A study was commissioned to investigate the characteristics of students in a second year statistics unit. Data was collected on 60 students and the following variables recorded.

See data below.

GPA 'What is your approximate GPA?' (1.0 to 7.0)

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

Test, at the 5% level of significance, whether the average GPA is different for females compared to males.

You may assume that the unknown population standard deviations for males and females are equal, and that the data is normally distributed.

GPA	Gender
4.3	0
6.6	0
7	0
5.3	0
3.9	0
1.5	0
5.8	0
5.2	0
5.1	0
6.3	0
1.8	0
3.7	0
3.6	0
3	0
3.4	0
5.9	0
1.5	0
6.6	0
4.5	0
4	0
4.5	0
4.1	0
3.3	0
6.3	0
3.7	0
3.9	1
3.9	1
3.3	1
3.3	1
4.4	1
2.1	1
2.3	1
3.5	1
4.8	1
2.4	1
1.6	1
1.5	1
3.7	1
3.8	1
4.3	1
4.7	1
2.9	1
1.8	1
6	1
6	1
5.9	1
2.3	1
1.4	1
3.7	1
2.3	1
2.5	1
1.8	1
1.6	1
3.4	1
4.7	1
2.5	1
5.3	1
2.2	1
3.3	1
2.5	1