00:01
Hello.
00:03
So let's see how you can get the critical values of t.
00:05
Okay, so for a, confidence air ball is 90 % our sample size is 17.
00:19
So to get our critical value of t, we get that at alpha over 2 and our degree of freedom.
00:28
So the degree of freedom is n minus 1, 17 minus 1, that's 16.
00:39
So to get alpha over 2, we need to get alpha, which is 1 minus our confidence interval.
00:45
So then 1 minus 0 .9, we're 0 .1.
00:50
So alpha over 2 is 0 .05.
00:57
So now our critical value is going to be at 0 .05 and 16.
01:07
Okay, so we're going to go to the t table.
01:12
So there's going to be a 1 tail.
01:14
So 0 .05 with a degree of freedom of 16.
01:25
Let's see what that is.
01:31
That's going to give value of just a second.
01:38
So that's one tail.
01:41
Let me just double check my alpha values.
01:43
Yeah, that's 0 .05.
01:45
Okay, so 0 .05 with the degree of freedom of 16.
01:50
We're going to have 1 .746.
01:55
6.
01:58
So that's going to be 1 .746 to 2 doesn't place this is going to the 1 .75.
02:13
B is 90.
02:18
Oops, yes, a second.
02:21
So ci is still 90.
02:29
Assemble size is now 12.
02:32
So the degree of freedom is going to change.
02:36
That's going to be 11.
02:38
So t alpha over 2 is still going to be 0 .05.
02:42
The growth of freedom 11.
02:45
So let's look at the t table again.
02:49
One tail.
02:53
Um, 0 .05 the degree of freedom 11.
03:02
Let's see.
03:04
So that's going to be 1 .796.
03:10
0 .796.
03:15
We're going to represent 1 .80 to 2 decimal places...