What is the z-score of sample X, if $n = 121, μ = 23, S t . D e v . = 110, and E [X] = 43$ $n = 121, mu= 23, St. Dev. =110, and E[X] =43$ ?

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Answer 1 · 2016-11-11T20:40:02

The z-score is $= 2$ $=2$

The z-score of a sample mean is $= \frac{¯ x - μ}{\frac{σ}{\sqrt{n}}}$ $=(barx-mu)/(sigma/sqrtn)$

$= \frac{43 - 23}{\frac{110}{\sqrt{121}}} = \frac{20}{\frac{110}{11}} = \frac{20}{10} = 2$ $=(43-23)/(110/sqrt121)=20/(110/11)=20/10=2$

What is the z-score of sample X, if n=121,μ=23,St.Dev.=110,andE[X]=43n = 121, mu= 23, St. Dev. =110, and E[X] =43?