Which of the following is true about the areas described O The area in the range from z = 0 to z = 1 is the same as the area in the range from z = 1 to z = 2. O 95% of the observations have values twice that of the mean. O Fewer than 1% of the observations are three standard deviations above or below the mean. O Roughly 50% of the observations are located at the mean of the distribution. O The area below the mean is greater than the area above the mean.
Which of the following is true about the areas described O The area in the range from z = 0 to z = 1 is the same as the area in the range from z = 1 to z = 2. O 95% of the observations have values twice that of the mean. O Fewer than 1% of the observations are three standard deviations above or below the mean. O Roughly 50% of the observations are located at the mean of the distribution. O The area below the mean is greater than the area above the mean.
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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![**DTAL – AP Statistics - Unit 1 - 22-23**
**MICHAEL, DANAYSHA**
---
**Question:**
Which of the following is true about the areas described under the normal curve?
1. The area in the range from \( z = 0 \) to \( z = 1 \) is the same as the area in the range from \( z = 1 \) to \( z = 2 \).
2. 95% of the observations have values twice that of the mean.
3. Fewer than 1% of the observations are three standard deviations above or below the mean.
4. Roughly 50% of the observations are located at the mean of the distribution.
5. The area below the mean is greater than the area above the mean.
---
**Note:** The link provided seems to be a validation link for student access, directing to a specific page on a website likely related to educational content or testing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb845ac35-162e-4da5-a6d5-ce13a46079d9%2Fe137e357-8ad4-460f-a719-ec32b46c062c%2Fzptsal_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**DTAL – AP Statistics - Unit 1 - 22-23**
**MICHAEL, DANAYSHA**
---
**Question:**
Which of the following is true about the areas described under the normal curve?
1. The area in the range from \( z = 0 \) to \( z = 1 \) is the same as the area in the range from \( z = 1 \) to \( z = 2 \).
2. 95% of the observations have values twice that of the mean.
3. Fewer than 1% of the observations are three standard deviations above or below the mean.
4. Roughly 50% of the observations are located at the mean of the distribution.
5. The area below the mean is greater than the area above the mean.
---
**Note:** The link provided seems to be a validation link for student access, directing to a specific page on a website likely related to educational content or testing.
Expert Solution
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Step 1
Normal curve is symmetric about the mean. The total are under a normal curve is 1. The area under the normal curve for a specific interval is the probability for the data values lies in that interval. in the standard normal curve denotes the mean value. Using these facts of the normal curve the correct option is determined.
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