What is the z-score of sample X, if $n = 144, mu= 41, St. Dev. =120, and E[X] =63$ ?

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Answer 1 · 2016-11-10T18:04:26

The z-score is $=2.2$

The z-score for a sample mean is $z=(barx-mu)/(sigma/sqrtn)$

$=(63-41)/(120/sqrt144)=22/(120/12)=22/10=2.2$

What is the z-score of sample X, if n = 144, mu= 41, St. Dev. =120, and E[X] =63n = 144, mu= 41, St. Dev. =120, and E[X] =63?