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wch239,
the way i see it (and any feedback is appreciated) after looking back at the problem is that as degrees of freedom increases, the sample n increases, making the sample variance more “accurate.” this means that the sample variance approaches the population variance; not zero. that’s why the book says, “As the degrees of freedom get larger, the tdistribution approaches the normal distribution.” therefore this makes B), which says that the variance approaches zero, an incorrect statement.

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