00:01
Which of the following test has the biggest power.
00:06
So we're given the following information.
00:10
So we have these four alpha and betas given to us.
00:16
And power is calculated by taking one minus beta.
00:22
So thinking through these different options, i'm going to put the power in red here.
00:33
So in our first example, the power would be 0 .78, and the second one would be 0 .66.
00:40
It would be 0 .72 and it would be 0 .44.
00:44
So that makes this first option the highest power.
00:49
So option 1 has the biggest power.
00:53
For question 2, let x sub 1 comma, x sub 2 through x sub 36 be a random sample of size 36 from a normal.
01:03
Population, having a mean of mu and a variance equal to four.
01:08
You want to test, so let's go ahead and start recording some things.
01:14
So n equals 36.
01:16
We have a variance...