What is the z-score of sample X, if $n = 36, mu= 38, St. Dev. =66, and mu_X =14$ ?

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Answer 1 · 2016-01-04T05:37:49

$z=2.18$

Given -

$n=36$
$mu=38$
$sigma=66$
$mu_x=14$

Find Standard Error

SE $=sigma/sqrt(n)=66/sqrt(36)=66/6=11$

Calculate the $z$ score

$z=(mu-mu_x)/(SE)=(38-14)/11=24/11=2.18$

What is the z-score of sample X, if n = 36, mu= 38, St. Dev. =66, and mu_X =14n = 36, mu= 38, St. Dev. =66, and mu_X =14?