Question

If a random sample of size 11 is drawn from a population distribution with standard deviation σ = 10 then what will be the variance of the sampling distribution of the sample mean?

Answer 1

Variance of the sampling distribution `=100/11`

Explanation:

Given-
Sample size `=11`
Standard Deviation of the population distribution `sigma=10`

From the above information, we can get the standard deviation of the sampling distribution or standard error.

`SE=sigma/sqrtn=10/sqrt11`

Variance of the sampling distribution `=(10/sqrtn)^2=100/11`
Variance of the sampling distribution `=100/11`