What is the z-score of sample X, if $n = 36, mu= 12.3, St. Dev. =21, and mu_X =18.5$ ?

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Answer 1 · 2016-05-08T05:20:51

$z=1.77$

$z=(mu-mu_x)/(SE)$
$SE=sigma/sqrt n=21/sqrt36=21/6=3.5$
$z=(12.3-18.5)/3.5=(-6.2)/3.5=-1.77$

What is the z-score of sample X, if n = 36, mu= 12.3, St. Dev. =21, and mu_X =18.5n = 36, mu= 12.3, St. Dev. =21, and mu_X =18.5?