Question

For a population with a mean of u=72 and a standard deviation of o=10 what is the standard error of the distribution of sample means for each of the following sample sizes

For a sample of n=4
oM=

For a sample of n=25 scores
oM=

Answer 1

For a sample of n=4 , SE=5

For a sample of n=425, SE=2

Explanation:

The standard error of the distribution is given by;

`SE = ( \sigma)/( √(n) )`

For a sample of n=4,

The standard error is:

`SE = ( 10)/( √(4) ) = (10)/(2) = 5`

For a sample of n=25, the standard error is

`SE = ( 10)/( √(25) ) = (10)/(5) = 2`