00:01
So in this question letter a, we need to find the critical values, assuming that the population variances are equal.
00:07
So when we say that the population variances are equal, this means that this will affect the number of the degrees of freedom that we should consider when computing these critical values.
00:20
So basically, when we have this specific situation, which says that the variances are equal, this means here that the degrees of freedom for the t student is the sum of the sample sizes minus two.
00:36
So in our case, here will be 24.
00:39
In the critical values here, we just have one.
00:43
Why? because our alternative is mu 1 is greater than mu 2.
00:49
So because we have this greater sign, we just need to find one critical value.
00:54
And because this is greater, this means that we are going to find the critical value which is in the right side of the t student, which means that would be positive.
01:07
Because in the t student, the middle is equal to zero.
01:10
And this critical value will be in the right side of zero, which is a positive number.
01:17
So basically, the critical value i said we will just have one because this is a, because of this sign, we also call this as one -sided or one tail test.
01:30
And this critical value is given by, in this case, since you are considering the alpha is 0 .10, this means that this area here is 0 .10...