Q. 6.71 - Elementary Statistics

Question

Obtain the $z$-score for which the area under the standard normal curve to its left is $0.025$.

Step-by-Step Solution

Answer

The z-score under the standard normal curve with the area $0.025$ to its left is $-1.96$. 

Step 1: Given information

The given area is $0.025.$

Step 2: Explanation

The given area is $0.025$

Begin by looking for the $0.025$ area in the table's body. The matching z-score for the area is $-1.96$. As a result, the z-score under the standard normal curve with the area $0.025$ to its left is $-1.96$, which can be rendered as

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