What is the z-score of sample X, if $n = 256, μ = 17, S t . D e v . = 80, and μ_{X} = 22$ $n = 256, mu= 17, St. Dev. =80, and mu_X =22$ ?

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What is the z-score of sample X, if $n = 256, μ = 17, S t . D e v . = 80, and μ_{X} = 22$ $n = 256, mu= 17, St. Dev. =80, and mu_X =22$ ?

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Answer 1 · 2015-12-17T01:42:58

$z = - 1$ $z=-1$

Explanation:

Given -

$n = 256$ $n=256$
$μ = 17$ $mu=17$
$S D = 80$ $SD=80$
$μ_{x} = 22$ $mu_x=22$
$z = \frac{μ - μ_{x}}{S E}$ $z=(mu-mu_x)/(SE)$
$S E = \frac{S D}{\sqrt{n}} = \frac{80}{\sqrt{256}} = \frac{80}{16} = 5$ $SE = (SD)/sqrt(n)=80/sqrt(256)=80/16=5$
$z = \frac{17 - 22}{5} = \frac{- 5}{5} = - 1$ $z=(17-22)/5=(-5)/5=-1$

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What is the z-score of sample X, if $n = 256, μ = 17, S t . D e v . = 80, and μ_{X} = 22$ $n = 256, mu= 17, St. Dev. =80, and mu_X =22$ ?

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Science

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What is the z-score of sample X, if n=256,μ=17,St.Dev.=80,andμX=22n = 256, mu= 17, St. Dev. =80, and mu_X =22?

1 Answer

Explanation:

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What is the z-score of sample X, if $n = 256, μ = 17, S t . D e v . = 80, and μ_{X} = 22$ $n = 256, mu= 17, St. Dev. =80, and mu_X =22$ ?