STA 3U4H1F1003H Wnter 2020 Assignment 2-Question 1 Question 1. {15 marks} Consider a population of E student given in the table below. We want to select a stratied sampling of size 4L with a SR5 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 TU Score 33 82 Tl [a] {2 marks} Find the values of a1 and Jag? {b} {2 marks} Find the values of of and 41%? {c} {2 marks} What are the Vl' of V91} and VH3}? {d} {2 marks} What are the values of VHS\") and Erma\")? e.g. t, means the estimate of 1- from stratied RS. (e) {3 marks} How many stratied random samples {RSs] are possible? List the possible stratied ESs. {f} {2 marks} For each stratied sample? calculate ii and F. {g} {2 marks} Use the sampling distribution of E and 4? to verify that ii, and ih are an unbiased estimator of ,u, and 1'