Stratum I, 0-200 acres N = 86 n = 14 97 42 25 A forester wants...

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Stratum I, 0-200 acres N₁ = 86 n₁ = 14 97 42 25 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 stratified 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 from I to IV. 105 27 45 53 67 125 92 86 43 59 21 Stratum II, 200-400 acres N₂ = 72 m₂ = 12 125 67 256 310 220 142 155 96 47 236 352 190 Stratum III, 400-600 acres N₂ = 52 n3=9 142 310 495 320 196 256 440 510 396 Stratum IV, over 600 acres N₁ = 30 n₁ = 5 167 220 780 655 540 Stratum I, 0-200 acres N₁ = 86 n₁ = 14 97 42 25 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 stratified 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 from I to IV. 105 27 45 53 67 125 92 86 43 59 21 Stratum II, 200-400 acres N₂ = 72 m₂ = 12 125 67 256 310 220 142 155 96 47 236 352 190 Stratum III, 400-600 acres N₂ = 52 n3=9 142 310 495 320 196 256 440 510 396 Stratum IV, over 600 acres N₁ = 30 n₁ = 5 167 220 780 655 540