Suppose we wish to estimate the number of surgeries performed in a particular state in a particular month by sampling hospitals and recording the number of surgeries performed there. The state has 10 hospitals, and the number of operating rooms at each hospital is known. x = 3, x2 = 10, x3 = 4, x4 = 4,5 = 8, x6 = 3, x7 = 7, x8 = 5, x9= 5, 10 = 6. Furthermore, we believe the relationship between the number of surgeries performed and the number of operating rooms is roughly linear. Unbeknownst to us, the number of surgeries performed in each hospital is y = 301, y2 = 1050, y3 = 410, y4 = 390, y = 815, y6 = 295, y7 = 700, ys = 516, y9 = 487,910 = 603. (a) What is the population total for the number of surgeries, Ty? (b) What is the population total for the number of operating rooms, Tr? (c) What is the population ratio of surgeries to operating rooms, r? (d) What is the approximate variance of the ratio estimator of the total number of surgeries, var(++)? (e) Suppose our sample consists of hospitals 1, 2, and 3. What is the ratio estimator of the total number of surgeries from this sample