\fA study was commissioned to investigate the characteristics of employees at a major business. Data was collected on 60 employees and the following variables recorded. Column 1 Gender What is your gender? (1 = Male, 0 = Female) Column 2 Age How old are you? Column 3 Salary What is your yearly salary (before Tax)? Column 4 Overtime How much overtime do you work each week? Column 5 Job Type What department do you work in? (1 = Purchasing, 2 = Marketing/Human Resource, 3 = Accounting) QUESTION 1 (7 marks) The company has been accused of gender inequality. Test, at the 5% level of significance, whether the average salary of males is greater than the average salary of females [You may assume that the unknown population standard deviations for male and female salaries are equal] QUESTION 2 (6 marks) Test, at the 5% level of significance, whether Job Type of an employee is related to the employee's gender? QUESTION 3 (7 marks) Can we conclude, at a 5% level of significance, that a linear relationship exists between the employee's Salary (y) and employee's Age (x)