Question

a. X is distributed as a Normal random variable, with a mean of 100 and a standard deviation of 20. You're considering taking a random sample of 1000 Xs, and calculating the sample mean Xbar. Of course, different random samples would give you different numbers. What is the standard deviation of all of the possible different Xbars you could have calculated? (Please report your answer to two decimal places, such as 5.67.)

b. X is distributed as a Normal random variable, with a mean of 100 and a standard deviation of 20. You're considering taking a random sample of two Xs (a really small sample) and calculating the sample mean Xbar. Of course, different random samples would give you different numbers. What is the standard deviation of all of the possible different Xbars you could have calculated? (Please report your answer to two decimal places, such as 5.67.)

Answer 1