# Basis for the Range Rule of Thumb and the Empirical Rule. In Exercise, find the indicated area under the curve of the standard normal distribution, then convert it to a percentage andfill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-3.About_____% of the area is between z = − 2 and z=2 (or within 2 standard deviation of the mean).

Question
1 views

Basis for the Range Rule of Thumb and the Empirical Rule. In Exercise, find the indicated area under the curve of the standard normal distribution, then convert it to a percentage andfill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-3.

About_____% of the area is between z = − 2 and z=2 (or within 2 standard deviation of the mean).

check_circle

Step 1

Solution: We have to find the area under the standard normal curve  within the two standard deviations of the mean.

Step 2

The empirical rule of normal distribution states that:

68% of the area of the standard normal distribution lies within one standard deviation of the mean.

95% of the area of the standard normal dis...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Data 