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

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

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Answer 1 · 2016-02-08T13:45:46

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

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

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