00:02
So if i'm taking a distribution that has a mean of 528 and a standard deviation of 36, then when i take samples of size 81, and i want to talk about the sampling, the mean of the sample being greater than 533, i need to think about what the sampling distribution looks like of samples of size 81.
00:22
So the sampling distribution is going to have the same mean of the population, which is 528.
00:27
The standard deviation of the sampling distribution is going to be equal to the standard deviation of the the population divided by the square root of the sample size, which is going to give me 36 over 9, which is 4.
00:39
So the standard deviation of my sampling distribution is 4, which means one standard deviation to the right is going to be 532.
00:48
Another standard deviation to the right is going to be 536, and the third standard deviation to the right is going to be 540.
00:56
And then doing one, two, and three standard deviations to the left.
01:00
This is going to give me 524, 520, and 516...