What is the z-score of sample X, if $n = 54, mu= 12, St. Dev. =30, and mu_X =11$ ?

Question

1689 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-01T09:17:18

$z=0.25$

Given -

$n=54$
$SD=30$
$mu=12$
$mu_x=11$

Find the Standard Error -

$SE = sigma/sqrt(n)=30/sqrt(54)=30/7.35=4.08$

$z=(mu-mu_x)/(SE)=(12-11)/4.08=1/4.08=0.25$
$z=0.25$

What is the z-score of sample X, if n = 54, mu= 12, St. Dev. =30, and mu_X =11n = 54, mu= 12, St. Dev. =30, and mu_X =11?