2. Textbook Exercise 5.11: The study in Exercise 5.10 (to estimate total acres) is to be made yearly, with the bound on the error of estimation of 5000 acres... Calculate both n and ni. Here are historical statistics for the strata: Variable Mean SE Mean StDev Variance 0-200 acres 63.36 8.75 32.74 1071.79 200-400 acres 183.00 27.47 95.15 9054.18 400-600 acres 340.56 43.20 129.59 16794.28 600+ acres 472.40 120.31 269.03 72376.305.10 A forester wants to estimate the total number of farm acres planted with trees for a state. Because the number of acres of trees varies considerably with the size of the farm, he decides to stratify on farm sizes. The 240 farms in the state are placed in one of four categories according to size. A stratied random sample of 40 farms, selected by using proportional allocation, yields the results shown in the accompanying table on number of acres planted in trees. Estimate the total number of acres of trees on farms in the state, and place a bound on the error of estimation. Graph the data on an appropriate plot and comment on the variation as we move Jfrom I to IV. Stratum 1, 0200 acres N 1 = 86 111 = 14 97 67 42 125 25 92 105 86 27 43 45 59 53 21 Stratum II, 200400 acres N2 = 72 :12 = 12 125 155 67 96 256 47 310 236 220 352 142 190 Stratum III, 400600 acres N3 = 52 :13 = 9 142 256 310 440I 495 510| 320 396 196 Stratum IV, over 600 acres N4 = 30 r14 = 5 167 655 220 540 780 5.11 The study in Exercise 5.10 is to be made yearly, with the bound on the error of estima- tion of 5000 acres. Find an approximate sample size to achieve this bound if Neyman allocation is used. Use the data in Exercise 5.10