29 37000 13 213 46000 10 01 101000 o 33 550m 5 1 Astudy was commissioned to investigatethe characteristics otempioyees at a majorbusiness. Data o 25 saooo 4 2 . _ o 27 43000 12 2 was collected on 60 employees and the followrng variables recorded. 0 20 51000 B 2 0 34 74000 3 i g '1: g 1: 1 Column 1 Gender What is yourgender? (1 = Male, 0 = Female) 0 25 37000 11 2 Column 2 Age How old are you? 0 10 50000 5 1 . o 31 52000 2 3 Column 3 Salary What is your yearly salary (before Tax)? 3 :'1' 233$ : : Column 4 Overtime How much overtime do you work each week? 3 : 33$ 1: : Column 5 Job Type What department do you work in? (l 2 Purchasing, o 20 29000 7 1 2: Marketing/Human Resource, 3 = Accounting) 0 26 42000 1 2 I I 0 35 53000 3 2 o 27 40000 a a QUESTION 1 (7 marks) 0 32 33000 4 2 0 27 37000 '3 2 g :3 217$ : i The company has been accused of gender inequality. Test, at the 5% level of significance, whether the o 36 42000 7 2 average salary of males is greater than the average salary of females 0 29 37000 10 2 0 30 43000 0 Z 3 :; 33$ 1 : [You may assume that the unknown population standard deviations for male and female salaries 0 29 30000 6 2 are equal] 0 30 45000 2 Z 0 35 46000 5 2 0 21 26000 11 1 1 31 37ooo o 1 I QUESTFON 2 (6 marks) 1 26 42000 13 3 1 48 60000 I 3 i :3 Egg 1: 3 Test, at the 5% level of significance, whether Job Type of an employee is related to the employee's 1 Go 59000 2 a gender? 1 5:1 77000 5 2 1 10 46000 13 3 1 41 57000 4 3 1 2, mm 2 1 QUESTEON 3 (7 marks) 1 26 29000 E 1 1 56 73000 1 1 1 53 33000 5 1 Can we conclude, at a 5% level of significance, that a linear relationship exists between the 1 34 41000 5 1 1 33 42mm 1 2 employee's Salary (y) and employee's Age (x)? 1 43 00000 1 1 I I 1 20 58000 12 2 1 27 48000 6 2 1 32 58000 2 3 1 20 45000 B 3 1 15 48000 12 2 1 10 52000 7 3 1 3:1 53000 1 2 1 1 1 2 1 2