Question

What is the $z$-score of $x$, when $x=1$and $X~N(12,3)$?

Short answer

The value of the $z$-score for $x=1$isrole="math" localid="1648286217464" $-3.67$.

Step-by-step solution

Given Information

$x=1$and$X~N(12,3)$.

Explanation

$\mu =12$

$\sigma =3$

Now, the $z$-score for $x=1$can be calculated as below:

$z-score=\frac{1-\mu }{\sigma }$

$=\frac{1-12}{3}$

$=-\frac{11}{3}$

$=-3.67$.