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Q 17

Expert-verifiedFound in: Page 385

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

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

The value of $x$ is $6.5$

Given that,$z=-0.5$ And,

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

$\mu =9$

$\sigma =5$

We have to find the value of $x$

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

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

Put the provided values in the above expression. Then,

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

$x-9=-0.5\times 5$

$x=-2.5+9$

$x=6.5$

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