Question: A sampling paradox? Example 5.19 compares two SRSsof a universitys undergraduate and graduate students. Th e sample of undergraduates contains a smaller fraction of the
A sampling paradox? Example 5.19 compares two SRSs—of a university’s undergraduate and graduate students. Th e sample of undergraduates contains a smaller fraction of the population, 1 out of 90, versus 1 out of 15 for graduate students. Yet sampling 1 out of 90 undergraduates gives a smaller margin of error than sampling 1 out of 15 graduate students. Explain to someone who knows no statistics why this happens.
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