Using the Data Set below Test the following Hypothesis (Assuming data in the data set is a sample)

Hypothesis: The mean birth weight of babies born to mothers who do not smoke is higher than the mean birth weight of babies born to mothers who do smoke.

Null hypothesis: The mean birth weight of babies born to mothers who do not smoke is not higher than the mean birth weight of babies born to mothers who smoke.

Be sure to show work for the calculations.

What is the result after testing the null hypothesis and explain why?

Is the hypothesis supported or not? why is it or isn't it?.

ID	Length	Birthweight	Head circumfrance	Gestation	smoker (no=0, yes=1)	mother's age	mother's height	mother's pre pregnancy weight	father's age	fathers education years	father's height	baby low birthweight (0=no; 1=yes)	mother's age over 35 (0=no; 1 = yes)
1360	56	4.55	34	44	0	20	162	57	23	10	179	0	0
1016	53	4.32	36	40	0	19	171	62	19	12	183	0	0
462	58	4.1	39	41	0	35	172	58	31	16	185	0	1
1187	53	4.07	38	44	0	20	174	68	26	14	189	0	0
553	54	3.94	37	42	0	24	175	66	30	12	184	0	0
1636	51	3.93	38	38	0	29	165	61	31	16	180	0	0
820	52	3.77	34	40	0	24	157	50	31	16	173	0	0
1191	53	3.65	33	42	0	21	165	61	21	10	185	0	0
1081	54	3.63	38	38	0	18	172	50	20	12	172	0	0
822	50	3.42	35	38	0	20	157	48	22	14	179	0	0
1683	53	3.35	33	41	0	27	164	62	37	14	170	0	0
1088	51	3.27	36	40	0	24	168	53	29	16	181	0	0
1107	52	3.23	36	38	0	31	164	57	35	16	183	0	0
755	53	3.2	33	41	0	21	155	55	25	14	183	0	0
1058	53	3.15	34	40	0	29	167	60	30	16	182	0	0
321	48	3.11	33	37	0	28	158	54	39	10	171	0	0
697	48	3.03	35	39	0	27	162	62	27	14	178	0	0
808	48	2.92	33	34	0	26	167	64	25	12	175	0	0
1600	53	2.9	34	39	0	19	165	57	23	14	193	0	0
1313	43	2.65	32	33	0	24	149	45	26	16	169	1	0
792	53	3.64	38	40	1	20	170	59	24	12	185	0	0
1388	51	3.14	33	41	1	22	160	53	24	16	176	0	0
575	50	2.78	30	37	1	19	165	60	20	14	183	0	0
569	50	2.51	35	39	1	22	159	52	23	14	200	1	0
1363	48	2.37	30	37	1	20	163	47	20	10	185	1	0
300	46	2.05	32	35	1	41	166	57	37	14	173	1	1
431	48	1.92	30	33	1	20	161	50	20	10	180	1	0
1764	58	4.57	39	41	1	32	173	70	38	14	180	0	0
532	53	3.59	34	40	1	31	163	49	41	12	191	0	0
752	49	3.32	36	40	1	27	152	48	37	12	170	0	0
1023	52	3	35	38	1	30	165	64	38	14	180	0	0
57	51	3.32	38	39	1	23	157	48	32	12	169	0	0
1522	50	2.74	33	39	1	21	156	53	24	12	179	0	0
223	50	3.87	33	45	1	28	163	54	30	16	183	0	0
272	52	3.86	36	39	1	30	170	78	40	16	178	0	0
27	53	3.55	37	41	1	37	161	66	46	16	175	0	1
365	52	3.53	37	40	1	26	170	62	30	10	181	0	0
619	52	3.41	33	39	1	23	181	69	23	16	181	0	0
1369	49	3.18	34	38	1	31	162	57	32	16	194	0	0
1262	53	3.19	34	41	1	27	163	51	31	16	185	0	0
516	47	2.66	33	35	1	20	170	57	23	12	186	1	0
1272	53	2.75	32	40	1	37	168	61	31	16	173	0	1