Q. 6.73 - Elementary Statistics

Question

Find the $z$-score that has an area of $0.75$ to its left under the standard normal curve.

Step-by-Step Solution

Answer

The z-score under the usual normal curve with the area $0.75$ to its left is around $0.67.$ 

Step 1: Given information

The given area is $0.75.$

Step 2: Explanation

The given area is $0.75.$

Begin by looking for the $0.75$ area in the table's body. The item isn't on the table. $0.7486$ is the closest area. The matching -score for the area is $0.67$.

As a result, the z-score under the usual normal curve with the area $0.75$ to its left is around $0.67$, which can be depicted as

Below is a section of the standard normal table that is relevant: