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 population standard deviation of six hours. Suppose we select a random sample of 144 current students. What is the standard error of the mean

Answer 1

Answer: The standard error of the mean = 0.5

Step-by-step explanation:

Given : Sample size : n =  144

Standard deviation : $\sigma=6\text{ hours}$

The formula to find the standard error of the mean is given by :-

$S.E.=\dfrac{\sigma}{\sqrt{n}}$

i.e. $S.E.=\dfrac{6}{\sqrt{144}}=0.5$

Hence, the standard error of the mean =0.5