The document discusses a random variable X with mean μ and variance σ^2 from which a random sample of size n is taken. It states that the sample mean and sample variance defined below are unbiased estimators of the population mean μ and variance σ^2, respectively.

8. Suppose that X is a random variable with mean µ and variance ꮄ2. Let X1,………, Xn be a random
sample of size n from the population represented by X. Show that
defined below are unbiased estimator of µ and variance ꮄ2, respectively