Suppose you use the sample mean Y to estimate the population mean E(Y₂): μ. Further, suppose that your sample and the population satisfy assumptions CR1-CR3. Then, due to a computer glitch, you lose all = observations in which Y;

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose you use the sample mean Y to estimate the population mean
E(Y;) = μ. Further, suppose that your sample and the population satisfy
assumptions CR1-CR3. Then, due to a computer glitch, you lose all
observations in which Y; <Y. Will the sample mean (using your reduced
sample) still be an unbiased estimator of the population mean? Choose the
best answer.
O Maybe. It depends on how the data were sorted.
O No, since our sample is no longer representative of our population.
Yes.
O No, since our sample is now smaller than before.
Transcribed Image Text:Suppose you use the sample mean Y to estimate the population mean E(Y;) = μ. Further, suppose that your sample and the population satisfy assumptions CR1-CR3. Then, due to a computer glitch, you lose all observations in which Y; <Y. Will the sample mean (using your reduced sample) still be an unbiased estimator of the population mean? Choose the best answer. O Maybe. It depends on how the data were sorted. O No, since our sample is no longer representative of our population. Yes. O No, since our sample is now smaller than before.
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