00:01
Okay, so we're going to find the 95 % confidence interval, 95, right? yes, okay, 95 % confidence interval, the mean change of ldl cholesterol levels before and after garlic tablets.
00:16
And i'm going to put it up here.
00:18
They did the before scores minus the after scores.
00:24
And since we want the ldl to go down, that means that we're looking for.
00:31
Positive numbers, right? because the before will be bigger than the after if it works.
00:38
If it doesn't work, then we'll have negative numbers.
00:42
This is our formula.
00:44
Statistics plus or minus critical value times standard error.
00:48
So what do all those mean? well, we're finding the confidence interval for the mean.
00:53
So the statistic we're using in this case is the mean.
00:57
The critical value, since we're dealing with the mean is going to be the t star we're going to use the t distribution and then the standard error is going to be the standard deviation divided by the sample size the square root of the sample size okay so let's fill in some lengths 5 .6 plus or minus we'll leave the t star for now and then 19 .2 divided by the square root of 42.
01:37
Okay, so now we just need the t star.
01:40
In order to find the t star, we have to go to our degrees of freedom.
01:47
Do 42 minus one.
01:51
Sample size minus one is our degrees of freedom.
01:56
And you find those degrees of freedom on the t table.
02:00
So this is part of the t -table.
02:03
I cut it off here.
02:05
Degrees of freedom are down this column.
02:09
And then along the bottom is our confidence level.
02:12
So in order to figure out which t distribution to use, i need to know the degrees of freedom and the confidence level.
02:23
All right.
02:24
So, 41.
02:26
I look down my list.
02:28
There's no 41.
02:30
What to do now? if it's not on the list, that does not mean we give up and go home.
02:39
We always round down.
02:42
So we go from 41 and we're going to round down to 40.
02:47
If we had 49, we'd still round down to 40.
02:51
Okay? otherwise, we're not going to get the right margin of error.
02:55
And then we're doing a 95 % confidence interval...