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In: Statistics and Probability

A researcher has a strange habit to use a sample size between √? 3(Cube root of...

A researcher has a strange habit to use a sample size between √? 3(Cube root of N) and √? 2(Square root of N) , where ? is the size of the population that she investigates. Under what circumstances, do you suggest her to use a correction factor for the variance of the sampling distribution while estimating a confidence interval for the population mean? What if she does not take your suggestion seriously? Describe the potential problems involved.

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