Understanding the sampling distribution is important as to except the concept of various possible samples, the mean, and also the population involved. Please help to better interpret the answers to these questions to gain a better concept of what is going on.

19. Sampling Distribution. A quarterback threw 1 interception in his first game, 2 interceptions in his second game, and 5 inter- ceptions in his third game, and then he retired. Consider the values 1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population. a. List the 9 different possible samples, and find the mean of each sample. b. What is the mean of the sample means from part (a)? c. Is the mean of the sampling distribution from part (b) equal to the mean of the population of the three listed values? Are those means always equal