00:01
Here we have a random sample of size 50 with a sample mean of 2 .2 and standard deviation 0 .29.
00:17
And we want to show that the population mean exceeds 2 .1.
00:22
So my null hypothesis then is the mean is equal to 2 .1.
00:27
And the alternative, which i want to prove, is that the mean exceeds or is greater than 2 .1.
00:34
And we want to calculate beta, which is the probability that we accept the null hypothesis when the true mean is actually 2 .2.
01:32
And we're going to use alpha is 0 .05.
01:35
Well, the rejection region then is going to be reject h0 if t with 49 degrees of freedom is greater than t with alpha, because we're doing a one -tilt test, so 0 .0549.
02:04
And that value is equal to, let's see here, t table, 49 degrees of freedom, and 5 % in the upper tail...