Question

Based upon extensive data from a national high school educational testing​ program, the standard deviation of national test scores for mathematics was found to be 118 points. If a sample of 324 students are given the​ test, what would be the standard error of the​ mean?

Answer 1

Answer:

The standard error of the mean would be 6.5556.

Step-by-step explanation:

The standard error of the mean is given by the following formula:

$SE_{m} = \frac{\sigma}{\sqrt{n}}$

In which n is the size of the sample and $\sigma$ is the standard deviation of the population.

In this problem, we have that:

$\sigma = 118$

If a sample of 324 students are given the​ test, what would be the standard error of the​ mean?

$SE_{m} = \frac{\sigma}{\sqrt{n}} = \frac{118}{\sqrt{324}} = 6.5556$

The standard error of the mean would be 6.5556.