Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About % of the area is between z=-2 and z=2 (or within 2 standard deviations of the mean). About % of the area is between z=-2 andz=2 (or within 2 standard deviations of the mean). (Round to two decimal places as needed.)

Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About % of the area is between z=-2 and z=2 (or within 2 standard deviations of the mean). About % of the area is between z=-2 andz=2 (or within 2 standard deviations of the mean). (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

### Educational Exercise on Standard Normal Distribution

**Task:**
Find the indicated area under the curve of the standard normal distribution, convert it to a percentage, and fill in the blank.

- About ______% of the area is between $ z = -2 $ and $ z = 2 $ (or within 2 standard deviations of the mean).
- About $\_\_\_\_$% of the area is between $ z = -2 $ and $ z = 2 $ (or within 2 standard deviations of the mean).

**Instructions:**
- Round to two decimal places as needed.
- Enter your answer in the answer box.

This exercise involves calculating the percentage of data that falls within two standard deviations from the mean in a standard normal distribution, a common application of statistics in various fields.

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