What is the z-score of sample X, if $n = 256, μ = 42, S t . D e v . = 80, and μ_{X} = 89$ $n = 256, mu= 42, St. Dev. =80, and mu_X =89$ ?

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What is the z-score of sample X, if $n = 256, μ = 42, S t . D e v . = 80, and μ_{X} = 89$ $n = 256, mu= 42, St. Dev. =80, and mu_X =89$ ?

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Answer 1 · 2016-03-14T23:26:10

$z = \frac{47}{5} = 9.4$ $z=47/5=9.4$

Explanation:

Use the formula

$z = \frac{μ_{x} - μ}{(\frac{σ}{\sqrt{n}})} = \frac{89 - 42}{(\frac{80}{\sqrt{256}})} = \frac{47}{(\frac{80}{16})} = \frac{47}{5}$ $z=(mu_x-mu)/((sigma/sqrtn))=(89-42)/((80/sqrt(256)))=47/((80/16))=47/5$

$z = 9.4$ $z=9.4$

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What is the z-score of sample X, if $n = 256, μ = 42, S t . D e v . = 80, and μ_{X} = 89$ $n = 256, mu= 42, St. Dev. =80, and mu_X =89$ ?

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What is the z-score of sample X, if n = 256, mu= 42, St. Dev. =80, and mu_X =89n=256,μ=42,St.Dev.=80,andμX=89n = 256, mu= 42, St. Dev. =80, and mu_X =89?

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What is the z-score of sample X, if $n = 256, μ = 42, S t . D e v . = 80, and μ_{X} = 89$ $n = 256, mu= 42, St. Dev. =80, and mu_X =89$ ?