Q. 13 - Elementary Statistics

Question

13. What key fact permits you to determine percentages for a normally distributed variable by first converting to $z-$scores and then determining the corresponding area under the standard normal curve?

Step-by-Step Solution

Answer

The key fact that permits to determining percentages for a normally distributed variable is $6.2$

Step 1: Given Information

Imagine the following example: "The key fact allows you to get percentages for a normally distributed data by first converting it to a $z-$score and then calculating the area under the Standard normal curve."

Step 2: Explanation

Take, for example, essential fact $6.2$.

The standard is $z=\frac{x-\mu }{\sigma }$, which is the standardized version of a normally distributed variable $x$. As a result of the aforementioned important fact, percentages for a normally distributed variable can be calculated.

The matching area under the Standard normal curve is calculated after first converting to z score.

As a result, key fact $6.2$ is the correct response.