00:01
So in this one we have a population that's just the numbers two, three, ten.
00:08
So in part a, our mean atom up, divide by three is five.
00:15
Our standard deviation, well, if we make a little table, let's do 10, x minus x bar, negative three, negative two, five, x minus x squared.
00:34
For 25 that adds up to 38 so it's the square root of 38 divided by 3 or the standard deviation as 3 .559 in part b we need the samples of size 2 well that's 2 310 2 10 310 10 2 and 10 3 3 3 3 3 3 six combination, which gives us x bars of 2 .5 for that sample.
01:25
6 means 2 .5 again, 6 .5 atom up divided by 2, 6 .5, 6 .5.
01:36
6 .5, which leaves a probability distribution, which leads us to part c, of x bar being 2 .5, 6 .5 with associative probabilities as 1 3rd, 3rd.
02:05
So the mean with respect to x with x bar times the probability, or 2 .5 times 1 3rd, 0 .83 repeating.
02:20
6 times 1 3rd, 6 times 1 3rd is 2 .83, 6 times 1 3 is 2 .6 times 1 3 is 2, 6 .3 is 2.
02:22
0 .5 times 1 3rd is 2 .16 repeating, which means add them up.
02:31
We have 5.
02:34
Well, then we got to add a column.
02:41
If we take x bar minus pene of x, we end up with negative 2 .5 and 1 .5.
02:52
Remember for our standard deviation, we need this part.
02:57
So that leaves the same.
03:08
Sapling distribution, negative 2 .5 squared is 6 .25...