Problem#6 (20 points). a) Consider the population (4, 6, 8}, calculate its mean (u ), variance (o?) and standard deviation( 6) . (5 points). Solution b). You randomly choose two numbers from the above population {4, 6, 8), with replacement. List all possible samples of size n=2 and calculate the mean of each (5 points). Solution c) The means (which you found above in problem (b)) form the sampling distribution of the sample means. Find the mean / variance (6,") and standard deviation of of the sample means (5 points) Solution d) Use the information given in part a), b) and c) justify that (1) He = H (1 point) Solution: (2) 0,2 = 02 (2 points) Solution: (3)0 = 0 (2 points) Solution