anudoneddbv

2022-07-17

What is the z-score of X, if n = 20, $\mu =20$, SD =3, and X =31?

Mireya Hoffman

Beginner2022-07-18Added 14 answers

z-score of variable $x$ with mean $\mu$, and standard deviation $\sigma$ is given by $\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

As $\mu =20$, $\sigma =3$, $n=20$ and $x=31$

z-score is $\frac{31-20}{\frac{3}{\sqrt{20}}}=\frac{11\cdot \sqrt{20}}{3}=16.4$

As $\mu =20$, $\sigma =3$, $n=20$ and $x=31$

z-score is $\frac{31-20}{\frac{3}{\sqrt{20}}}=\frac{11\cdot \sqrt{20}}{3}=16.4$

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