Hi,

Find the z-scores for which 90% of the distribution's area lies between -z and z.

z = ± 1.751

 	a	a/2	2-tailed crtical regions	

80%	0.2	10%	z <-1.28155	z >+1.28155

90%	0.1	5%	z <-1.645	           z >+1.645

92%	0.08	4%	z <-1.751	           z >+1.751

95%	0.05	2.50%	z <-1.96	           z >+1.96

98%	0.02	1%	z <-2.326	           z >+2.326

99%	0.01	0.50%	z<-2.576	           z >+2.576





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



 

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