Question

Suppose X ~ N(2, 3). What value of x has a z-score of –0.67?

Short answer

The value of x is$-0.01$

Step-by-step solution

Ste 1 Given Information

Given that

$z=-0.67$And,

$X~N(2,3)$Where,

$\mu =2$

$\sigma =3$

Explanation

The $z$-score is defined as below:

$z=\frac{x-\mu }{\sigma }$

To find the $x$-value corresponding to $z=-0.67,$put the provided values in the above expression. Then,

$-0.67=\frac{x-2}{3}$

$x-2=-0.67\times 3$

$x=-2.01+2$

$x=-0.01$