Find the indicated critical z value. find zα/2 for α = 0.08

Refer to the diagram shown below.
The value of z that yields the expected central area takes into account the excluded areas at both tails.

Half the tail area is α/2 = 0.08/2 = 0.04.
The central area is 1 - 0.04 - 0.04 = 0.92.

From standard normal tables, obtain
z(α/2) = 1.75

1.75

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.