There is a population of five people: Amy, Brianna, Carlos, Darius, & Eirik. [Note: this is a population, not a sample.] They are asked how many hours they studied last month. Amy studied 10 hours, Brianna studied 22 hours, Carlos studied 18 hours, Darius studied 26 hours, and Eirik studied4 hours. We are too lazy to poll the entire population, so we take a sample of two (with replacement and order matters):

If we increased the sample size to four (instead of two), what would the mean of the sampling distribution of the mean equal?

On a certain rural fence, the number of birds sitting on the fence is nine per mile. What is the standard deviation for the number of birds sitting on the fence per mile? Assume the distribution is a Poisson distribution. Explain your work and how you got your answer.