1. N = 8 different items are within a population. If we wish to select a sample of size n = 3, how many ways are there of sampling? What is the probability that any one sample will be chosen? What is the probability that any one item will be in the sample?
2. Suppose that a population variable X has the values 1, 2, 3, 4, 5, and 6. Determine the sampling distribution of the mean for samples of size n = 2.
What is its mean and standard deviation? Repeat this exercise for n = 3 and compare your results.