In order to better prepare for her 8:00am classes, a statistics graduate student designs an experiment to see how various strategies improve test scores. Getting extra sleep and drinking coffee are often said to be good ways to improve focus in class. She assigns half of her participants to 4 hours of sleep the night before a test and the other half to 8 hours. Within these groups, half of the participants are given 50mg of caffeine the morning of the test and the other half are given 100mg of caffeine. She then measures exam performance on a test with scores ranging from 1-15. (35 points)

4 hours of sleep

8 hours of sleep

50mg of caffeine

10

7

9

7

10

8

9

14

12

15

11

12

10

12

100mg of caffeine

13

10

11

9

15

11

10

11

13

9

14

12

10

13

A. What test should you perform? Be as specific as possible.(5 points)

B.Write a sentence describing the main effect of caffeine (include statistical notation). If the main effect was significant, write a second sentence describing which group scored higher/lower.(7 points)

C. Write a sentence describing the main effect of sleep (include statistical notation). If the main effect was significant, write a second sentence describing which group scored higher/lower.(7 points)

D. Write a sentence describing if there was a significant interaction effect or not (include statistical notation). Note: you do not need to describe the different groups here.(8 points)

E. What do these results suggest? Is there an ideal sleep/caffeine combination that appears to be the most effective or particularly ineffective?(8 points)