In: Statistics and Probability
A researcher took a sample of 14 students and put them into three different groups. The three different groups are taught the same materials but using a different teaching style. The styles are either in class, hybrid, or online. The students are graded between 0 and 20 for the final grades. The individual grades by groups is shown below. The group standard deviation is also shown below. You are hired to test if teaching style has an impact on the average grade in each group. Use an alpha of .05 for this study.
In Class |
Hybrid |
Fully Online |
Group 1 |
Group 2 |
Group 3 |
7 |
6 |
9 |
13 |
11 |
8 |
6 |
3 |
13 |
15 |
1 |
14 |
4 |
9 |
|
Standard Deviation Group 1 |
Standard Deviation Group 2 |
Standard Deviation Group 3 |
5 |
4 |
3 |
What are the null hypotheses and alternative hypotheses for the test? (2)
What are the requirements for an ANOVA test, what is the critical value for our distribution? (1)
What is the mean square between of the model? What does it measure? (2)
What is the mean square within of the model? What does it measure? (2)
What is the critical value for this distribution and what is the sample statistics for the data? (2)
Do we reject or fail to reject the null hypotheses? (1)