(c) (i) A firm wants to obtain information on the hours of overtime work of employees. Stratified random sampling is used and the employees are stratified as follows: Stratum Nh S Managers 25 36 Technicians 40 25 Administrators 80 9 If a simple random sample of 50 employees is drawn, use the Neyman allocation to determine the sample sizes for the three strata. (4) 6 [TURN OVER] STA3705 JAN/FEBR 2023 (ii) Use the following information to determine a 95% confidence interval for the mean number of hours of overtime: Stratum Nh | nh S Managers 25 4 Technicians 40 12.5 36 10.8 25 Administrators 80 16 6.0 9 (4)