00:01
Hey there, welcome to numerade.
00:03
So what we are given here are the critical values under a normally distributed curve.
00:12
And we are giving parts a to d the t score value.
00:17
So basically our decision rule here is when our t score is less than negative 2 .105, which is given in the curve here.
00:35
I'm going just a little bit outwards.
00:47
All right.
00:57
And it's greater than positive 2 .105.
01:02
Then this would mean we are going to reject the normal hypothesis.
01:12
Vice versa, whenever we have the t score being greater than negative 2 .05 or less than 2 .05, then this will fail to reject a null hypothesis.
01:33
All right.
01:45
So these two are our decision rules.
01:49
So let's start with part a.
01:52
So for part a, we have t equals negative 2 .116.
02:03
Negative 2 .116.
02:06
Therefore, you can see the negative 2 .116 is not inside the interval.
02:13
It's actually less than the negative 2 .105.
02:18
So therefore, what we're going to do is reject the null hypothesis because the t score is less than negative 2 .105.
02:47
Okay? based on our decision rule above...