What is the z-score of X, if n = 204, $μ = 15$ $mu= 15$ , SD =1, and X =35?

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What is the z-score of X, if n = 204, $μ = 15$ $mu= 15$ , SD =1, and X =35?

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Answer 1 · 2016-02-08T13:45:46

$z = \frac{X - μ}{S D} = \frac{35 - 15}{1} = 20$ $z=(X-mu)/(SD)=(35-15)/1=20$ is the $z$ $z$ -score of $X$ $X$ itself. If you want the $z$ $z$ -score of a mean $¯ ¯ ¯ X = 35$ $overline{X}=35$ , the answer is $z = \frac{¯ ¯ ¯ X - μ}{\frac{S D}{\sqrt{n}}} = \frac{20}{\frac{1}{\sqrt{204}}} \approx 285.7$ $z=(overline{X}-mu)/((SD)/sqrt(n))=20/(1/sqrt(204)) approx 285.7$ . Such high $z$ $z$ -scores rarely occur in real life examples.

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What is the z-score of X, if n = 204, $μ = 15$ $mu= 15$ , SD =1, and X =35?

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What is the z-score of X, if n = 204, mu= 15μ=15mu= 15, SD =1, and X =35?

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What is the z-score of X, if n = 204, $μ = 15$ $mu= 15$ , SD =1, and X =35?