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Question: In a survey of students at a large university, graduate students and undergraduates are to be surveyed separately. A simple random sample of 100 of the 4000 graduate students is planned. Because there are 8 times as many under-graduates, does the sample size for the undergraduate survey need to be 800 to get the same accuracy as in the graduate student survey? You may assume that the SDs for the two groups of students are the same.

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