DATASET FOR QUESTION LINK: https://docs.google.com/spreadsheets/d/1wrOllfExhftLZdg2b25IPiRFh9Eq88uD/edit?usp=sharing&ouid=117392702931695178400&rtpof=true&sd=true

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.

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)

USE THE DATASET IN THE ABOVE LINK AND FORMULA SHEET FOR THE FOLLOWING QUESTIONS.

Question 1 (7 marks)

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]

Question 2 (6 marks)

Test, at the 5% level of significance, whether a student owning an Ipad is dependent to how often they exercise?

Question 3 (7 marks)

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