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 a= .05. Factor A is method of loading and unloading; Factor B is the type of ride.

A. Set up the ANOVA table

B.The p-value for Factor A is?

C. The p-value for Factor B is

D. The p-value for the interaction of factors A and B is?

Roller Coaster Screaming Demon Long Flume Method 1 46 50 48 48 42 44 Method 2 47 49 48 49 45 44

Explanation / Answer

A) The result after running ANOVA in Excel is the following:-

B) The p-value for Factor A is 0.7275.

C) The p-value for Factor B is 0.7988.

D) The p-value for the interaction of factors A and B is 0.9674 .

Anova: Two-Factor With Replication SUMMARY Roller Coaster Screaming Demon Long Flume Total Method 1 Count 2 2 2 6 Sum 94 92 92 278 Average 47 46 46 46.33333333 Variance 2 32 8 8.666666667 Method 2 Count 2 2 2 6 Sum 96 94 92 282 Average 48 47 46 47 Variance 2 8 8 4.4 Total Count 4 4 4 Sum 190 186 184 Average 47.5 46.5 46 Variance 1.666666667 13.66666667 5.333333333 ANOVA Source of Variation Sum of Squares Degrees of Freedom Mean Square F P-value F crit Factor A (Method) 1.333333333 1 1.333333333 0.133333333 0.727526777 5.987377607 Factor B (Ride) 4.666666667 2 2.333333333 0.233333333 0.798752675 5.14325285 Interaction 0.666666667 2 0.333333333 0.033333333 0.967393915 5.14325285 Error 60 6 10 Total 66.66666667 11

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