What is the z-score of sample X, if $n = 9, μ = 56, S D = 30, and E [X] = 32$ $n = 9, mu= 56, SD =30, and E[X] =32$ ?

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Answer 1 · 2016-12-21T07:48:25

The answer is $= 2.4$ $=2.4$

The z-score for a sample mean is

$z = \frac{¯ x - μ}{\frac{σ}{\sqrt{9}}}$ $z=(barx-mu)/(sigma/sqrt9)$

$¯ x = E [X] = 32$ $barx= E[X]=32$

$μ = 56$ $mu=56$

$σ = 30$ $sigma=30$

$n = 9$ $n=9$

Therefore,

$z = \frac{32 - 56}{\frac{30}{\sqrt{9}}} = - \frac{24}{10} = - 2.4$ $z=(32-56)/(30/sqrt9)=-24/10=-2.4$

What is the z-score of sample X, if n=9,μ=56,SD=30,andE[X]=32n = 9, mu= 56, SD =30, and E[X] =32?