1.What is a"sampling distribution" of the sample mean,x-bar?Explain.

2. Is x-bar (sample mean mentioned in #1) a random variable? Why do you think/not think so?

3.In chapter 8, we learned the standard error of the mean( readsigmax-barin denotation) or standard deviation of the sample mean.Let's say the size(n) of the sample collected fromaninfinite population is greater than 1.

Compare "thestandard error of the mean "with"the standard deviation of X, population ".Which is smaller?Why?Explain conceptually or/and algebraically.Think of the formula for the Standard error of the mean (sigmax-bar).