A simple random sample of 10 households is selected from a population of 100 households. The numbers of people in the sample households are 2, 5, 1, 4, 4, 3, 2, 5, 2, 3. Give an approximate 90% confidence interval (a) for the population total and (b) for the mean.
(a) Estimate the total number of people in the population. Estimate the variance of your estimator.
(b) Estimate the mean number of people per household and estimate the vari- ance of that estimator.