Question

1. Perform a two-sample t-test to determine if the average analytic GRE scores for males and females are significantly different (use α = 0.05).  Be sure to report the test statistic and p-value.

ID	Gender	Ethnicity	Age	Science Type	Student Status	Verbal GRE	Quantitative GRE	Analytic GRE	College GPA	Graduate GPA
1	Female	White	24	Social	Full Time	450	500	550	3.14	3.42
2	Female	White	25	Social	Full Time	480	580	450	3.11	3.34
3	Female	White	30	Social	Full Time	610	650	680	3.62	3.79
4	Female	White	30	Social	Full Time	540	550	560	3.15	3.46
5	Male	White	31	Social	Full Time	650	570	610	3.39	3.78
6	Male	White	33	Social	Full Time	690	640	680	3.54	3.74
7	Male	White	32	Social	Full Time	700	600	600	3.46	3.86
8	Male	White	34	Social	Full Time	580	520	530	3.45	3.49
9	Female	White	27	Social	Part Time	500	640	450	3.24	3.57
10	Female	White	30	Social	Part Time	490	740	590	3.26	3.48
11	Male	White	26	Social	Part Time	390	650	550	3.4	3.59
12	Female	White	26	Physical	Full Time	500	480	550	3.29	3.39
13	Female	White	34	Physical	Full Time	630	710	720	3.68	3.9
14	Female	White	32	Physical	Full Time	640	620	630	3.64	3.87
15	Female	White	32	Physical	Full Time	520	480	540	3.28	3.54
16	Male	White	23	Physical	Full Time	610	560	540	3.21	3.52
17	Male	White	28	Physical	Full Time	650	560	480	3.18	3.54
18	Male	White	30	Physical	Full Time	610	520	670	3.64	3.87
19	Female	White	32	Physical	Part Time	510	700	670	3.58	3.77
20	Female	White	28	Physical	Part Time	420	750	520	3.56	3.86
21	Female	White	32	Physical	Part Time	460	750	560	3.47	3.69
22	Female	White	29	Physical	Part Time	480	740	560	3.62	3.78
23	Female	Black	24	Social	Full Time	420	590	490	3.15	3.43
24	Female	Black	28	Social	Full Time	580	590	610	3.54	3.78
25	Female	Black	29	Social	Full Time	620	650	600	3.54	3.85
26	Male	Black	30	Social	Full Time	620	540	560	3.45	3.75
27	Female	Black	29	Social	Part Time	640	660	630	3.45	3.78
28	Male	White	31	Social	Part Time	640	540	540	3.38	3.69
29	Female	Black	27	Physical	Full Time	580	560	540	3.46	3.68
30	Female	Black	32	Physical	Full Time	600	600	580	3.37	3.76
31	Male	Black	33	Physical	Full Time	680	610	640	3.5	3.64
32	Male	Black	26	Physical	Part Time	400	600	520	3.39	3.53
33	Male	Black	24	Physical	Part Time	530	540	560	3.34	3.53
34	Male	Black	31	Physical	Part Time	500	510	520	3.2	3.31
35	Male	Asian	28	Social	Full Time	610	570	600	3.4	3.75
36	Male	Asian	26	Social	Part Time	580	510	560	3.26	3.41
37	Female	Asian	24	Physical	Full Time	490	550	560	3.31	3.5
38	Female	Asian	29	Physical	Full Time	520	530	580	3.45	3.65
39	Female	Asian	35	Physical	Full Time	640	720	680	3.75	3.6
40	Female	Asian	31	Physical	Full Time	600	550	550	3.34	3.46
41	Male	Other	25	Social	Full Time	580	520	530	3.33	3.43
42	Male	Other	26	Social	Full Time	550	530	580	3.42	3.58
43	Female	Other	25	Physical	Full Time	430	560	480	3.22	3.46
44	Female	Other	36	Physical	Full Time	650	700	720	3.5	3.75

Answer 1

analytic GRE scores for males and females

	Male Analytic GRE	Female Analytic GRE
	610	550
	680	450
	600	680
	530	560
	550	450
	540	590
	480	550
	670	720
	560	630
	540	540
	640	670
	520	520
	560	560
	520	560
	600	490
	560	610
	530	600
	580	630
		540
		580
		560
		580
		680
		550
		480
		720
Mean	570.5555556	578.8461538
SD	53.84861375	73.93656325