Q. 6.78 - Elementary Statistics

Question

Determine $Z_{0.015}$

Step-by-Step Solution

Answer

The $z-$score under the usual normal curve with area $0.015$ to the right is around $2.17$. 

Step 1: Given information

The given area is $0.015.$

Step 2: Explanation

The given area is $0.015$

The $z-$score for which the area under the standard normal curve to its right is $0.015$ will be identical to the z-score for which the area under the standard normal curve to its left is $1-0.015=0.985$.

Begin by looking for the region 0.985 in the table's body. $2.17$ is the z-score that corresponds to it.

As a result, the $z-$score under the usual normal curve with area $0.015$ to the right is around $2.17$, which may be depicted as

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