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

The standard error of the mean would be 6.5556.

Explanation:

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

`SE_(m) = (\sigma)/(√(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) = (\sigma)/(√(n)) = (118)/(√(324)) = 6.5556`

The standard error of the mean would be 6.5556.