A union needs to estimate the total (and also the average) number of dependents of all full-time workers in a company. The union has a list of the 600 workers in the company, but the list does not indicate whether the worker is part-time or full-time. The union draws a simple random sample of 80 workers from the 600 workers. The sample data are summarized as follows. Number in the sample Sample mean of number of dependents Sample standard deviation of number of dependents Full-time Part-time 55 25 4.0 0.7071 1.2076 2.0
1. Estimate the total number of dependents of full-time workers.
2. Give a bound on the error of estimation in Question 1).
3. Estimate the average number of dependents of part-time workers.
4. Give a bound on the error of estimation in Question 3).