00:01
All right, we're going to find the critical values for a 95 % confidence interval using the kye squared distribution of 22 degrees of freedom.
00:10
And we're going to go to three decimal places.
00:12
So in the in a confidence interval, this is one that's used for the standard deviation.
00:22
The kai squared value we're concerned that this is down here, down here.
00:27
And we have the, it's a 95 % confidence interval, which means we are 90 % confidence interval, which means we are 90 % 55 % confident that we've captured the true parameter in here within this range.
00:41
Here's the lower in the upper bound.
00:43
However, that means we are, we're acknowledging there's some, you know, 5 % that we're, we could be wrong about.
00:55
So that leaves two and a half on the right of our interval and then two and a half percent on the left of the interval.
01:01
So that's why we see 0 .05 over two.
01:08
And we do a little, i use the spreadsheet to give me the values, and here they are.
01:15
So what you do is you put in the alpha, which is the 0 .025 and degrees of freedom, which is 22.
01:21
And for the lower bound, we get 36 .78.
01:26
We should round it to three.
01:27
So this is going to be 36 .781.
01:39
And then the upper, you do the same thing except it's going to be one minus the .025, which is going to correspond with .975.
01:54
And that value is 10 .982.
02:00
Just to give you a visual of this, what's happening.
02:03
Chi squared distribution is skewed to the right...