Question

Find the z-scores for which 18 % of the distribution's area lies between minus−z and z.

Answer 1

The z-score will be found as follows:
P(-z<Z<z)=0.18
P(-z<Z<z)=0.18/2=0.09
P(Z<0)=0.5
P(Z<z)=P(Z<0)+P(0<Z<z)=0.5+0.09=0.59
From the z-table, the z-value will be:
z=0.23