Question

If you have a sample size of 4 and a population standard deviation of 12, what is your standard error of the mean?ANDIf you have a population standard deviation of 2 ad a sample size of 9, what is your standard error of the mean?

Answer 1

The standard error is given by the formula:

`SE=\frac{\sigma}{\sqrt[]{n}}`

Where: σ is the standard deviation and (n) is the number of samples

Given: a sample size of 4 and a population standard deviation of 12

So, n = 4 and σ = 12

So, the standard error =

`SE=\frac{12}{\sqrt[]{4}}=(12)/(2)=6`

And, If you have a population standard deviation of 2 and a sample size of 9

The standard error will be =

`SE=\frac{2}{\sqrt[]{9}}=(2)/(3)`