Imagine that for a population of 200, the mean is 20.23 with a standard deviation of 5.12. What is the population standard error of the mean ?
A) .003
B) .03
C) .36
D) .50

Question

Imagine that for a population of 200, the mean is 20.23 with a standard deviation of 5.12. What is the population standard error of the mean  ?
A) .003 
B) .03 
C) .36 
D) .50

Quizplus · Accepted Answer

The formula for population standard error of the mean is:
standard deviation / square root of sample size
In this case, since we are given the population standard deviation instead of the sample standard deviation, the formula becomes:
standard deviation / square root of population size
So, in this case, the population standard error of the mean would be:
5.12 / sqrt(200) = 0.362
Therefore, the closest answer choice is C) .36.

Imagine That for a Population of 200, the Mean Is