00:01
Let me take notes what's given here.
00:03
So the population mean was given, which is denoted by mu.
00:06
This is 65.
00:08
And what else do we know? so we have the standard error.
00:13
So the sample size was also given here.
00:15
So the sample size, which is 25.
00:18
So the n is 25 here.
00:20
And also we have the population standard division, which was as 15.
00:26
And the alpha, so the m level, that was given as 70.
00:30
The alpha level was given as 0 .05.
00:33
So first of all, we have to state the hypothesis.
00:36
So the null hypothesis, and which is denoted by h0, and that should be the mu is equal to 65, and the alternative hypothesis, which is denoted by h .a.
00:56
And that should be the mu is not equal to 65 here.
01:00
So the alpha level was given here.
01:02
So what we have to do, we have to just find so we know that the alpha level was given 0 .05.
01:10
So i'm going to just get the critical boundaries for alpha is equal to 0 .05.
01:16
So because the mu is not equal to 65, i'm going to just use the two tailed.
01:24
This is tailed test.
01:26
So what that means? let me just graph it.
01:30
So there should be some z1, negative z1, and there should be some z1 value here.
01:35
So this area is alpha over 2.
01:38
And this area is also alpha over 2.
01:42
So the z alpha over 2, which is 0 .0 .0 .5 divided by 2, which is z, this is 0 .025.
01:54
So i'm going to get this one, which is inverse norm...