Consider the population of N: 5 objects {1, 2, 3, 4. 5} 1. Find the population mean a\" 2. Find the population std. deviation 0 3. Take (with replacement) samples of size n=2 from the above population. (1.1) (1,2) (1.3) (1,4) (1.5) (2,1) (2,2) ........... a. How many such samples are possible? b. List all the i '5, Le. the means of all these samples of size 2 c. Find the mean of these means. is. E() d. Is E(X)= p? e. Find the standard erroraUQ, i.e. the std. deviation of all these means 00!) f. Show that the standard error equals 000 J; 06?) =