What is the z-score of X, if n = 3, $mu= 55$ , SD =2, and X =56?

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Answer 1 · 2016-03-04T06:35:36

Z-score is $-0.866$

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

As $mu=55$ , $sigma=2$ , $n=3$ and $x=56$

z-score is $(56-55)/(2/sqrt3)=((-1)*sqrt3)/2=-0.866$

What is the z-score of X, if n = 3, mu= 55mu= 55, SD =2, and X =56?