# Sampling Distribution of r

## Sampling Distribution of Pearson's r

### Answers

- Skewed- Unless , the sampling distribution is skewed. The reason for the
skew is that cannot take on values greater than or less than ,
and therefore the distribution cannot extend as far in one direction as
it can in the other.
- Use a calculator or table to transform to '. You get .
- Although you could plug all of these values into the to ' calculator,
you don't need to do that.
You know the with the biggest absolute value has the most skewed
sampling distribution, so it is the most different from its
corresponding '.
- Population correlation = to ' = , SE = =
= , = to ' = , Use the "Calculate area for a
given " applet. Plug in for the mean and for the SD, and then
calculate area above . You get .