Problem 2. By using R function generate a simple and random sample of size n for the population X ~N(2, 32). 3/n (i) Let n = 20, compute X-2 and (n-1)52. Then, repeat (i) for 100 times X-2 and (n-1) 32 , respectively. and plot 32/n X-2 (ii) For n = 30, repeat (i) for 100 times and plot 2 and (n-1), respec- 32/n 32 tively. (iii) For n = 50, repeat (i) for 100 times and plot and (n-1)s, X-2 32/n , respec- tively. (iv) Based on the plots in (i), (ii) and (iii) describe your findings on and (n-1)s X-2 32/n