00:01
Hey there, welcome to numerade.
00:03
We are looking at a sample size of three that is going to be randomly selected without replacement.
00:11
And we have a population size of five, whose value are 0 ,3, 6, 9, and 12.
00:20
So we are asked to find the sampling distribution of the sample mean.
00:26
So this will be part a.
00:30
So what we know here, first is that the maximum possible of samples maximum of samples will be combinations we have five for population size and we have three for our sample size so therefore this basically equals 10 so that's a max possible of samples all right and so this means that among the 10 possible samples our sampling distribution will contain the values of 3, 6, and 9.
01:45
Okay? 3, 6, and 9.
01:50
Perfect.
01:52
And what we have here is part b.
01:57
So for part b, we are asked to find a mean and standard deviation of the sample mean here...