A memory test was conducted on 3 subjects Over 6 days each s

A memory test was conducted on 3 subjects. Over 6 days, each subject was given a cup of coffee at a different time (early morning, mid morning, late morning, early afternoon, mid afternoon and late afternoon) and then asked to conduct a memory test. The time it took to complete the test under each caffeine treatment was recorded and the data appear below:

Subject

Coffee 1

Coffee 2

Coffee 3

Coffee 4

Coffee 5

Coffee 6

1

22

16

38

28

24

34

2

26

17

36

32

30

33

3

28

24

41

31

32

36

A. State the dependent and independent variables in this experiment.

B. State the hypothesis for this experiment.

C. Complete the ANOVA table and find F_obs (show your work)

D. Find F_crit and state what decision you make about the statistical hypothesis. Use alpha=0.05

E. Find the Tukey CD and determine which pairwise differences are statistically significant.

F. Find the ² and indicate what it represents in the context of this experiment.

Solution