In last week's lab, we looked at a 2007 study that was published investigating the effectiveness of three different homework methods (checking figures at various steps in the solution, a full solution and no solution) in students' learning outcomes, i.e. assisting students to learn the course material.

This year, researchers wondered if the way the homework method was presented, in person or online, might also be a factor in the improvement in the grades (the difference in the posttest and pre-test score).

Students were randomly assigned to a treatment group, and the difference was found between their post-test and pre-test score on the topic.

At the 5% significance level, can you conclude that Homework Method and Presentation Method interact in their effect on mean improvement score?

a. In the context of the problem, identify each of the following:

?Response Variable: Difference in the post test and pre-test score of the student

?List the factors (explanatory variables) and name the levels of each factor: Two levelsi ) Homework method was presented and ii) Homework method was presentedonline

?Number of treatment groups: Number of treatment groups are 3

b. Is the Additive Enough Condition met? Explain, referring to the interaction plot included on the Minitab output. Note that all the other assumptions were checked, and are met.

Yes. Additive Enough Condition met. From the interaction plot it is claer that there is significant interaction between Assist and Type Because there is differant average responce at Type 'In person' than that of type 'Online' for 'all Assist type'.

c. Which of the following is the correct hypothesis for this question?

Correct is (Ho: There is no interaction effect between Homework Method and Presentation Method on the mean improvement score for this population model of students

Ha: There is an interaction effect between Homework Method and Presentation Method on the mean improvement score for this population model of students)

1. Ho: There is an interaction effect between Homework Method and Presentation Method on the mean improvement score for this population model of students

Ha: There is no interaction effect between Homework Method and Presentation Method on the mean improvement score for this population model of students

2. Ho: There is no interaction effect between Homework Method and Presentation Method on the mean improvement score for this population model of students

Ha: There is an interaction effect between Homework Method and Presentation Method on the mean improvement score for this population model of students

3. Ho: There is no difference in mean improvement score between Homework Method and Presentation Method for this population model of students

Ha: There is a difference in mean improvement score between Homework Method and Presentation Method for this population model of students

4. Ho: There is a difference in mean improvement score between Homework Method and Presentation Method for this population model of students

Ha: There is no difference in mean improvement score between Homework Method and Presentation Method for this population model of students

d. State the value of the test statistic and p-value from the output.

e.Briefly assess the significance of the evidence..

f. State your conclusion in the context of the problem.

Interaction Plot for IMPROVE Data Means 3.0 ASSIST CHECK FULL NO 2.5 Mean 2.0 1.5 1.0- In Person Online Type