need help for research methods and statistic homework

Question

. A population is normally distributed with a mean of 61 and a standard deviation of 8.

(a) What is the mean of the sampling distribution (�M) for this population?

(b) If a sample of 16 participants is selected from this population, what is the standard error of the mean (�M)? �M =

Answer 1

The sampling distribution should have the same means as the population, so that would still be 61. Standard error is the standard deviation of the population divided by the square root of the sample size. In this case, it would be 8 divided by the square root of 16. The square root of 16 is 4. This means the standard error is 8 divided by 4, which is 2.

Mean of sampling distribution : 61

Standard error of sampling distribution: 2