What is the z-score of sample X, if $n = 196, mu= 45, St. Dev. =28, and E[X] =29$ ?

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Answer 1 · 2016-12-29T14:38:00

The answer is $=-8$

The z-score for a sample mean is

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

$barx=E[X] = 29$

$mu=45$

$sigma=28$

$n=196$

Therefore,

$z=(29-45)/(28/sqrt196)$

$=-16/(28/14)$

$=-16/2=-8$

What is the z-score of sample X, if n = 196, mu= 45, St. Dev. =28, and E[X] =29n = 196, mu= 45, St. Dev. =28, and E[X] =29?