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 50 52 Screaming Demon 56 48 54 50 Long Flume 51 47 47 43 Method 1 Method 2 46 a. Set up the ANOVA table (to 1 decimal, if necessary) Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A Factor B Interaction Error Total

Explanation / Answer

we can solve this using the open source statistical package R

the R snippet is

# read the data into R dataframe
data.df<- read.csv("C:\Users\586645\Downloads\Chegg ide.csv",header=TRUE)
str(data.df)

# perform anova analysis
a<- aov(lm(Value~ Method*Ride,data=data.df))

#summarise the results
summary(a)

The resulting anova table is

> summary(a)
Df Sum Sq Mean Sq F value Pr(>F)
Method 1 33.33 33.33 3.333 0.118
Ride 2 56.00 28.00 2.800 0.138
Method:Ride 2 18.67 9.33 0.933 0.444 ## interaction term
Residuals 6 60.00 10.00 ## error term

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