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Please help me for these questions, thank you. Consider a population that has N=4 units. Data on two variables Y (variable of interest) and X
Please help me for these questions, thank you.
Consider a population that has N=4 units. Data on two variables Y (variable of interest) and X (auxiliary variable) are recorded for all the units in the population and summarized below: Unit | 1 2 3 4 X 67 63 66 69 Y 68 62 64 70 Using the data: t, = 265,t, = 264, S} = 6.25, 57 = 13.33. 1. Consider all possible simple random samples of size 2 from this population. Find #s and y,, for each of these samples. Be sure to use sample specific B to calculate y,,. Also, keep the values of g, to 3 or more decimal places. Sample | Units | 95 Yyr 1 1.2 2 1.3 3 14 4 2,3 D 2.4 6 3,4 2. Find the expected value of s and g, using the values calculated in part (a). Use this to calculate the bias for both estimators. 3. Find the variance of ys and y,, using the values calculated in part (a). (Think about which formula would be the easiest to get the answer)Step by Step Solution
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