00:01
In this question, you look at a clinical psychologist, and he wanted to examine the relative effectiveness of cognitive, right, behavioral therapy and behavioral therapy.
00:13
And so to do that, he took the sample of 20 depression patients, right? and the pain of them, he gave, he prescribed the cbt therapy while the other 10, he prescribed bt therapy.
00:28
And the results are described in some numbers, which i would like to copy down here.
00:35
So it's something like this.
00:36
So these are the numbers according to the question.
00:40
It's given here.
00:42
So if you look at these numbers, you ask to, and you look at these numbers and you ask to test whether one method is better than at alpha equals 0 .05 significance level.
01:01
So basically what you need to do, of course, is to first you need to work out the average and work out the sample average and also sample standard deviation, right? so for this first case, i will call it sample average.
01:17
I'll call it x1 average and the standard deviation i will call it s1, right? and for the second group, i will call it the sample average called x2 and the sample standard deviation could add s2 right and this can of course be easily worked out right so for example the x1 average of course simply given by you just sum over all of these numbers you know four plus eight plus all the way plus two eight and divided by 10 right and similarly you can work out x2 average which is simply divided by 10 and three plus five and plus all the way to seven and then you can also of course work out the standard sample stand division is 1, which is just given by 4 squared plus 8 squared plus all the way to all the number squared and divided by 10 and minus the sample average squared, right? and of course, you need to take the square load.
02:16
And in a very similar way, you can work out at the standard sample division for s2, right, that is given by 3 squared plus, 5 squared plus, all the way to 7 squared and divided by 10 and minus x, to s2 squared...