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

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.=(\sigma)/(√(n))`

i.e.
`S.E.=(6)/(√(144))=0.5`

Hence, the standard error of the mean =0.5