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Question: Two populations are surveyed with simple random samples. A sample of size n1 is used for population I, which has a population standard deviation σ1; a sample of size n2 = 2n1 is used for population II, which has a population standard deviation σ2 = 2σ1. Ignoring finite population corrections, in which of the two samples would you expect the estimate of the population mean to be more accurate?

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