You have a population that has a mean of 100 and a standard deviation of 15. You randomly draw 100 people out of this population and record the mean score. You repeat the process a large number of times recording the mean score for each sample you draw. What will be the standard deviation of this set of many means that you have drawn?

2 answers

Standard error of the mean is the standard deviation of the sampling distribution of the means.

Take the standard deviation (15) and divide by the square root of the sample size (100) for your answer.
1.5