Question

A random sample of 60 observations was drawn from a large population and its standard deviation was found to be 2.5. Calculate the suitable standard error that this sample is taken from a population with standard deviation 3?

Answer 1

Given sample size n = 60 

Sample standard deviation = 2.5 

Population standard deviation σ = 3 

The S.E is given by 

√σ²/2n 

= √9/120 

= √0.075 

= 0.2739