What is the z-score of sample X, if $n = 256, μ = 88, S t . D e v . = 128, and μ_{X} = 104$ $n = 256, mu= 88, St. Dev. =128, and mu_X =104$ ?

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Answer 1 · 2016-11-27T12:30:05

THe z-score is $= 2$ $=2$

The z-score for a sample mean is

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

Here,

$¯ x = 104$ $barx=104$

$μ = 88$ $mu=88$

$σ = 128$ $sigma=128$

$n = 256$ $n=256$

Therefore,

$z = \frac{104 - 88}{\frac{128}{\sqrt{256}}} = \frac{16}{\frac{128}{16}} = \frac{16}{8} = 2$ $z=(104-88)/(128/sqrt256)=16/(128/16)=16/8=2$

What is the z-score of sample X, if n = 256, mu= 88, St. Dev. =128, and mu_X =104n=256,μ=88,St.Dev.=128,andμX=104n = 256, mu= 88, St. Dev. =128, and mu_X =104?