Question

the z-score will be negative when ( x ) is greater than ( mu ).
true
false

Explanation:

The formula for the z - score is $z=\frac{x - \mu}{\sigma}$, where $\sigma>0$. If $x>\mu$, then $x-\mu>0$. Since $\sigma>0$, the numerator and denominator are both positive, so $z=\frac{x - \mu}{\sigma}>0$. So the statement "The z - score will be negative when $x$ is greater than $\mu$" is false.

Answer:

FALSE