The dataset lowbwt contains information recorded for 100 low birth weight infants born in two teaching hospitals

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Question:

The dataset lowbwt contains information recorded for 100 low birth weight infants born in two teaching hospitals in Boston. Measurements of systolic blood pressure are saved under the variable name sbp, while indicators of gender where 1 represents a male and 0 a female, are saved under the name sex.

lowbwt

sheet 1

sbp	sex	tox	grmhem	gestage	apgar5
43	Male	No	No	29	7
51	Male	No	No	31	8
42	Female	No	No	33	0
39	Female	No	No	31	8
48	Female	Yes	No	30	7
31	Male	No	Yes	25	0
31	Male	Yes	No	27	7
40	Female	No	No	29	9
57	Female	No	No	28	6
64	Female	Yes	No	29	9
46	Female	No	No	26	7
47	Female	No	Yes	30	6
63	Female	No	No	29	8
56	Female	No	No	29	1
49	Male	No	No	29	8
87	Male	No	No	29	7
46	Female	No	No	29	8
66	Female	No	No	33	8
42	Female	Yes	No	33	8
52	Female	No	No	29	7
51	Male	No	No	28	7
47	Female	No	No	30	9
54	Male	No	No	27	4
64	Male	No	No	33	9
37	Female	No	No	32	7
36	Male	Yes	No	28	3
45	Female	No	Yes	29	7
39	Male	No	No	28	7
29	Female	No	No	29	4
61	Female	No	No	30	3
53	Male	No	No	31	7
64	Female	No	No	30	7
35	Female	No	No	31	6
34	Male	No	No	29	9
62	Female	No	No	27	7
59	Female	No	No	27	8
36	Male	No	No	27	9
47	Female	No	No	32	8
45	Male	No	Yes	31	2
62	Female	No	Yes	28	5
75	Male	Yes	No	30	7
44	Male	No	No	29	0
39	Male	No	No	28	8
48	Female	No	Yes	31	7
43	Female	Yes	No	27	6
19	Female	No	Yes	25	4
63	Male	No	No	30	7
42	Male	No	No	28	6
44	Female	No	No	28	9
25	Female	No	No	25	8
26	Female	No	No	23	8
27	Male	No	No	27	9
35	Male	No	No	28	8
40	Male	No	No	27	7
44	Female	No	No	27	6
66	Male	No	No	26	8
59	Female	No	No	25	3
24	Female	No	No	23	7
40	Female	No	Yes	26	3
49	Female	No	No	24	5
53	Male	Yes	No	29	9
45	Female	No	No	29	9
50	Male	No	Yes	27	8
64	Male	No	No	30	7
48	Female	No	No	30	6
48	Female	No	Yes	32	4
58	Female	Yes	No	33	7
67	Female	No	No	27	8
40	Female	No	Yes	31	8
48	Female	No	No	26	8
36	Male	No	No	27	5
44	Male	No	No	27	6
53	Female	Yes	No	35	9
45	Female	Yes	No	28	6
54	Male	No	No	30	8
44	Male	Yes	No	31	2
42	Male	No	No	30	5
50	Female	No	No	27	0
48	Female	No	No	25	5
29	Female	No	Yes	25	5
30	Female	No	Yes	26	2
36	Female	No	No	29	0
44	Female	No	No	29	0
46	Female	Yes	No	34	9
51	Male	Yes	No	30	4
51	Male	No	No	29	5
43	Male	Yes	No	33	7
48	Male	No	No	30	5
52	Male	No	No	29	8
43	Male	No	No	24	6
42	Male	Yes	No	33	8
48	Male	No	Yes	25	5
49	Female	Yes	No	32	8
62	Male	Yes	No	31	7
45	Male	No	No	31	9
51	Female	Yes	Yes	31	6
52	Male	No	No	29	8
47	Male	Yes	No	32	5
40	Female	Yes	No	33	8
50	Female	No	No	28	7

Sheet 2

sbp
42	43	Male
39	51	Male	Gender	Mean	SD	Sample Size
48	31	Male	Female	46.4643	11.1453	56
40	31	Male	Male	47.8636	11.8058	44
57	49	Male
64	87	Male
46	51	Male	46.4643	47.8636
47	54	Male	11.1453	11.8058
63	64	Male	56	44
56	36	Male
46	39	Male
66	53	Male
42	34	Male
52	36	Male
47	45	Male
37	75	Male
45	44	Male
29	39	Male
61	63	Male
64	42	Male
35	27	Male
62	35	Male
59	40	Male
47	66	Male
62	53	Male
48	50	Male
43	64	Male
19	36	Male
44	44	Male
25	54	Male
26	44	Male
44	42	Male
59	51	Male
24	51	Male
40	43	Male
49	48	Male
45	52	Male
48	43	Male
48	42	Male
58	48	Male
67	62	Male
40	45	Male
48	52	Male
53	47	Male
45
50
48
29
30
36
44
46
49
51
40
50

Sheet 3

a). Compute a 95% confidence interval for the true mean systolic blood pressure of male low birth weight infants.
b). Compute a 95% confidence interval for the true mean systolic blood pressure of female low birth weight infants.
c). Do you think it is possible that both males and females have the same mean systolic blood pressure. Explain.