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A. We discussed the following problem in class. Suppose that in an SRS of size 250 from the Census of Agriculture with N = 3078
A. We discussed the following problem in class. Suppose that in an SRS of size 250 from the Census of Agriculture with N = 3078 counties, 35 counties are in the West with the sample total number of acres devoted to farming in the West being 20,000,000. Suppose that a total of 550 counties are in the West. 1. Your estimated average number of acres per county devoted to farming in the West (domain mean) is closest to: a) 33,000 b) 119,000 c) 571,000 d) 602,000 e) 798,000 2. Given the following two statements: (i) your estimate above is not a ratio estimate; (ii) the coefficient of variation is the same for both the population mean estimation and the population total estimation, you agree with: a) both (i) and (ii) b) (i) but not (ii) c) (ii) but not (i) d) neither (i) nor (ii) e) not conclusive 3. Conditional on the observed 35 counties, the sample standard deviation is found to be 300,000. Then the margin of error of your estimate above is closest to: a) 39,000 b) 48,000 c) 51,000 d) 69,000 e) 94,000 4. The observation unit in the SRS of size 250 from the population of 3078 counties is: a) county b) farm c) acre d) acre devoted to e) acre not devoted to farming farming 5. Your estimated total number of acres devoted to farming in the West is closest to: a) 181,000,000 b) 223,000,000 c) 273,000,000 d) 314,000,000 e) 800,000,000
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