Problem:

For Exercise 2 of Chapter 2, give an approximate 90% confidence interval (a) for the population total and (b) for the mean.

Exercise 2 of chapter 2 below: 2. 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. (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 variance of that estimator.

Answers from book:

2. . (a) Ny = 310.s2 = 1.88.var (Ny) = 1690. (b) y = 3.1.var (y) = 0.169.