Ch. 7.2 (Distribution Of The Sample Mean And The Central Limit Theorem)

Question 1

Sampling Distribution of the Sample Mean

Answer 1

The distribution of all possible sample means (or the distribution of the variable x bar), with all samplings having the same sample size n taken from the same population.

Question 2

Central Limit Theorem

Answer 2

For all sampling distributions of the same size n with n > 30, the sampling distribution of x bar can be approximated by a normal distribution with mean u and a standard deviation o/square root n

Question 3

How big must n be for x bar to be normal?

Answer 3

X bar is normal when sampling from a normal population