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Q 15

Expert-verifiedFound in: Page 385

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

15. Suppose X ~ N(2, 6). What value of x has a z-score of three?

The value of $x$ is$20$

Given that,

$z=3$ And,

$X~N(2,6)$ Where,

$\mu =2$

$\sigma =6$

We can Calculate the value of the $z-$score as below:

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

Substitute the provided values in the above expression. Then,

$3=\frac{x-2}{6}$

$x-2=3\times 6$

$x=18+2$

$x=20$

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