When the sample size n is greater than 30, the Spearman rank correlation coefficient $r _ { s }$ is approximately normally distributed with:
A)mean 0 and standard deviation 1.
B)mean 1 and standard deviation $\sqrt { n - 1 }$ .
C)mean 1 and standard deviation 1/ $\sqrt { n - 1 }$ .
D)mean 0 and standard deviation 1/ $\sqrt { n - 1 }$ .

Question

Quizplus · Accepted Answer

For large sample sizes (n > 30), the Spearman rank correlation coefficient $r_s$ is approximately normally distributed with a mean of 0 and a standard deviation of $1/\sqrt{n - 1}$. This allows for the use of normal approximation in hypothesis testing involving $r_s$.

When the Sample Size N Is Greater Than 30, the Spearman