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True or false: Consider two normal curves. If the first one has a larger mean than the second one, then it also has a larger standard deviation than the second one.

True or false: Consider two normal curves. If the first one has a larger mean than the second one, then it also has a larger standard deviation than the second one.

MATLAB: An Introduction with Applications
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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### Statistical Concepts and Practice **Question:** True or false: Consider two normal curves. If the first one has a larger mean than the second one, then it also has a larger standard deviation than the second one. **Options:** - False - True **Explanation:** In statistics, a normal curve (or normal distribution) is determined by two parameters: the mean and the standard deviation. The mean determines the center of the distribution, while the standard deviation determines the spread or width of the distribution. It is important to note that these two parameters are independent of each other. This means that the value of the mean does not affect the value of the standard deviation directly. Therefore, it is not necessarily true that a normal curve with a larger mean will also have a larger standard deviation compared to another curve with a smaller mean. In this context, the correct answer is: - False
Transcribed Image Text:### Statistical Concepts and Practice **Question:** True or false: Consider two normal curves. If the first one has a larger mean than the second one, then it also has a larger standard deviation than the second one. **Options:** - False - True **Explanation:** In statistics, a normal curve (or normal distribution) is determined by two parameters: the mean and the standard deviation. The mean determines the center of the distribution, while the standard deviation determines the spread or width of the distribution. It is important to note that these two parameters are independent of each other. This means that the value of the mean does not affect the value of the standard deviation directly. Therefore, it is not necessarily true that a normal curve with a larger mean will also have a larger standard deviation compared to another curve with a smaller mean. In this context, the correct answer is: - False
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