00:01
Hey there, welcome to numerade.
00:03
We are given a sample of size 8 from an unknown distribution population.
00:11
The sample mean here is calculated and the population standard deviation mean is given.
00:18
What is the probability that the sample mean would be smaller than 20? so what we have here is the answer of the probability cannot be determined.
00:34
Probability cannot be determined.
00:49
And let's explain because we are given a small sample size, which does not follow the central limit theorem, clt.
01:17
All right, and we cannot estimate the mean or the standard deviation here.
01:24
So therefore, it is impossible to calculate using a normal distribution, central limit theorem, and et cetera.
01:31
Okay, okay? so it's not normally distributed.
01:47
Perfect.
01:49
Okay, so carrying on over here, what we have is the sat scores that are normally distributed, given a mean of 500.
02:04
So we have a mean that equals 500, and we have a standard deviation that is 100...