F11 5. (30 points) Olive & Marius published recently in the Journal of Improbable Experimental Data, an interesting paper in which they compare the consumption of (stale) pop corn (measured in grams) as a function of the size of the bucket in which the pop corn was presented (they used two sizes: large and small). Olive & Marius ran their experiment in four different (randomly chosen) movie theatres because these authors were wondering if the localization of the theatre could have an influence on the effect of the size of the bucket. They mentioned that they tested a total of forty subjects and that the within group mean square was equal to 100. They report their results in the following table: A: Movie Theatres #1 #2 #4 Marginal #3 Means B Big Bucket 39 41 41 39 40 Small Bucket 19 29 15 20 17 Marginal 30 Means 29 29 35 27 a. What is the dependent variable? b. What is/are the independent variable(s)? Indicate for each if it is fixed or random (justify your answer). C. What are the total number of levels in the experiment? d. How many subjects are included in each level of the experiment