Question

g True or False: A sample of size 25 provides a sample variance of 400. The standard error in this case, equal to 4, is best described as the estimate of the standard deviation of means calculated from sample of size 25.

Answer 1

Answer:

True.

Step-by-step explanation:

If we have for a sample of size n=25 a sample variance of 400, the standard error can be written as:

$\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{\sqrt{400}}{\sqrt{25}}=\dfrac{20}{5}=4$

This way of calculating the standard error is the same used for estimating the standard deviation of the sample means for samples of size n=25.