SOLUTION: Find the standard score (z) such that the area above the mean and below z is about 34% of the area under the normal curve.

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Question 634341: Find the standard score (z) such that the area above the mean and below z is about 34% of the area under the normal curve.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Find the standard score (z) such that the area above the mean and below z is 

about 34% of the area under the normal curve.  z+=+1



For the normal distribution: 

 one  standard deviation  from the mean accounts for about 68.2% of the set 

two standard deviations from the mean account for about 95.4%

and three standard deviations from the mean account for about 99.7%.

Important to Understand z -values as they relate to the Standard Normal curve:

Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and 50%  to the right