Question

Do male and female students study the same amount per week? In 2007, 58 sophomore business students were surveyed at a large university that has more than 1,000 sophomore business students each year. The file Study Times contains the gender and the number of hours spent studying in a typical week for the sampled students.

1. At the 0.05 level of significance, is there a difference in the variance of the study time for male students and female students?
   
2. Using the results of (a), which t test is appropriate for comparing the mean study time for male and female students?
                                                    
3. At the 0.05 level of significance, conduct the test selected in (b).
   
4. Write a short summary of your findings.

	Female	Male
1	18.0	10.0
2	20.0	5.5
3	10.0	6.0
4	18.0	14.0
5	8.0	10.0
6	25.0	6.0
7	22.5	12.0
8	30.0	21.0
9	20.0	15.0
10	24.0	12.0
11	15.0	10.0
12	15.0	8.5
13	10.0	25.0
14	14.0	10.0
15	15.0	20.0
16	12.0	8.0
17	11.0	8.0
18	12.0	12.0
19	15.0	6.0
20	18.0	6.0
21		7.0
22		10.0
23		10.0
24		9.0
25		10.0
26		30.0
27		10.0
28		10.0
29		5.0
30		5.0
31		10.0
32		11.0
33		15.0
34		15.0
35		7.0
36		8.0
37		12.0
38		10.0
mean (=Average)	16.6	11.0
median (= Median)	15.0	10.0
mode (=Mode)	15	10
STD Dev (=STDEVA)	5.714421	5.406386824

Data
Hypothesized Difference	0
Level of Significance	0.05
Population 1 Sample
Sample Size	20
Sample Mean	16.6
Sample Standard Deviation	5.7144
Population 2 Sample
Sample Size	38
Sample Mean	11
Sample Standard Deviation	5.4064
Intermediate Calculations
Population 1 Sample Degrees of Freedom	19
Population 2 Sample Degrees of Freedom	37
Total Degrees of Freedom	56
Pooled Variance	30.39128
Standard error	1.522936
Difference in Sample Means	5.6
t Test Statistic	3.677107
Two-Tail Test
Lower Critical Value	-2.00324
Upper Critical Value	2.003241
p-value	0.00053

Answer 1