ing three independent ndom samples normally distribut populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. Summary Statistics: Mean Standard Deviation Sample Size Work Study 12.854 14.51 15.424 Co-op Internship 132.542 48 Work Study vs. Co-op 0.5487 Work Study vs. Internship 1.8888 Co-op vs. Internship 0.449 ANOVA Table: Source SS df MS F P-value Between 44.4586 2 22.2293 11.6086 8.3E-5 Within 88.0834 46 1.9149 Total 15 24 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? 10 Yes Yes No ✓
ing three independent ndom samples normally distribut populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. Summary Statistics: Mean Standard Deviation Sample Size Work Study 12.854 14.51 15.424 Co-op Internship 132.542 48 Work Study vs. Co-op 0.5487 Work Study vs. Internship 1.8888 Co-op vs. Internship 0.449 ANOVA Table: Source SS df MS F P-value Between 44.4586 2 22.2293 11.6086 8.3E-5 Within 88.0834 46 1.9149 Total 15 24 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? 10 Yes Yes No ✓
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

Transcribed Image Text:### Analysis of Starting Hourly Wages by Group Type Using ANOVA
This page provides an analysis of starting hourly wages across three different group types: Work Study, Co-op, and Internship. A one-way ANOVA was used to determine if there were significant differences between the means of these groups, with a significance level (α) of 0.10.
#### Summary Statistics
| Group Type | Mean | Standard Deviation | Sample Size |
|---------------|-------|--------------------|-------------|
| Work Study | 12.854| 0.5487 | 15 |
| Co-op | 14.510| 1.8888 | 24 |
| Internship | 15.424| 0.449 | 10 |
#### ANOVA Table
The ANOVA table below summarizes the results:
| Source | SS (Sum of Squares) | df (Degrees of Freedom) | MS (Mean Square) | F | P-value |
|----------|---------------------|------------------------|------------------|---------|----------|
| Between | 44.4586 | 2 | 22.2293 | 11.6086 | 8.3E-5 |
| Within | 88.0834 | 46 | 1.9149 | | |
| Total | 132.542 | 48 | | | |
The ANOVA results indicate a statistically significant difference in means (P-value < α = 0.10).
#### Bonferroni Test for Pairwise Comparisons
To identify which specific group means are significantly different, a Bonferroni test was conducted with paired comparisons:
| Comparison | Statistically Significant Difference? |
|------------------------|---------------------------------------|
| Work Study vs. Co-op | Yes |
| Work Study vs. Internship | Yes |
| Co-op vs. Internship | No |
These results show that there are significant differences in the means between Work Study vs. Co-op and Work Study vs. Internship, but not between Co-op and Internship. This suggests that the type of position may influence starting hourly wages.
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 5 steps with 3 images

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