A sample of n 16 scores has a mean of M 40 and a variance

A sample of n = 16 scores has a mean of M = 40 and a variance of s² = 64. What is the estimated standard error for the sample mean?

Solution

Standard Error= sd/ Sqrt(n)
Where,
sd = Standard Deviation
n = Sample Size

Standard deviation( sd )= Sqrt( Variance) = Sqrt(64) = 8
Sample Size(n)=16
Standard Error = ( 8/ Sqrt ( 16) )
= 2