1. Suppose that we will randomly select a sample of four measurements from a larger population of measurements. The sampling distribution of the sample mean x is the probability distribution of a population. In your own words, describe the elements in this population.

2. What does the Central Limit Theorem tell us about the sampling distribution of the sample mean?

METHODS AND APPLICATIONS

3. Suppose that we will take a random sample of size n from a population having mean m 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 x:

a. m = 10, s = 2, n = 25

b. m = 500, s = .5, n = 100

c. m = 3, s = .1, n = 4

d. m = 100, s = 1, n = 1,600