[Steps Shown] A population has a mean of μ=80 and a standard deviation of σ=10. If you selected a random sample of n=4 scores from this population,


Question: A population has a mean of \(\mu=80\) and a standard deviation of \(\sigma=10\).

  1. If you selected a random sample of \(\mathrm{n}=4\) scores from this population, how much error would you expect between the sample mean and the population mean?
  2. If you selected a random sample of \(\mathrm{n}=25\) scores, how much error would you expect between the sample mean and the population mean?
  3. How much error would you expect for a sample of \(\mathrm{n}=100\) scores?
  4. In which case does the sample mean provide a better estimate of the population mean? Explain.

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