Question: for the population of n 5 units of exercise...
For the population of N = 5 units of Exercise 3 of Chapter 2
(a) Compute directly the variance var (y) of the sample mean and the variance var( m ) of the sample median.
(b) From each sample, compute the sample variance s 2 and the estimate var (y) of the variance of the sample mean. Show that the sample variance s 2 is unbiased for the √ finite-population variance σ 2 but that the sample standard deviation 2 √ s = s is not unbiased for the population standard deviation σ 2 .
(c)each sample, construct a standard 95% confidence interval for the population mean. What is the actual coverage probability for the method with this population and design?
below is ex3 of chapter2: