Suppose that we will take a random sample of size n from a population having mean and standard deviation s. For each of the

Suppose that we will take a random sample of size n from a population having mean µ and standard deviation s. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean x̅

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 = 1 n = 1,600