What is the z-score of sample X, if $n = 400, mu= 41, St. Dev. =65, and E[X] =31$ ?

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Answer 1 · 2016-05-13T04:09:27

$z=(-40)/13=-3.076923077$

Given data:

$x=31$
$mu=41$
$sigma=65$
$n=400$

The formula

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

$z=(31-41)/((65/sqrt400))$

$z=-40/13$

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What is the z-score of sample X, if n = 400, mu= 41, St. Dev. =65, and E[X] =31n = 400, mu= 41, St. Dev. =65, and E[X] =31?