Q. 6.77 - Elementary Statistics

Question

Determine $z_{0.33}$

Step-by-Step Solution

Answer

The $z-$score under the usual normal curve with the area $0.33$ to its right is around $0.67$. 

Step 1: Given information

The given area is $0.33.$

Step 2: Explanation

The given area is $0.33$

The $z-$score with $0.33$ the area under the standard normal curve to its right is equal to the z-score with $1-0.33=0.67$ the area to its left.

Begin by looking for the $0.67$ area in the table's body. The appropriate $z-$score will be $0.44$.

As a result, the $z-$score under the usual normal curve with the area $0.33$ to its right is around $0.44$, which may be depicted as

The relevant portion of the standard normal table is shown below