guppose there is a population with population size N = 3. The variable of interest is the salary (X) of individuals. The values of X are 13, 20 and 22 (in thousand dollars). a) Find the mean (u) and standard deviation (o) for the population distribution. In the process of developing sampling distribution, all possible samples (taken with replacement) of size n = 2 are obtained. The sample mean (X ) is considered as the sample statistic. b) What are the possible values of this sample mean random variable? Develop the probability distribution of the sample mean. c) Show that the sample statistic f is an unbiased estimator of p. d) Denote \"'1' the standard deviation of f , verify the following relationship: 5': = i . 4,: e) Does the sampling distribution of f follows a Normal Distribution? Explain