An amusement park studied methods for decreasing the waiting time (minutes) for

Question

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 = .05, Factor A is method of loading and unloading; Factor B is the type of ride Type of Ride Roller Coaster 41 43 Screaming Demon 50 42 48 Long Flume Method 1 48 Method 2 49 46 45 a. Set up the ANOVA table (to 1 decimal, if necessary) Mean Square Source of Variation Sum of Squares Degrees of Freedom 1.3 4.7 Factor A 1.3 0.1 Factor B 2 2.3 0.2 Interaction 0.7 2 0.3 0.0 Error 60 6 10 Total 66.7

Explanation / Answer

from above data ANOVA table

Source of Variation SS df MS F factor A 5.3333 1 5.3333 0.5333 factor B 20.6667 2 10.3333 1.0333 Interaction 4.6667 2 2.3333 0.2333 error 60.0000 6 10.0000 Total 90.6667 11

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