00:01
Okay, so in this question we're given an alternative hypothesis that we have two means that are not equal to each other and we have an alpha equal to 0 .2 and 1 equals 18 and then 2 equals 8.
00:16
So first thing we have to know is that this is going to be a two sample t -test.
00:22
We can tell that because we have, you know, two different sample sizes, n1 and n2.
00:28
This is a two -sided test because of this not equal to sign right here, which means that when i get my distribution here, the p -value is going to come from both sides right here and the shaded areas added together should equal the alpha which is 0 .2, right? which means that we have 0 .1 in each of the tails here and 80 % here in the middle, right? so we're looking for tail areas equal to 0 .1 and we need the correct degrees of freedom which for two sample t is the sample sizes added together and then subtract 2, okay? so in this case, that's going to be 18 plus 8 which is 26 minus 2 which is 24.
01:23
So we've got 24 degrees of freedom.
01:26
We're looking for tail areas equal to 0 .1.
01:28
So now i just look on my t -table...