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

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Answer 1 · 2016-03-04T06:39:53

z-score is $16.4$

z-score of variable $x$ with mean $mu$ , and standard deviation $sigma$ is given by $(x-mu)/(sigma/sqrtn)$

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

z-score is $(31-20)/(3/sqrt20)=(11*sqrt20)/3=16.4$

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