Question

A simple random sample of 144 observations was taken from a large population. The sample mean and the standard deviation were determined to be 1234 and 120 respectively. The standard error of the mean is

Answer 1

The standard error of mean = 10

Explanation:

Given a simple sample of 144 observations was taken from a large population.

The size of large sample 'n' = 144

Given sample mean and the standard deviation were determined to be 1234 and 120 respectively.

Given standard deviation of sample (S) = 120

The standard error of mean is determined by

`SE (X^(-) ) = (S.D)/(√(n) )`

`SE (X^(-) ) = (120)/(√(144) ) = 10`

Final answer:-

The standard error of mean = 10