Explain what the standard error of the mean represents and

Question

Q3) The standard error of the mean is given by the formula:

                                    σ_x' = σ /√n

a) Explain what the standard error of the mean represents.

b) Is it possible for the standard error of the mean to be zero? Explain your answer.

c) Does the sampling distribution of x look like a Normal distribution if n is 10?

d) As n increases, what happens to the population variance σ² ?