Sampling Distribution of r

Now, we'll talk about how the shape of the sampling distribution of Pearson correlation deviates from normality and then discusses how to transform $r$ to a normally distributed quantity. Then, we will discuss how to calculate the probability of obtaining an $r$ above a specified value.

Sampling Distribution of Pearson's r

Questions

Question 1 out of 4.
What is the shape of the sampling distribution of $r$ ?

Normal

Bimodal

Skewed

Question 2 out of 4.
What is the corresponding $z$ ' for $r = -.65$ ?

Question 3 out of 4.
Which of these r values is the most different from its corresponding

$z$ '?

$r = 0$

$r = .6$

$r = .2$

$r = -.8$

Question 4 out of 4.
The population has a correlation of $.60$ . What is the probability that you will get a sample correlation of at least $r = .50$ if you sample $19$ pairs?