Determine whether the following graph can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. www.> OA. Yes, the graph fulfills the properties of the normal distribution. The mean is approximately and the standard deviation is about (Type whole numbers.) OB. No, because the graph is skewed right. OC. No, because the graph crosses the x-axis. O D. No, because the graph is skewed left. 0 5 10 15 20 25 30 Q Q Could the graph represent a variable with a normal distribution? Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
Determine whether the following graph can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. www.> OA. Yes, the graph fulfills the properties of the normal distribution. The mean is approximately and the standard deviation is about (Type whole numbers.) OB. No, because the graph is skewed right. OC. No, because the graph crosses the x-axis. O D. No, because the graph is skewed left. 0 5 10 15 20 25 30 Q Q Could the graph represent a variable with a normal distribution? Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
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
![**Title: Understanding Normal Distributions**
---
**Determine whether the following graph can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation.**
*Graph Description:*
The graph is a bell-shaped curve plotted on a coordinate system with the x-axis ranging from 0 to 30, indicating the potential values of the variable. The curve peaks in the middle and tapers off symmetrically towards both ends, suggesting a normal distribution.
---
**Could the graph represent a variable with a normal distribution? Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.**
- ☐ **A.** Yes, the graph fulfills the properties of the normal distribution. The mean is approximately [__] and the standard deviation is about [__]. *(Type whole numbers.)*
- ☐ **B.** No, because the graph is skewed right.
- ☐ **C.** No, because the graph crosses the x-axis.
- ☐ **D.** No, because the graph is skewed left.
---
**Detailed Analysis of the Graph:**
- The graph visually appears to depict a classic bell-shaped curve characteristic of a normal distribution.
- The symmetry around the central peak suggests that it is not skewed to the right or left.
- The curve does not cross the x-axis, as it asymptotically approaches it, which is typical for a normal distribution.
In conclusion, option A would be correct if the goal is to identify the graph as a normal distribution and further estimation is required to provide the mean and standard deviation, which can be done by analyzing the central peak and the spread of the curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febc6c9e4-20c2-4aa0-9f79-b773de998cf1%2F06d40bd9-afca-4f36-a10c-c529ee963aa7%2Fi7zvz9_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Normal Distributions**
---
**Determine whether the following graph can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation.**
*Graph Description:*
The graph is a bell-shaped curve plotted on a coordinate system with the x-axis ranging from 0 to 30, indicating the potential values of the variable. The curve peaks in the middle and tapers off symmetrically towards both ends, suggesting a normal distribution.
---
**Could the graph represent a variable with a normal distribution? Explain your reasoning. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.**
- ☐ **A.** Yes, the graph fulfills the properties of the normal distribution. The mean is approximately [__] and the standard deviation is about [__]. *(Type whole numbers.)*
- ☐ **B.** No, because the graph is skewed right.
- ☐ **C.** No, because the graph crosses the x-axis.
- ☐ **D.** No, because the graph is skewed left.
---
**Detailed Analysis of the Graph:**
- The graph visually appears to depict a classic bell-shaped curve characteristic of a normal distribution.
- The symmetry around the central peak suggests that it is not skewed to the right or left.
- The curve does not cross the x-axis, as it asymptotically approaches it, which is typical for a normal distribution.
In conclusion, option A would be correct if the goal is to identify the graph as a normal distribution and further estimation is required to provide the mean and standard deviation, which can be done by analyzing the central peak and the spread of the curve.
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