00:01
Which of these statements about the sampling distribution of the sample mean is incorrect? okay, so we have four statements.
00:08
First, what do we mean by the distribution of the sample mean? well, you have some distribution here.
00:16
Doesn't matter what, i'm going to just have this, and you take samples from it.
00:22
If you have a large enough sample size, then the sample means will be approximately normally distributed.
00:32
So you have sample size n, and you take that from a population.
00:37
So this is the population distribution, and the mean would be maybe here somewhere, mu.
00:45
I'll just say it's this line.
00:48
So looking at part a, what's the mean of a sampling distribution? well, this is a true statement.
00:53
It is the same as the original distribution.
00:56
Because there's no reason it should skew either way.
00:59
If you're taking a lot of samples, some will have a mean a little bit above the population mean, some a little bit below, but on average they'll have the same mean.
01:11
The mean of the means is equal to me.
01:15
Next being the sampling distribution.
01:18
You take samples of size n, you find the sample mean...