	54	416
0	1	16	8	32	77	52	432
115	1	17	10	31.5	72	49	348
117	1	15.5	7.5	32	75	54.5	476
124	1	17.5	8	32	75	55	478
140	1	15	9	33	75	49	386
104	2	15.5	6.5	22	62	35	166
100	2	13	7	21	70	41	220
70	1	15	6.5	28	78	45	334
56	1	15	7.5	26.5	73.5	41	262
51	1	13.5	8	27	68.5	49	360
0	1	15.5	7	29.3	76	53	416
57	2	13.5	7	20	64	38	204
53	2	12.5	6	18	58	31	144
0	1	12	8.3	18.5	60.3	32	122
68	1	16	9	29	73	44	332
8	1	9	4.5	13	37	19	34
44	2	12.5	4.5	10.5	63	32	140
32	1	14	5	21.5	67	37	180
20	2	11.5	5	17.5	52	29	105
32	1	13	8	21.5	59	33	166
45	1	13.5	7	24	64	39	204
56	1	14.5	7.5	26.5	66	40	250
9	2	9	4.5	12	36	19	26
21	1	13	6	19	59	30	120
21	1	13	6	19	59	30	114
30	1	13.5	6.5	23	66.5	38	210
177	1	16	9.5	30	72	48	436
57	2	12.5	5	19	57.5	32	125
67	2	12.5	6	19	57	34	152
69	2	12.5	6.5	19.5	61	36	176
81	2	13	5	20	61	33	132
84	2	13.5	5	18.5	57	35	180
21	1	13	5	17	54	28	90
23	1	13	5.5	20.5	57.8	34.5	140
9	1	10	4	13	40	23	40
45	1	16	6	24	63	42	220
9	1	10	4	13.5	43	23	46
18	1	11	5	15	45	25	60
33	1	13.5	6	22	66.5	34	154
57	2	13	5.5	17.5	60.5	31	116
45	2	13	6.5	21	60	34.5	182
21	1	14.5	5.5	20	61	34	150
22	1	14	6.5	26	65	39	180
22	1	13	6	20	63	35	172
21	1	13.5	6	21	59.5	32.5	150
16	1	11	4	16	50.5	28	90
10	1	9.5	4.5	16	40	26	65
82	2	13.5	6.5	28	64	48	356
70	2	14.5	6.5	26	65	48	316
20	1	13.5	5.5	19	60.5	34	148
16	1	11.5	5.5	17.5	52.5	30	104
10	1	11	5	17	49	29	94
10	1	11.5	5	17	47	29.5	86
34	1	13	7	21	59	35	150
43	1	13.5	6	21	64	35	166
34	1	16.5	6.5	27	72	44.5	270
34	1	14	5.5	24	65	39	202
58	2	13.5	6.5	21.5	63	40	202
58	1	15.5	7	28	70.5	50	365
11	1	11.5	6	16.5	48	31	79
17	1	11.5	5	17	50.5	28	90
23	1	12	6.5	19	50	38	148
70	1	15.5	7	28	76.5	55	446
11	2	9	5	15	46	27	62
83	2	14.5	7	23	61.5	44	236
35	1	13.5	8.5	23	63.5	44	212
0	1	18.5	8.5	23.5	67.5	42	204
0	1	15	7	26	65	40	224
16	1	10	4	15.5	48	26	60
16	1	10	5	15	41	26	64
0	2	13	7	21	59	34	146
0	2	15.5	6	20.5	60	35	152
0	1	15.5	9	29	79	50	400
0	1	13.5	7	24.5	62	41	248
0	1	14.5	6.5	26	70.5	41	278
0	1	15	7	26.5	69	46.5	297
0	1	16	9	31.5	75	47	350
17	1	11.5	5	17	53	30.5	114
17	2	11.5	5	15	52.5	28	76
17	2	11	4.5	13	46	23	48
0	2	12	6	19	57	34.5	148
0	2	13.5	5	17	58	29	114
0	2	13.5	5	17	58	29.5	116
0	2	12.5	7.5	19	60	34	158
0	1	14	6.5	21	63	35	198
0	2	12	5	19	58.5	33.5	114
0	2	13	6	17.5	61	33	135
0	2	13.5	5	17	58	29	130
0	1	12.5	6.5	18	60	30	130
0	1	13.5	6.5	22	64	36	190
0	1	14.5	6.5	21.5	64	37	180
0	1	12	6.5	18.5	55.5	27.5	110
0	1	13	6	19.5	61.5	31	140
0	1	13.5	6	20	63.5	33	144
0	1	13.5	6	20	64	35	160
0	1	13.5	6.5	22	66.5	35	184
0	2	11	5	15.5	48.5	25.5	79
0	1	14.5	6	22.5	67	40	216
0	1	15	8	26.5	71	42.5	302
0	2	12	6	19	53.5	32	122
0	1	17	9	29.5	70	45.5	322
0	1	15.5	8	27	70	47	308
0	1	15.5	8	20	63	33	154
0	1	12	6	18	66.5	34	146
0	1	13	5.5	19.5	64	35	162
0	1	17.5	8	30	83	49	396
0	1	13	5	18	55.5	30.5	122
0	1	13	5.5	19.5	55	32.5	126
0	1	13	6	20.5	57	34	146
0	2	13	5.5	19.5	61.5	37	156
0	2	12.5	6	19.5	58.5	32	142
8	2	10	4.5	10	43.5	24	29
0	1	16.5	8.5	29.5	69	49.5	348
0	1	17	8.5	30.5	79.5	48.5	368
0	1	12	5.5	18	54.5	32	116
0	1	13	6	19	59	34	130
0	2	14	7	21	66.5	37	160
0	1	13	6.5	20.5	60	36.5	154
0	1	16	7.5	28	73	45	316
0	2	13.5	5.5	19.5	61	35	158
0	2	12.5	5.5	19	56	32	120
83	1	15.5	8	30.5	75	54	514
0	1	15.5	7.5	25.5	73.5	43	324
0	1	14.5	7	22	67.5	38	196
18	1	12.5	8.5	18	57.3	32.8	140
0	2	12	5	18	56	32.5	114
0	1	12	5.5	15	51	24	82
0	2	13	6	22	61	40	230
31	1	15.5	6	23	69	42.5	290
31	1	15.5	6	23	69	42.5	289
0	1	12	4	17.5	59	28.5	128
0	1	13.5	6	20	62	32.5	156
0	1	16.5	6.5	30	72	49	398