Q3. (10 Points) A work sampling study was performed on 20 social workers in a county government office. The social workers handle three types of cases: A, single parents; B, foster parents; and C, juvenile delinquents. The purpose of the work sampling study was to determine estimates of the average time per case for each case type. In addition to the three case types, two additional activity categories were included in the study: D. traveling between cases; and E, other miscellaneous) activities. The study was carried out over a five-week period (25 8-hour days or 200 working hours). Observations were taken at random times four times each day for 25 days, for a planned total of 2000 observations (4 x 25 x 20). Each social worker was provided with a cell phone so they could be contacted if they were not in the office building. Because of worker absences, 72 observations were omitted (18 worker-days of absences). Results of the study are presented in the following table. Category of B E activity D Transport cases cases cases Other # of observations 414 372 450 488 204 # of cases completed 539 825 373 a) What is the mean time per case for each of the three case types? b) What is the average travel time spent on a case