Question

Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?

Short answer

The value of $x$is $6.5$

Step-by-step solution

Given Information

Given that,$z=-0.5$And,

$X~N(9,5)$Where,

$\mu =9$

$\sigma =5$

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,

$-0.5=\frac{x-9}{5}$

$x-9=-0.5\times 5$

$x=-2.5+9$

$x=6.5$