Q. 6.75 - Elementary Statistics

Question

Obtain the $z-$score that has an area of $0.95$ to its right.

Step-by-Step Solution

Answer

The $Z-$score under the typical normal curve with the area $0.95$ to its right is around $-1.645.$

Step 1: Given information

The given area is $0.95.$

Step 2: Explanation

The given area is $0.95$

The $z-$score for which the area under the standard normal curve to its right is $0.95$ will be identical to the $z-$score for which the area under the standard normal curve to its left is $1-0.95=0.05$.

Begin by looking for the area 0.05 in the table's body. The item isn't on the table. $0.0495$ and $0.0505$ are the nearest areas. $-1.645$ is the average of two z-scores of $1.64$ and $-1.65$.

As a result, the z-score under the typical normal curve with the area $0.95$ to its right is around $-1.645$, which can be rendered as

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