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[See Solution] Does (a) or (b) yield a more precise estimator of μ ? The sample mean of a sample of size n from a population with mean μ and variance σ^2

Question: Does (a) or (b) yield a more precise estimator of \(\mu\) ?

  1. The sample mean of a sample of size \(n\) from a population with mean \(\mu\) and variance \(\sigma^{2}\)
  2. The sample mean of a sample of size $3 n$ from a population with mean \(\mu\) and variance \(2 \sigma^{2}\)
  3. How large would the sample in (b) have to be in order to match the precision of the estimator in (a)?

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