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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose that x1 and x2 are random samples of observations from a population with mean μ and variance σ2.Consider the following three point estimators,X,Y,and Z,of μ: X = (x1 + x2)/2,Y = (x1 + 3x2)/4,and Z = (x1 + 2x2)/3.
-Find the relative efficiency of X with respect to each of the other two estimators Y and Z.
Cash Income
Income received in the form of money as opposed to in-kind benefits or services, often considered for taxation and reporting purposes.
Official Poverty Line
A government-determined threshold of income used to measure and identify the population that lives in poverty, often adjusted for inflation and family size.
Department of Agriculture
A government agency responsible for developing and executing federal laws related to farming, forestry, rural economic development, and food.
Government Transfer Program
A system where the government redistributes income, often to support the poor, elderly, or unemployed, through benefits or subsidies.
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