Hello all,

I need some assistance with these 3 questions. I've been going through a lot of trauma recently and had to skip 2-3 weeks of university because of it. I would appreciate the working out for these 3 questions so I can learn and catch up with this work. The 3 questions use the data set listed in the table below the questions. Thank you very much for the support.

Questions:

Question 1

Test, at the 1% level of significance, whether the GPA is different for females compared to males.

[You may assume that the unknown population standard deviations for males and females are equal]

Question 2

Test, at the 10% level of significance, whether a student Exercise is dependent to Gender?

Question 3

Can we conclude, at a 5% level of significance, that a linear relationship exists between the Work Hours (y) and Distance (x)?

Data set legend:

Column 1 GPA What was your approximate GPA (1.0 to 7.0)

Column 2 Gender What is your gender? (Male = 0, Female = 1)

Column 3 WorkHrs About how many hours per week do you expect to work at an outside job this semester?

Column 4 Distance How far from campus do you live, in kilometres? (0 if on campus)

Column 5 Exercise How often do you exercise (aerobics, running, etc)? (1 = Not At All, 2 = Sometimes, 3 = Regularly)

Column 6 iPad Do you have an iPad? (1 = No, 2 = Yes)

Data set content:

GPA	Gender	Work Hours	Distance	Exercise	Ipad
1.0	1	18	26	3	1
3.2	0	18	7	2	2
6.8	0	14	0	2	1
2.8	1	19	30	3	2
6.6	0	13	16	1	1
1.6	0	15	33	3	2
5.7	1	14	21	2	2
5.7	1	18	37	2	1
2.2	0	13	13	3	2
3.3	0	13	9	2	1
4.8	1	16	1	3	1
2.8	1	17	38	1	1
3.9	1	21	19	2	1
2.3	0	15	24	1	1
4.4	1	16	8	3	2
4.2	1	15	24	1	1
3.8	0	21	12	2	1
2.0	1	21	27	1	1
4.3	0	20	35	2	1
5.8	1	17	35	2	1
4.4	1	14	25	3	2
2.8	1	20	40	3	1
4.5	0	12	0	3	2
6.6	0	16	15	1	2
5.2	0	18	8	3	1
3.2	0	16	7	2	2
3.7	0	21	39	1	2
1.5	1	19	27	2	2
2.9	1	18	20	3	2
2.3	1	21	25	2	1
5.7	0	14	9	3	1
5.3	0	20	9	1	1
2.3	1	16	5	2	2
1.5	1	13	8	3	2
4.2	1	13	10	1	1
1.3	1	17	29	1	2
1.6	1	22	28	3	2
5.5	1	17	37	2	1
5.9	1	18	21	3	1
5.0	0	20	3	1	1
5.9	1	16	2	2	2
2.9	1	16	24	3	2
4.9	0	17	7	3	2
5.0	1	15	4	2	1
5.4	1	21	33	1	2
2.7	0	17	39	2	1
6.7	0	16	29	3	2
4.2	1	17	11	1	1
1.9	1	17	21	1	2
1.4	1	18	22	2	2
6.6	0	17	8	3	2
5.3	0	20	2	2	1
1.0	1	21	16	1	2
3.0	0	12	1	3	1
2.1	0	14	14	3	2
2.4	1	16	27	1	2
5.7	0	19	29	1	1
3.1	0	20	24	3	1
2.4	1	16	14	1	2
3.9	1	18	11	2	2