Question: The distribution of SAT scores is normal with \(\bar{X}=500\) and \(\sigma =100\)

a. If you selected a random sample of n = 4 scores from the population, how much error would you expect between the sample mean and the population mean?

b. If you selected a random sample of n = 25 scores from this population, how much error would you expect between the sample mean and the population mean?

c. If you selected a random sample of n = 100 scores from this population, how much error would you expect between the sample mean and the population mean?