**Understanding Normal Distributions***Problem Statement:*One graph in the figure represents a normal distribution with mean $ \mu = 7 $ and standard deviation $ \sigma = 1 $. The other graph represents a normal distribution with mean $ \mu = 12 $ and standard deviation $ \sigma = 1 $. Determine which graph is which and explain how you know.*Graph Description:*The diagram includes two normal distribution curves:- **Graph A** (in red)- **Graph B** (in blue)The graphs are labeled with numbers 7 and 12 along the horizontal axis, indicating the means of the distributions.*Options for the Correct Answer:*A. Graph A has a mean of $ \mu = 12 $ and graph B has a mean of $ \mu = 7 $ because a larger mean shifts the graph to the left.B. Graph A has a mean of $ \mu = 12 $ and graph B has a mean of $ \mu = 7 $ because a larger mean shifts the graph to the right.C. Graph A has a mean of $ \mu = 7 $ and graph B has a mean of $ \mu = 12 $ because a larger mean shifts the graph to the left.D. Graph A has a mean of $ \mu = 7 $ and graph B has a mean of $ \mu = 12 $ because a larger mean shifts the graph to the right.*Explanation:*In the context of normal distributions, increasing the mean $ \mu $ shifts the graph to the right. Therefore, Graph A corresponds to a mean of $ \mu = 7 $ and Graph B corresponds to a mean of $ \mu = 12 $. The correct choice is D.

From the given graph as follows: It can be seen that Graph A has mean 7 and Graph B has mean 12.Correct option is: D. Graph A has a mean of μ=7 and graph B has a mean of μ=12 because larger mean shifts the graph to the right.

Math

Statistics

One graph in the figure represents a normal distribution with mean u=7 and standard deviation o= 1. The other graph represents a normal distribution with mean p= 12 and standard deviation o = 1. Determine which graph is which and explain how you know. * 12 Choose the correct answer below. O A. Graph A has a mean of u = 12 and graph B has a mean of u=7 because a larger mean shifts the graph to the left. O B. Graph A has a mean of u = 12 and graph B has a mean of u=7 because a larger mean shifts the graph to the right. OC. Graph A has a mean of u = 7 and graph B has a mean of u = 12 because a larger mean shifts the graph to the left. O D. Graph A has a mean of u = 7 and graph B has a mean of u = 12 because a larger mean shifts the graph to the right.

One graph in the figure represents a normal distribution with mean u=7 and standard deviation o= 1. The other graph represents a normal distribution with mean p= 12 and standard deviation o = 1. Determine which graph is which and explain how you know. * 12 Choose the correct answer below. O A. Graph A has a mean of u = 12 and graph B has a mean of u=7 because a larger mean shifts the graph to the left. O B. Graph A has a mean of u = 12 and graph B has a mean of u=7 because a larger mean shifts the graph to the right. OC. Graph A has a mean of u = 7 and graph B has a mean of u = 12 because a larger mean shifts the graph to the left. O D. Graph A has a mean of u = 7 and graph B has a mean of u = 12 because a larger mean shifts the graph to the right.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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**Understanding Normal Distributions**

*Problem Statement:*

One graph in the figure represents a normal distribution with mean $ \mu = 7 $ and standard deviation $ \sigma = 1 $. The other graph represents a normal distribution with mean $ \mu = 12 $ and standard deviation $ \sigma = 1 $. Determine which graph is which and explain how you know.

*Graph Description:*

The diagram includes two normal distribution curves:

- **Graph A** (in red)
- **Graph B** (in blue)

The graphs are labeled with numbers 7 and 12 along the horizontal axis, indicating the means of the distributions.

*Options for the Correct Answer:*

A. Graph A has a mean of $ \mu = 12 $ and graph B has a mean of $ \mu = 7 $ because a larger mean shifts the graph to the left.

B. Graph A has a mean of $ \mu = 12 $ and graph B has a mean of $ \mu = 7 $ because a larger mean shifts the graph to the right.

C. Graph A has a mean of $ \mu = 7 $ and graph B has a mean of $ \mu = 12 $ because a larger mean shifts the graph to the left.

D. Graph A has a mean of $ \mu = 7 $ and graph B has a mean of $ \mu = 12 $ because a larger mean shifts the graph to the right.

*Explanation:*

In the context of normal distributions, increasing the mean $ \mu $ shifts the graph to the right. Therefore, Graph A corresponds to a mean of $ \mu = 7 $ and Graph B corresponds to a mean of $ \mu = 12 $. The correct choice is D.

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