21. I want to assess the effects of diet (control diet, high-sugar diet, high-fat diet) and exercise (no voluntary running wheel, voluntary running wheel) on time spent in a target quadrant (more time indicates better memory). I record the percent time spent in a target quadrant for 30 mice and obtain the following data:
\begin{tabular}{|c|c|c|c|}
\hline & Control Diet & High-sugar Diet & High-fat diet \\
\hline No running wheel & \( 15,28,29,30,25 \) & \( 24,20,30,32,20 \) & \( 19,23,22,23,25 \) \\
\hline Running wheel & \( 30,34,35,44,32 \) & \( 21,22,28,26,29 \) & \( 30,32,28,19,26 \) \\
\hline
\end{tabular}
What type of factorial design is this? (ex: \# \( \mathrm{x} \) \#) \( \qquad \) What is the critical \( \mathrm{F} \) value you'll be making a decision based on (assume alpha \( =.05 \) )?
Diet: \( \qquad \)
Exercise: \( \qquad \)
Interaction: \( \qquad \)
22. True or false for each of the following questions (using the above data):
a. There is a significant main effect of diet
b. There is a significant main effect of exercise (running wheel)
c. There is a significant interaction
