Question

Use the following data to test if there is a difference in mean age between mothers of a boy and mothers of a girl at alpha =0.05. provide p-value    

MomAge	gestation	sex	weight	preemie
35	39	F	3175	FALSE
22	42	F	3884	FALSE
35	39	F	3030	FALSE
23	40	F	3629	FALSE
23	42	F	3481	FALSE
25	38	F	2693	FALSE
25	40	F	3345	FALSE
24	40	F	3232	FALSE
19	40	F	2795	FALSE
20	40	F	3062	FALSE
18	40	F	3285	FALSE
28	38	F	3374	FALSE
19	40	F	3358	FALSE
24	40	F	2935	FALSE
28	43	F	4309	FALSE
34	41	F	3289	FALSE
30	37	F	2608	FALSE
27	39	F	3515	FALSE
29	40	F	3515	FALSE
40	39	F	3693	FALSE
20	40	F	3941	FALSE
29	39	F	3997	FALSE
22	38	F	2822	FALSE
32	39	F	2920	FALSE
22	40	F	2920	FALSE
24	41	F	3515	FALSE
26	38	F	3515	FALSE
17	37	F	3005	FALSE
21	40	F	2920	FALSE
22	41	F	3490	FALSE
22	39	F	3459	FALSE
31	40	F	3827	FALSE
15	44	F	3459	FALSE
18	39	F	3345	FALSE
27	39	F	3005	FALSE
22	41	F	2830	FALSE
20	40	F	3374	FALSE
31	40	F	3317	FALSE
23	39	F	2880	FALSE
21	40	F	3572	FALSE
36	39	F	3610	FALSE
15	38	F	2892	FALSE
37	40	F	3799	FALSE
28	44	F	4337	FALSE
19	41	F	3458	FALSE
22	38	F	2948	FALSE
24	40	F	3571	FALSE
30	40	F	3062	FALSE
27	39	F	3090	FALSE
19	44	F	3840	FALSE
29	42	F	3665	FALSE
23	41	F	3544	FALSE
33	39	F	3090	FALSE
20	39	F	3175	FALSE
31	41	F	4054	FALSE
41	40	F	4000	FALSE
22	40	F	3440	FALSE
20	41	F	3742	FALSE
23	38	F	3119	FALSE
26	40	F	3657	FALSE
38	38	F	3005	FALSE
27	40	F	3155	FALSE
30	37	F	3345	FALSE
36	38	F	2934	FALSE
27	42	F	3515	FALSE
27	39	F	3402	FALSE
24	40	F	3772	FALSE
32	42	F	3829	FALSE
24	40	F	3230	FALSE
23	39	F	3135	FALSE
27	40	F	3260	FALSE
21	41	F	3448	FALSE
14	38	F	2977	FALSE
29	39	F	3288	FALSE
19	39	F	3391	FALSE
29	39	F	2807	FALSE
32	39	F	3062	FALSE
33	39	F	3850	FALSE
34	39	F	3081	FALSE
28	39	F	4825	FALSE
26	40	F	3742	FALSE
24	45	F	3200	FALSE
22	43	F	3317	FALSE
33	40	F	3600	FALSE
25	40	F	2858	FALSE
19	36	F	2948	TRUE
20	36	F	2459	TRUE
16	23	F	1049	TRUE
18	33	F	2560	TRUE
33	27	F	907	TRUE
15	36	F	2552	TRUE
25	36	F	2920	TRUE
29	36	F	2381	TRUE
32	35	F	3175	TRUE
17	34	F	3131	TRUE
24	35	F	2665	TRUE
20	36	F	3487	TRUE
26	39	M	3374	FALSE
32	38	M	4338	FALSE
22	40	M	2948	FALSE
20	41	M	3402	FALSE
30	37	M	3175	FALSE
20	39	M	2675	FALSE
25	38	M	3805	FALSE
18	41	M	3333	FALSE
19	37	M	3232	FALSE
28	39	M	3856	FALSE
30	39	M	3629	FALSE
33	37	M	2892	FALSE
27	39	M	3137	FALSE
21	40	M	4253	FALSE
41	38	M	2182	FALSE
18	39	M	3657	FALSE
37	39	M	4140	FALSE
20	40	M	2977	FALSE
26	38	M	2920	FALSE
17	41	M	3572	FALSE
20	39	M	3374	FALSE
29	47	M	3345	FALSE
24	39	M	4196	FALSE
20	42	M	3402	FALSE
19	38	M	3220	FALSE
16	39	M	1985	FALSE
36	40	M	3742	FALSE
30	39	M	3600	FALSE
30	40	M	3570	FALSE
20	43	M	2765	FALSE
21	40	M	3714	FALSE
21	38	M	2892	FALSE
21	42	M	2865	FALSE
31	40	M	4366	FALSE
19	38	M	3119	FALSE
24	40	M	3118	FALSE
22	38	M	3770	FALSE
20	40	M	3629	FALSE
24	37	M	2669	FALSE
20	40	M	3714	FALSE
24	40	M	3147	FALSE
36	38	M	3600	FALSE
37	39	M	4110	FALSE
42	40	M	4224	FALSE
34	40	M	4309	FALSE
33	38	M	3459	FALSE
23	38	M	3714	FALSE
21	39	M	2580	FALSE
22	39	M	2785	FALSE
38	37	M	3033	FALSE
26	40	M	3373	FALSE
22	37	M	2977	FALSE
23	42	M	3232	FALSE
31	39	M	3402	FALSE
27	39	M	3487	FALSE
35	40	M	4593	FALSE
30	42	M	2466	FALSE
29	39	M	3686	FALSE
31	41	M	3289	FALSE
27	38	M	3685	FALSE
30	39	M	3968	FALSE
33	39	M	3480	FALSE
35	40	M	3544	FALSE
39	39	M	3572	FALSE
25	41	M	3686	FALSE
21	40	M	4253	FALSE
37	37	M	2410	FALSE
36	38	M	3629	FALSE
37	39	M	3714	FALSE
26	40	M	3204	FALSE
25	38	M	3459	FALSE
31	39	M	3480	FALSE
23	38	M	3203	FALSE
24	38	M	3090	FALSE
23	43	M	2835	FALSE
20	38	M	2807	FALSE
26	40	M	3204	FALSE
18	42	M	3629	FALSE
37	41	M	4224	FALSE
19	39	M	3600	FALSE
26	41	M	2730	FALSE
36	38	M	3175	FALSE
33	39	M	3459	FALSE
21	40	M	3945	FALSE
36	40	M	4082	FALSE
27	39	M	3317	FALSE
34	40	M	2530	FALSE
36	37	M	3204	FALSE
23	39	M	3572	FALSE
41	36	M	2834	TRUE
32	33	M	1729	TRUE
29	36	M	4330	TRUE
23	33	M	1671	TRUE
33	35	M	2126	TRUE
28	35	M	2665	TRUE
40	36	M	2268	TRUE
21	36	M	3345	TRUE
25	34	M	2778	TRUE
34	33	M	2608	TRUE
35	36	M	2750	TRUE
27	33	M	2807	TRUE
40	36	M	2693	TRUE
34	36	M	2552	TRUE

Answer 1

The null and alternative hypothesis:

H0: There is no significant difference in mean age between mothers of a boy and mothers of a girl.

H1: There is significant difference in mean age between mothers of a boy and mothers of a girl.

The value of test statistic is: t = 2.4011

The p-value = 0.0173

Conclusion: The p-value of the t test is less than 0.05. Hence we reject null hypothesis at 5% level of significance and conclude that there is significant difference in mean age between mothers of a boy and mothers of a girl.