00:01
Here we are asked which of the following is an incorrect statement.
00:04
A says the sampling distribution has a mean equal to the population mean, even if the population is not normally distributed.
00:13
This statement is actually true.
00:16
The sample mean is an unbiased estimator for the population mean.
00:21
So the mean of sample means is equal to the population mean.
00:26
Now for statement b, the font didn't quite come out correctly.
00:30
It says a sampling distribution of, you see me we're talking about sample means as a standard deviation, even if the population is not normally distributed.
00:40
So let's just leave that one for a second and see what else we can narrow out from the other options.
00:45
C says the sampling distribution is normal.
00:49
Sampling distribution of sample means is normal if the population has a normal distribution.
00:54
This is a true statement.
00:58
If the population is normally distributed, that means that sample means are also normal...