Q. 6.76 - Elementary Statistics

Question

Obtain the $z-$score that has an area $0.70$ to its right.

Step-by-Step Solution

Answer

The $z-$score under the usual normal curve with the area $0.70$ to its right is around $-0.52.$

Step 1: Given information

The given area is $0.70.$

Step 2: Explanation

The given area is $0.70.$

The z-score for which the area under the standard normal curve to its right is $0.70$ will be identical to the z-score for which the area under the standard normal curve to its left is $1-0.70=0.30$.

Begin by looking for the $0.30$ area in the table's body. The item isn't on the table. $0.3015$ is the nearest area. It will have a z-score of $-0.52$ as a result.

As a result, the z-score under the usual normal curve with the area $0.70$ to its right is around$-0.52$, which may be depicted as

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