00:01
The following is a solution video to number 26, which is two sample t test comparing mean, time loss in the workforce with stressors and intimidators.
00:10
And you just got to be really careful here.
00:12
The only kind of weird thing is they kind of switch up the order on you.
00:17
So x1 represents the intimidators, and then x2 represents the stressors.
00:27
And we want to see if the stressors, so i'm actually going to write that down.
00:30
So this is intimidators and this is stressors.
00:35
Okay, so it says, is there enough evidence to suggest that the stressor is greater than the intimidator? so keeping that in mind, we're going to write less than.
00:44
So mu 1 is less than mu 2, even though it says greater than, but the order is just switched, if that makes sense.
00:52
So the greater than in this case means less than for our alternative since the order is opposite.
00:58
Okay, so the first part of this is just verifying that these means and the same.
01:02
Standard deviations are 4 and 2 .38 for intimidators and then 5 .5 and 2 .78 for stressors.
01:09
So i went ahead and it says you use a calculator.
01:11
So i'm using the ti84.
01:12
And if you go to stat and then edit, here are the lists.
01:16
So l1 is the intimidator and then l2 is the stressor.
01:19
So if you go back to stat, arrow over to calc and then it's one of our stats, we can change that to l1.
01:27
And this will be the 4 and the 2 .38 that was over here.
01:31
So 4 and 2 .2.
01:33
And then go back to stats, calc, one bar stats, change that to l2, calculate, and that's where we get the 5 .5 and the 2 .78.
01:43
So 5 .5 and 2 .78.
01:45
So we verified that that is the way to do it.
01:49
So then the second part of it is to kind of sort of not formally conduct a hypothesis test, but essentially come up with the conclusion here.
01:57
And it is going to be a two sample t test.
01:58
And we're going to use the calculator since we already have the data input anyway.
02:01
So it's two sample t test where the alpha is .05, and the alternative, we already talked about it, the alternative is less than, not greater than, but less than.
02:10
So if you go back to stat, and then we're going to arrow over to tests, and it's the fourth one down, it's the t test, two sample t test, because we don't know the standard deviation for the population.
02:19
We don't know sigma...