00:01
So here we want to construct a 95 % confidence interval for the mean difference.
00:09
So for mu1 minus mu2.
00:13
And we have to assume that the two population variants are equal.
00:19
So sigma1 is sigma2.
00:22
That means we're going to use a pooled standard deviation, which is going to be...
00:29
Let's see here...
00:30
We have s1 is 7, we have n1 is equal to 9, we have s2 equal to 6, and n2 is equal to 14.
00:46
So our pooled standard deviation is going to be the square root of n minus 1, which is 8, times s1 squared, 7 squared, plus n2 minus 1, which is 13, times s2 squared, which is 6 squared.
01:07
And we're going to divide that all by n1 plus n2, which is 23 minus 1, so divided by 21.
01:18
So our pooled standard deviation is going to be...
01:23
Let's see here...
01:24
Square root of 8 times 49, plus 13 times 36...