1. You will need to use the following information for many questions. It will be repeated for each question. There is a population of four people: Amy, Ben, Clara, and Donna [Note: this is a population, not a sample] They are asked how old they are. Amy is 26 years-old, Ben is 13 years-old, Clara is 13 years-old, and Donna is 30 years-old. We are too lazy to poll the entire population, so we take a sample of two people {with replacement and order matters}. Please draw the sampling distribution of the mean of a sample of size two. Unlike some practice tests, you will not be asked to draw the sampling distribution in any question, but it will proye helpful if you do it for yourself in order to answer the questions. At no point am | asking you to post an image of the distribution. 1What is the probability that the mean of the sampling distribution equals the mean of the population? Explain how you know this