What is the z-score of sample X, if $n = 196, μ = 55, S t . D e v . = 42, and μ_{X} = 58$ $n = 196, mu= 55, St. Dev. =42, and mu_X =58$ ?

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What is the z-score of sample X, if $n = 196, μ = 55, S t . D e v . = 42, and μ_{X} = 58$ $n = 196, mu= 55, St. Dev. =42, and mu_X =58$ ?

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Answer 1 · 2016-01-03T01:00:51

$z = 0.75$ $z=0.75$

Explanation:

Given -

$n = 196$ $n=196$
$μ = 55$ $mu=55$
$S D = 42$ $SD=42$
$μ_{x} = 58$ $mu_x=58$
Find Standard error
$S E = \frac{σ}{\sqrt{n}} = \frac{42}{\sqrt{196}} = \frac{42}{14} = 3$ $SE =sigma/sqrt(n)=42/sqrt(196)=42/14=3$
Calculate $z$ $z$ score
$z = \frac{μ - μ_{x}}{S E} = \frac{55 - 58}{4} = - \frac{3}{4} = - 0.75$ $z=(mu-mu_x)/(SE)=(55-58)/4=-3/4=-0.75$

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What is the z-score of sample X, if $n = 196, μ = 55, S t . D e v . = 42, and μ_{X} = 58$ $n = 196, mu= 55, St. Dev. =42, and mu_X =58$ ?

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What is the z-score of sample X, if n = 196, mu= 55, St. Dev. =42, and mu_X =58n=196,μ=55,St.Dev.=42,andμX=58n = 196, mu= 55, St. Dev. =42, and mu_X =58?

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What is the z-score of sample X, if $n = 196, μ = 55, S t . D e v . = 42, and μ_{X} = 58$ $n = 196, mu= 55, St. Dev. =42, and mu_X =58$ ?