17. A researcher is interested in seeing if the amount of protein in a pigeon's feed influences the rate at which the pigeon pecks a key to receive a reward. She randomly assigns the pigeons to one of the three different types of feed: Type A, which has a large amount of protein; Type B, which had a moderate amount of protein; and Type C, which had very little protein. Are their significant differences in the rate of pecking based on food type? The data follows: Type A Type B Type C K= 20 30 20 25 35 35 25 35 40 20 35 40 30 35 45 n= N XI- XI = EXI = EX, = [XJ = EXI = EX' = a. Is this a between-subjects design or within- subjects design? (1 point) b. What is the independent variable? (1 point) c. What are the levels of the independent variable? (1 point) d. What is the dependent variable? (1 point) g. Calculate sum of squares (SS) for SSwul, SSbg, and SSwg (3 points) - add the numbers to the source table below h. Complete the rest of the source table by computing the df, MS, and F value. (3 points) Variance Sum of Squares Degrees of Mean Square (MS) F P Source (SS) Freedom (df) Between- groups Within- groups Total i. What is the critical value? (I point) j. Is there a significant difference between the groups? (2 point) YES OR NO