Homework Help is Here – Start Your Trial Now!
Math
Statistics
The figure below shows a randomization distribution based on 1000 simulated samples for hypotheses Ho:μ₁ = µ₂ VS H₁: M₁ M₂. The statistic used for each sample is D = ₁-₂. Which sample provides the strongest evidence against Ho? OD= 2.3 Aanbe 90- 80- 70 60 50 40 30- 20 10- 0 OD = 1.4 O Both provide equally strong evidence against Ho 0 Differences 1 2

The figure below shows a randomization distribution based on 1000 simulated samples for hypotheses Ho:μ₁ = µ₂ VS H₁: M₁ M₂. The statistic used for each sample is D = ₁-₂. Which sample provides the strongest evidence against Ho? OD= 2.3 Aanbe 90- 80- 70 60 50 40 30- 20 10- 0 OD = 1.4 O Both provide equally strong evidence against Ho 0 Differences 1 2

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
See similar textbooks
icon
Related questions
Question
### Randomization Distribution for Hypothesis Testing The figure below shows a randomization distribution based on 1000 simulated samples for hypotheses \( H_0: \mu_1 = \mu_2 \) vs \( H_a: \mu_1 \neq \mu_2 \). The statistic used for each sample is \( D = \bar{X}_1 - \bar{X}_2 \). Which sample provides the strongest evidence against \( H_0 \)? ![Graph showing randomization distribution](image-link) #### Graph Description: - **X-axis (Differences):** Represents the differences (\( D \)) between the sample means, ranging from -3 to 3. - **Y-axis (Frequency):** Represents the frequency of each difference observed in the 1000 simulated samples. - **Distribution Shape:** The distribution is approximately normal, centered around 0, indicating that under the null hypothesis, the differences between the sample means are likely to be close to zero. #### Question: Which sample provides the strongest evidence against \( H_0 \)? - \( D = 2.3 \) - \( D = 1.4 \) - Both provide equally strong evidence against \( H_0 \) **Considerations:** - Larger absolute values of \( D \) indicate stronger evidence against \( H_0 \). - Compare the given \( D \) values to the distribution to determine which is further from the center (0). ### Answer: * \( D = 2.3 \) provides the strongest evidence against \( H_0 \). This inference is based on the fact that \( D = 2.3 \) falls further from the center of the distribution compared to \( D = 1.4 \), suggesting it is less likely to occur under the null hypothesis.
Transcribed Image Text:### Randomization Distribution for Hypothesis Testing The figure below shows a randomization distribution based on 1000 simulated samples for hypotheses \( H_0: \mu_1 = \mu_2 \) vs \( H_a: \mu_1 \neq \mu_2 \). The statistic used for each sample is \( D = \bar{X}_1 - \bar{X}_2 \). Which sample provides the strongest evidence against \( H_0 \)? ![Graph showing randomization distribution](image-link) #### Graph Description: - **X-axis (Differences):** Represents the differences (\( D \)) between the sample means, ranging from -3 to 3. - **Y-axis (Frequency):** Represents the frequency of each difference observed in the 1000 simulated samples. - **Distribution Shape:** The distribution is approximately normal, centered around 0, indicating that under the null hypothesis, the differences between the sample means are likely to be close to zero. #### Question: Which sample provides the strongest evidence against \( H_0 \)? - \( D = 2.3 \) - \( D = 1.4 \) - Both provide equally strong evidence against \( H_0 \) **Considerations:** - Larger absolute values of \( D \) indicate stronger evidence against \( H_0 \). - Compare the given \( D \) values to the distribution to determine which is further from the center (0). ### Answer: * \( D = 2.3 \) provides the strongest evidence against \( H_0 \). This inference is based on the fact that \( D = 2.3 \) falls further from the center of the distribution compared to \( D = 1.4 \), suggesting it is less likely to occur under the null hypothesis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS