Question

Find the z-score such that:

The area under the standard normal model to its left is 0.9412 z =

The area under the standard normal model to its right is 0.1576 z =

Answer 1

(a)

Table of Area Under Standard Normal Curve gives area from mid value to Z on either side.

The area under the standard normal model to its left is 0.9412 corresponds to area from mid value to 0.9412 - 0.5 = 0.4412 from mid value to Z on RHS.

So, Table gives Z = 1.565

So,

Answer is:

1.565

(b)

The area under the standard normal model to its right is 0.1576 corresponds to area from mid value to 0.5 - 0.1576 = 0.3424.

So, Table gives Z = 1.005

So,

Answer is:

1.005