What is the z-score of sample X, if $n = 54, mu= 37, St. Dev. =30, and mu_X =42$ ?

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Answer 1 · 2015-11-10T10:22:25

$z=1.225$

$mu_x$ represents one of the value of the distribution.
$mu_barx=mu$
We have to find the Standard Error of the given distribution.

It is - SD $= sigma/sqrtn= 30/sqrt 54=30/7.35=4.08$

$z=(mu_x-mu)/sigma=(42-37)/4.08=1.225$

What is the z-score of sample X, if n = 54, mu= 37, St. Dev. =30, and mu_X =42n = 54, mu= 37, St. Dev. =30, and mu_X =42?