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
icon
Related questions
Question
100%
**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.
Transcribed Image Text:**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman