1.) Take all possible samples of size n from a population. Find the sample mean (x-bar) from each sample. Put all these sample means together. What is the result?

Group of answer choices

A.) The sampling distribution of X-bar

B.) None of the other choices is correct

C.) The population distribution of X-bar

D.) The probability distribution of X-bar

2.) Suppose n > 1. Then the standard error of X-bar is __________ the standard deviation of X. Choose the best answer.

Group of answer choices

A.) >

B.) >=

C.) =

D.) <

E.) <=

3.) Suppose cereal box weights have a normal distribution with mean 28 oz and standard deviation 2 oz. Which is LARGER, the probability that one box weighs more than 27.5 ounces or the probability that the average of 49 boxes weighs more than 27.5 ounces? Calculations not required. Draw a picture.

Group of answer choices

A.) P(X-bar > 27.5) is larger

B.) the probabilities are equal

C.) P(X > 27.5) is larger