00:01
Hi for this problem, we use sampling distribution to solve the answer.
00:07
Since we know what the true population standard deviation is, we do not have to use a t distribution.
00:13
We can just use a z1.
00:16
So first, we want to find the z -distribute, z score for this sample mean.
00:22
We see that the sample mean is also equal to the population mean, so the z score for that is automatically same.
00:28
You don't have to do much math on it.
00:29
Next one to find a z score for this.
00:32
The z score has this formula.
00:39
So you plug numbers in.
00:51
Plug into the calculator, you will find the z score.
00:57
The tops will be 0 .4 and the bottom should be.
01:10
So we have a z score of 1 .34.
01:15
So we wrap that on a normal distribution...