A random sample of n = 4 scores is selected from a population with mean (mu) = 80 and population standard deviation (sigma) = 20. On average, how much difference would you expect between the sample mean and the population mean? (i.e., What is the standard error of a sampling distribution composed of means taken from samples of size 4?)

Answer: 10Step-by-step explanation:The formula used for standard error is :-[tex]\sigma_x=\dfrac{\sigma}{\sqrt{n}}[/tex], where [tex]\sigma[/tex] is population standard deviation and n is the sample size.Given: n = 4[tex]\sigma=20[/tex]Then, the  difference would expected between the sample mean and the population mean will be :[tex]\sigma_x=\dfrac{20}{\sqrt{4}}=\dfrac{20}{2}=10[/tex]Hence, the expected difference between the sample mean and the population mean = 10