Question

The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a standard deviation of six hours. Suppose we select a random sample of 144 current students. What is the standard error of the mean? Select one: a. 0.50 b. 6.00 c. 0.25 d. 2.00

Answer 1

a. 0.50

Explanation:

The standard error of the mean is the standard deviation of the population divided by the square root of the sample size.

In this problem, we have that:

Standard deviation of the population: 6 hours

Sample size: 144

Square root of 144 is 12.

So the standard error of the sample mean is 6/12 = 0.5.