Question

A simple random sample of 100 observations was taken from a large population the sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is 0.12

A. True
B. False

Answer 1

A. True.

Explanation:

To get the standard error of the mean, you need to do the sample standard deviation over the square root of the number of samples, n.

In this case, n = 100. The standard deviation is 12. To get the SAMPLE standard deviation, you do the population standard deviation over the square root of n. That is 12 / sqrt(100) = 12 / 10 = 1.2.

So, to get the standard error: 1.2 / sqrt(100) = 1.2 / 10 = 0.12.

The standard error of the mean is, indeed, 0.12, so the statement is A. True.

Hope this helps!