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 alpha = .05. Factor A is method of loading and unloading Factor B is the type of ride. Set up the ANOVA table (to 1 decimal, if necessary). The p-value for Factor A is What is your conclusion with respect to Factor A? The p-value for Factor B is What is your conclusion with respect to Factor B? The p-value for the interaction of factors A and B is

Explanation / Answer

ANOVA for two factors with replication in excel

a)

b) p value for Factor A is 0.396 > 0.05 so we accept H0 at 5% l.o.s. the means of each method of loading and unloading are equal.

c) pvalue for Factor B is 0.151 > 0.05 so we accept H0 at 5% l.o.s the means of each riding type are equal.

d) p value for the interaction of factors A and B is 0.563 > 0.05 so we accept H0 at 5% l.o.s. there is no interaction between method and type of riding.

ANOVA Source of Variation SS df MS F P-value F crit Factor A 8.333333 1 8.333333 0.833333 0.396508 5.987378 Factor B 52.66667 2 26.33333 2.633333 0.151031 5.143253 Interaction 12.66667 2 6.333333 0.633333 0.562922 5.143253 Within 60 6 10 Total 133.6667 11

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