Table 2 Group No Mean 52 of Sick Days Drs 8 7 10 12 19 6 13 12 9 10.67 15.5 Nurses 4 8 3 12 7 10 15 8.43 18.29 Adm 5 12 10 11 9.5 9.67 F. When a member of the above 3 teams is sick, it will cost the hospital a fixed $10,000(there will be changes in the order of operation), on top of this fixed cost, the cost of replacing a Dr would be $2000, a nurse replacement will cost $500 and an admin personal will cost $550. Estimate the mean cost of sick leave for the hospital. G. Place a bound on the mean cost of sick leave for the hospital. H. Based on the fixed cost and the cost of sick leave for Drs, nurses and admin staff given in part (f) (let us assume that the cost C = $33,700), estimate the size of stratified sample n that minimise the variance. Use this value of n to estimate the size of samples from individual strata (n1, n2 and n3) and then estimate minimum variance of the cost. I. What is the mean and variance of the total cost of sick leave per year for the hospital? Use the. information obtained in nart lf'l-lgl? 1. The Victorian government is to conduct a survey to estimate the average number of sick days in the public hospital for a given year reported by HR department. The employees are divided into doctors, nurses, and administrators. Since the three groups of employees have different work patterns and different salaries, it is expected that they would have different rates of sickness. Therefore, it is decided to use stratified random sampling, whit each group forming a separate stratum, for the survey. The number of employees in the strata-are given in Table 1. Table 1 Drs Nurses Adm. No. of employees 120 80 10 A. If a total of 25 employees is required, determine the sample size from each stratum if proportional allocation is employed. 8. Use the data given in Table 2, obtained from sampling 9 Drs, 7 nurses and 4 administrators, to estimate the mean number of sick days for that year. C. Place a 95% confidence bound on this mean. D. Estimate the total number of sick days for the year. E. Place a bound on the total number of sick days and interpret this bound