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= -1 and z= 1 (or within 1 standard deviation of the mean). ..... About % of the area is between z = -1 and z = 1 (or within 1 standard deviation 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= -1 and z= 1 (or within 1 standard deviation of the mean). ..... About % of the area is between z = -1 and z = 1 (or within 1 standard deviation 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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Question
6.1-6
![**Title: Understanding Areas Under the Standard Normal Distribution Curve**
**Objective:**
Calculate and interpret the area under the curve of the standard normal distribution, converting it to a percentage.
---
**Instructions:**
1. **Determine the Area:**
- Identify the area under the standard normal distribution curve between z = -1 and z = 1.
- This range signifies the area that lies within one standard deviation from the mean.
2. **Convert to Percentage:**
- Express the area as a percentage of the total distribution.
3. **Fill in the Blank:**
- **Prompt:** About ______ % of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
- **Answer:** About [ ]% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
4. **Final Note:**
- Ensure to round your answer to two decimal places, if necessary.
---
By completing this exercise, learners will understand how a significant portion of data in a normal distribution falls within a specified range, illustrating the empirical rule's application.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12d9946b-1c78-40d9-ae41-75de22b19971%2F7677fd18-3f6e-41a7-aa82-1da32885dc29%2Fpt0r7y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Areas Under the Standard Normal Distribution Curve**
**Objective:**
Calculate and interpret the area under the curve of the standard normal distribution, converting it to a percentage.
---
**Instructions:**
1. **Determine the Area:**
- Identify the area under the standard normal distribution curve between z = -1 and z = 1.
- This range signifies the area that lies within one standard deviation from the mean.
2. **Convert to Percentage:**
- Express the area as a percentage of the total distribution.
3. **Fill in the Blank:**
- **Prompt:** About ______ % of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
- **Answer:** About [ ]% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
4. **Final Note:**
- Ensure to round your answer to two decimal places, if necessary.
---
By completing this exercise, learners will understand how a significant portion of data in a normal distribution falls within a specified range, illustrating the empirical rule's application.
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