Question 1194616
there are 9 samples of size 2
22--mean2
24--mean 3
26--4
42--3
44--4
46--5
62--4
64--5
66--6

The mean of the sample means is 4
the variance is squared of the differences squared from the mean, added together, divided by 9
That is 12/9 The sd is the sqrt of that or 2 sqrt(3)/3.

The mean of the population is 4
the variance is 8/3, and the sd is sqrt(24)/3 or 2/3*[(sqrt (6)]

The sampling distribution mean is the same as the population mean, 4.
The variance of the population is 8/3, and the variance of the sampling distribution is V(pop)/sample size, which is 8/(3*2), or 8/6.. That is the same as 12/9 above.