Question 2 [7 mark] Suppose we get interested in My, the average tourism expense of a family in a targeted population with size N ~ co. Since tourism expense relates to family income, we let the latter be the auxiliary variable and find the average income of a family in the targeted population is #x = 200. Now we randomly sample n = 2 families without replacement and find their incomes and tourism expenses as in the table. Family Income Tourism Expense A 50 0 B 100 1.5 Part 1 [2 mark] In this part, we don't use the information on family income and only use the information on tourism expense. a) [1 mark] What's the value of the simple random sampling estimator of My? b) [1 mark] What's the estimated variance of the simple random sampling estimator of My? Part 2 [2 mark] In this part, we use the ratio estimator to estimate ly. c) [1 mark] What's the value of the ratio estimator of My? d) [1 mark] What's the estimated variance of the ratio estimator of My? Part 3 [2 mark] In this part, we use the regression estimator to estimate My. e) [1 mark] What's the value of the regression estimator of My? f) [1 mark] What's the estimated variance of the regression estimator of My?Part 4 [1 mark] g) [1 mark] Assume in all of b), (i), and f), the estimated variance is a good approximation of the true variance of the corresponding estimators of y. In this case, compare Part 1, Part 2, and Part 3. Which of the simple random sampling estimator, ratio estimator, and regression estimator is the best? 1Which of them is the second best