Question

Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?

Short answer

The value of $x$is$5.75$

Step-by-step solution

Given Information

Given that, $z=-2.25$. And,

$X~N(8,1)$Where,

$\mu =8$

$\sigma =1$

We have to find the value of$x$

Explanation

The value of$z$-score can be calculated as below:

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

Put the provided values in the above expression. Then,

$-2.25=\frac{x-8}{1}$

$x-8=-2.25\times 1$

$x=-2.25+8$

$x=5.75$