As an admissions counselor, I am interested in understanding whether or not there is a difference in stress levels not only between different majors but also between different classes (Freshman v. Seniors). I gather the following data from students from three majors (Psychology, Chemistry, and Engineering), that are in their freshmen or senior years and ask them about their stress levels (scale of 1-10, with lower numbers meaning less stress). Using the data below, test whether there are effects of class, major, or an interaction between them at an alpha of 0.05. Psychology Chemistry Engineering Freshmen 3, 4, 4, 2, 4 4, 5, 7, 8, 4 5, 7, 7, 8, 5 Senior 4, 5, 5, 3, 5 8, 5, 6, 7, 7 9, 9, 8, 7, 9 What is the critical F value for major? ___________ What is the critical F value for class? ___________ What is the critical F value for the interaction between major and class? ___________
As an admissions counselor, I am interested in understanding whether or not there is a difference in stress levels not only between different majors but also between different classes (Freshman v. Seniors). I gather the following data from students from three majors (Psychology, Chemistry, and Engineering), that are in their freshmen or senior years and ask them about their stress levels (scale of 1-10, with lower numbers meaning less stress). Using the data below, test whether there are effects of class, major, or an interaction between them at an alpha of 0.05.
Psychology |
Chemistry |
Engineering |
|
Freshmen |
3, 4, 4, 2, 4 |
4, 5, 7, 8, 4 |
5, 7, 7, 8, 5 |
Senior |
4, 5, 5, 3, 5 |
8, 5, 6, 7, 7 |
9, 9, 8, 7, 9 |
- What is the critical F value for major?
___________
- What is the critical F value for class?
___________
- What is the critical F value for the interaction between major and class?
___________
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