00:01
Okay, we have variables x1, or we're having samples x1, x2, all the way to x100.
00:12
And each of these variables come from a uniform distribution, so x comes from a uniform distribution with mean 0 and variance theta.
00:25
And using the central limit theorem, we want to make a 95 % confidence interval for theta.
00:37
For theta, given x bar, the mean is equal to 1.
00:47
Alright, so we want to make a 95 % confidence interval, and notice we have 1 through 100.
00:53
We have a sample size of n equals 100, and because we have a sample size greater than 30, the central limit theorem says that as long as you have a sample size greater than the distribution about the mean is normally distributed.
01:12
The distribution about the mean here is normally distributed.
01:16
Granted, these are different, you know, that's 0, that's 1...