Ononot — A researcher uses ratio estimation to estimate the populatio

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Data Collectionhard

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A researcher uses ratio estimation to estimate the population total $Y$ given $\bar{y}=45$ , $\bar{x}=30$ , and a known population mean $\bar{X}=50$ . If the population size $N=1000$ , what is the estimated population total $\hat{Y}_R$ ?