A common final examination was administered to each student enrolled in Sociology 1 Introduction t Sociology. Students enrolled in daytime, evening, and online sections of this course were randomly selected, and their final examination scores were recorded. The sample data are compiled below. Section Final Examination Scores of Students in Sociology 1 Introduction to Sociology Daytime 86 77 64 88 81 75 90 78 59 66 Evening 76 53 86 65 85 84 74 61 89 70 Online 78 86 54 60 47 70 62 78 93 65 Conduct a hypothesis test, at the 5% level of significance, to determine whether the mean final examination score of Sociology 1 students enrolled in daytime, evening, and online sections are all equal.
A common final examination was administered to each student enrolled in Sociology 1 Introduction t Sociology. Students enrolled in daytime, evening, and online sections of this course were randomly selected, and their final examination scores were recorded. The sample data are compiled below. Section Final Examination Scores of Students in Sociology 1 Introduction to Sociology Daytime 86 77 64 88 81 75 90 78 59 66 Evening 76 53 86 65 85 84 74 61 89 70 Online 78 86 54 60 47 70 62 78 93 65 Conduct a hypothesis test, at the 5% level of significance, to determine whether the mean final examination score of Sociology 1 students enrolled in daytime, evening, and online sections are all equal.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:### Educational Content on Sociology 1 Examination Results
A common final examination was administered to each student enrolled in Sociology 1: Introduction to Sociology. Students enrolled in the daytime, evening, and online sections of this course were randomly selected, and their final examination scores were recorded. The sample data are compiled below:
#### Final Examination Scores of Students in Sociology 1
- **Daytime Section:**
- Scores: 86, 77, 64, 88, 81, 75, 78, 59, 66
- **Evening Section:**
- Scores: 76, 53, 86, 65, 85, 84, 74, 61, 89, 70
- **Online Section:**
- Scores: 78, 86, 54, 60, 47, 70, 62, 78, 93, 65
#### Analysis Task
Conduct a hypothesis test, at the 5% level of significance, to determine whether the mean final examination score of Sociology 1 students enrolled in daytime, evening, and online sections are all equal.
In this analysis, you will:
1. **Identify the Null and Alternative Hypotheses:**
- Null Hypothesis (\(H_0\)): The mean scores of the three sections (daytime, evening, online) are equal.
- Alternative Hypothesis (\(H_a\)): At least one section’s mean score is different.
2. **Select an Appropriate Statistical Test:**
- An ANOVA test is typically used for comparing the means of three or more groups.
3. **Determine Significance:**
- Use a significance level (\(\alpha\)) of 0.05 to evaluate the results.
4. **Interpreting Results:**
- After conducting the test, determine if \(H_0\) can be rejected or not based on the p-value obtained.
This exercise integrates statistical techniques into real-world academic assessment scenarios, enhancing data interpretation and evaluation skills.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
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.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman