Question

Find the value of z such that 0.76980.7698 of the area lies between −z−z and z. round your answer to two decimal places.

Answer 1

P(-z<Z<z)=0.7698

P(0<Z<z)=0.7698/2=0.3849

P(Z<0)=0.5

P(Z<z)=P(Z<0)+P(0<Z<z)=0.5+0.3849=0.8849

Using the z-table, the z-score that corresponds to probability of 0.8849 is z=1.80

Answer 2

P(-z<Z<z)=0.7698
P(0<Z<z)=0.7698/2=0.3849
P(Z<0)=0.5
P(Z<z)=P(Z<0)+P(0<Z<z)=0.5+0.3849=0.8849
Using the z-table, the z-score that corresponds to probability of 0.8849 is z=1.20