00:01
So in this question, you want to find the confidence into first for the population variance and then for the standard variation.
00:08
So the formula that we're going to use for the first one, the variance, is m minus 1, times the sample variance divided by a, what we call critical value in the quai square distribution.
00:23
And this critical value is the one that is in the upper side, and i'm going to explain.
00:27
This is the lower bound for the confidence interval for the variance.
00:32
Then the upper bound, if i said that this is the low, if i said that this he is the upper bound, i was mistaken is the lower bound.
00:43
Then we repeat the same thing, but the critical value here is in the lower part of the kai square distribution.
00:52
So we should find, because we want to be 99 % confident, these two values.
00:58
This one here is the low.
01:00
Value and this is the upper, okay, because one is in the left and the other one is in the right.
01:06
And because we want to be 99 % confident, this means that i still have from out of this 1 % left.
01:13
So this is what we call the level significance, and we are going to divide equally this level of significance between these two areas, which means that this is going to be 0 .5 % and this 0 .5 % as well...