This question sheet provides the basic outline of each assignment question. The data for this assignment can be found on vUWS, with each group using a different set of data. Your data set number should be written clearly at the beginning of your completed assignment. The last 2 digits of the group leader's ID number will be your data set number. \"WWW of this document and include it as the FIRST page of your completed assignment. A 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 signicance, 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 signicance, 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 signicance, that a linear relationship exists between the employee's Salary (y) and employee's Age (x)? The data was randomly created for the sole purpose of this assignment. The data can be assumed to be normally distributed for all continuous variables Page 2 of2