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 48 50 48 50 Screaming Demon 53 45 51 47 Long Flume 45 41 50 46 Method 1 Method 2 a. Set up the ANOVA table (to 1 decimal, if necessary). Round p-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Factor A Factor B Interaction Error Total

Explanation / Answer

applying two way ANOVA on above data:

b) A is greater than alpha

not significant

c)  

greater than alpha

not significant

d)

greater than alpha

not significant

e) park can use any method for loading and unloading

Source of Variation SS df MS F P-value factor A 8.3 1 8.3 0.8 0.3965 factor B 32.7 2 16.3 1.6 0.2714 Interaction 16.7 2 8.3 0.8 0.4793 error 60.0 6 10 Total 117.7 11

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