1. Here are the numbers of sales per day that were made by a telemarketer who worked four days before being fired: 5, 12, 8, 1. Assume that samples of size 2 are randomly selected with replacement from this population of four values.

a. List all the possible samples and find the mean of each.

b. Identify the probability of each sample, then create the sampling distribution of sample means.

c. Find the mean of the sampling distribution.

2. There are five students working on a group project. The home states of the five students are: Maine, Tennessee, Virginia, Maine, and Ohio. Samples of size 2 are randomly selected from this group with replacement.

a. List all possible samples and find the proportion of students from Maine in each.

b. Identify the probability of each sample and create the sampling distribution of sample proportions.

c. Find the mean of the sampling distribution.