Expected value of Sampling Distribution
Consider the following population of ten scores: 4,4,4,5,5,6,6,8,9,9.
What is the expected value of the sampling distribution of the mean for n =3, when drawing from this population of scores? What is the Standard Error?
Regardless of the shape of the population from which we are sampling, the sampling distribution of the sample mean will have a mean μ equal to the mean of the population from which we are sampling, and a standard deviation equal to σ/ sqrt(n) which equals the standard error (SE).
Therefore μ = (4*3+5*2+6*2+8+9*2)/10 = 6 and then σ = 1.89737, n=3 => SE = 1.09545
Any help is appreciated