Question

A researcher is examining the relationship between IQ and crime. She calculates the mean for her sample as 96.24 on a standard IQ score. She finds a standard deviation of 8.62 and has a sample of 200. Using this information, answer the following questions.

1.1 What is the standard error for her sample?

Answer 1

The standard error for her sample is SE = 0.6095

Explanation:

By definition, the standard error of the mean is:

`SE = (\sigma)/(√(n))`

Where:

`\sigma` is the standard deviation

`n` is the sample size.

For the information provided in the problem we know that:

`\sigma = 8.62`

`n = 200`

Then we introduce these values in the formula of the error to obtain the value.

`SE = (8.62)/(√(200))`

`SE = 0.6095`