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Data Collectionhard
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A researcher uses Ratio Estimation to estimate a population total YYY using a known auxiliary variable XXX. If yˉ=50,xˉ=25,Xˉ=30\bar{y} = 50, \bar{x} = 25, \bar{X} = 30yˉ​=50,xˉ=25,Xˉ=30, and N=1000N = 1000N=1000, what is the estimated population total Y^R\hat{Y}_RY^R​?