An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a = 0.05. Type of Ride Roller Coaster Screaming Demon Log Flume 40 53 50 Method 1 42 45 46 50 52 45 Method 2 52 42 47 Step 1 This is a two-factor factorial experiment since the amusement park has collected data for the different methods of loading and unloading passengers and also different types of rides. Let factor A be the method of loading and unloading riders and let factor B be the type of ride. The ANOVA table for this experiment will have the following form. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor A, method SSA a-1 MSA = SSA a-1 MSA F= MSE SSB MSB Factor B, ride SSB b-1 MSB= F = b-1 MSE SSAB MSAB Interaction SSAB (a - 1)(b-1) MSAB= F = (a - 1)(b-1) MSE Error SSE ab(r - 1) MSE= SSE ab(r-1) Total SST n7-1 abr 1