00:01
In this question, let me take notes the given values here.
00:03
So we have the sample 1.
00:06
So for the sample 1, the test score, i mean, the sample size here is 11.
00:11
And the variance, let's say, s1 squared, which is 24 .25.
00:16
And for the second one, the sample size is again 11.
00:20
And the standard variance for the sample here, 22 .71 here.
00:26
And the confidence level, which was given as 95%, so we can write as 0 .95.
00:31
So we have to find the confidence interval for the ratio of the variance.
00:36
First of all, let's remember the formula.
00:40
So the formula for this one, which is equal to, let me write the formula first.
00:45
So the sigma 1 squared divided by sigma 2 squared.
00:48
Sorry, this is sigma 1 and the sigma 2, which is between.
00:55
So this is s1.
00:56
Sorry, my bad.
00:57
This is s values here.
00:59
So the s1 squared divided by s2 squared.
01:02
And the f value, alpha over 2 times.
01:06
This is v2 and v1.
01:08
And for the lower boundary, this is s1 squared divided by s2 squared.
01:12
And times, this is 1 over, which is f alpha over 2.
01:17
And then v1 and v2 here.
01:19
Let's get the alpha value first.
01:21
So the alpha is 1 minus confidence level.
01:24
I need the alpha over 2.
01:25
This is 1 minus 0 .95 and divide by 2, which is 0 .025...