In: Statistics and Probability
My Research Methods class (N = 14) was interested in whether studying alone or in groups would result in better grades on their third assignment. Half of the class (n = 7) studied for the assignment alone, while the other half (n = 7) studied as a group. Their grades are summarized in the below tables:
|
Study Alone |
|
|
Student |
Grade |
|
1 |
78% |
|
2 |
97% |
|
3 |
79% |
|
4 |
90% |
|
5 |
91% |
|
6 |
74% |
|
7 |
72% |
|
Study in Group |
|
|
Student |
Grade |
|
8 |
72% |
|
9 |
89% |
|
10 |
77% |
|
11 |
87% |
|
12 |
89% |
|
13 |
77% |
|
14 |
69% |
1. What are the upper and lower boundaries of the range of differences between two μs that you can say with 95% confidence contains the difference represented by the above sample?
2. Using Cohen’s d, calculate the effect size of studying alone vs. in a group on the grade obtained. What is the strength of this relationship and why?