Suppose that we will take a random sample of size n from population having mean fx and standard deviation a. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean x:
a. μ = 10, σ = 2, n = 25
b. μ = 500, σ = .5, n = 100
c. μ = 3, σ = .1, n = 4
d. μ ± = 100, σ = l, n = 1,600