Sampling Techniques

6. [Level of clitcult'vr for this problem may be higher than others] Consider a population {(1 1, 2, 3, 4, 5} of six units {N : 6} divided into two stratums as below: Independent SRSWDR samples of size 2 each [1'11 2 2 , 71.2 = 2} are drawn from the two stratums. a] Calculate the population mean it and stratum variances of and or}; b] List all possible stratified samples. List all possible stratified sample means 375: along with its probability,' distribution; c} Using the probability distribution of f5: derived in [b) above, show that Est) : ,u and