In order to better prepare for her 8:00am classes, a statistics student designs an experiment to see how various strategies improve test scores. Completing homework assignments and eating a good breakfast are often said to be good ways to improve focus for class. She assigns half of her students homework assignments to practice and half no additional homework assignments. Within these groups, half of the participants are instructed to eat a balanced breakfast the morning of the test and the other half are asked to skip breakfast. She then measures exam performance on a test with scores ranging from 1-10.(50 points)

No Homework

Homework

Eating Breakfast

7

3

6

7

8

4

6

8

10

10

9

8

8

10

Skipping Breakfast

6

7

9

6

9

7

8

7

6

7

9

8

6

8

a)What kind of test would you need to run?

b)What is the independent variable (or factor)?

c)What is the dependent variable?

d)What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)?

e)Is the test significant? How do you know? (for some types of tests, this answer should include the post-hoc significance AS WELL as the overall significance)

f)What are the means that should be reported (If this is an ANOVA/factorial please include all means to be reported)?

g)What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context)