Hi

If I am understanding Your Question Properly: Hope the visual helps..

the z value line determines the Area left to right (minus values when Area < 50% and

Positive values when Area > 50%.  Exact middle:  z = 0

Am using the Excel function NORMSINV() to determine the z-values.  

Hope this helps. Important to be able to visualized the Area under the curve.



A) 51.5% to the right of the total area NORMSINV(0.515)= z= .3761



B) 45.2% to the right of the total area NORMSINV(0.452)= z = -.1206





C) 92% the middle of the total area NORMSINV(0.040) =z = -1.7507and NORMSINV(0.96)=z = 1.7507  

 

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