Sampling Distribution of r

Skewed- Unless $r = 0$, the sampling distribution is skewed. The reason for the skew is that $r$ cannot take on values greater than $1.0$ or less than $-1.0$, and therefore the distribution cannot extend as far in one direction as it can in the other.

$-.775$ Use a calculator or table to transform $r$ to $z$'. You get $-.775$.

$r = -.8$ Although you could plug all of these values into the $r$ to $z$' calculator, you don't need to do that. You know the $r$ with the biggest absolute value has the most skewed sampling distribution, so it is the most different from its corresponding $z$'.

$.718$ Population correlation = $.6$ to $z$' = $.693$, SE = $1 \sqrt(N-3)$ = $1 \sqrt(19-3)$ = $.25$, $r$ = $.50$ to $z$' = $.549$, Use the "Calculate area for a given $X$" applet. Plug in $.693$ for the mean and $.25$ for the SD, and then calculate area above $.549$. You get $.718$.