# An amusement park studied methods for decreasing the waiting

Last updated: 2/5/2024

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 Method 1 Method 2 Roller Coaster Source of Variation Factor A method Factor B ride Interaction Error Total 40 42 50 52 Sum of Squares SSA SSB 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 SSAB Type of Ride Screaming Demon SSE 53 45 52 42 Degrees of Freedom a 1 b 1 a 1 b 1 ab r 1 Log Flume SST 07 1 abr 1 50 46 45 47 Mean Square MSA MSB MSAB a MSE SSA a 1 SSB b 1 SSAB 1 b 1 SSE ab r 1 F F F F MSA MSE MSB MSE MSAB MSE