Question 1. (15 marks) Consider a population of 6 student given in the table below. We want to select a stratied sampling of size 4 with a SRS of size 2 taken from each of the two strata. stratum 1 stratum 2 Student 1 2 3 Student 4 5 6 Score 66 59 70 Score 83 82 71 (a) (2 marks) Find the values of H1 and #2? (b) (2 marks) Find the values of 0% and 0%? (c) (2 marks) What are the values of V(?1) and V62)? (d) (2 marks) What are the values of V625") and V(stT)? e.g. t, means the estimate of 7' from stratied RS. (e) (3 marks) How many stratied random samples (RSs) are possible? List the possible stratied RSs. (f) (2 marks) For each stratied sample, calculate and f (g) (2 marks) Use the sampling distribution of IE and ? to verify that IE and 7': are an unbiased estimator of ,u and 7