What is the z-score of sample X, if $n = 49, mu= 75, SD =42, and E[X] =88$ ?

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Answer 1 · 2016-11-12T09:49:13

The z-score $=13/6$

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

$barx=88$
$mu=75$
$sigma=42$
$n=49$

$:.$ z-score $=(88-75)/(42/sqrt49)=13/(42/7)=13/6$

What is the z-score of sample X, if n = 49, mu= 75, SD =42, and E[X] =88n = 49, mu= 75, SD =42, and E[X] =88?