00:01
Let's say we have a population, and we know that mean is 7 .1.
00:05
The standard deviation is 1 .2.
00:07
And we want to find the range of the middle 68%, both in the population and in a sample size of 50.
00:15
So let's start with the population first.
00:18
So if we draw a normal distribution, we have what's called the empirical rule.
00:25
And that basically says if our mean is in the middle, then the middle 68%.
00:31
Is going to be within one standard deviation of the mean.
00:35
So this is u minus one standard deviation.
00:39
This is u plus one standard deviation.
00:43
That this is going to be six to middle 68%.
00:48
So because we know that our mean is 7 .1, then that means that this is going to be 7 .1 minus our standard deviation of 1 .2.
01:00
And this is going to be 7 .1 plus our standard deviation of a 1 .2.
01:07
So that means that our range is going to be from 5 .9 to 8 .3.
01:13
This is our upper and lower balance for 68 % of the data in the population...