What is the z-score of sample X, if $n = 49, mu= 35, SD =105, and E[X] =39$ ?

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Answer 1 · 2016-11-29T15:12:35

The z-score is $=4/15$

The z-score for a sample mean is

$z=(barx-mu)/(sigma/sqrtn)$

$barx=E[X]=39$

$mu=35$

$sigma=105$

$n=49$

So,

$z=(39-35)/(105/sqrt49)$

$=4/(105/7)$

$=4/15$

What is the z-score of sample X, if n = 49, mu= 35, SD =105, and E[X] =39n = 49, mu= 35, SD =105, and E[X] =39?