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?
A) 0.50
B) 6.00
C) 0.25
D) 2.00

Question

Quizplus · Accepted Answer

The standard error of the mean is the standard deviation of the sampling distribution of the mean. It is calculated by dividing the standard deviation of the population by the square root of the sample size. In this case, the standard deviation of the population is 6 hours and the sample size is 144. Therefore, the standard error of the mean is 6 / sqrt(144) = 0.50 hours.

The Office of Student Services at a Large Western State