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 Long Flume 47 43 48 Roller Coaster Screaming Demon 51 43 45 41 Method 1 42 Method 2 46 a. Set up the ANOVA table (to 1 decimal, if necessary). Round -value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A Factor 8 Interaction Error Total F p-value b. The p-value for Factor A is Select What is your conclusion with respect to Factor A? Select C. The p-value for Factor B is Select What is your conclusion with respect to Factor B? Select d. The p-value for the interaction of factors A and B is Select What is your conclusion with respect to the interaction of Factors A and B? Select e. What is your recommendation to the amusement park? Select

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)

> summary(a)
Df Sum Sq Mean Sq F value Pr(>F)
Method 1 0.33 0.333 0.033 0.861 ## as the p value is not less than 0.05 , hence not signficant
Ride 2 4.67 2.333 0.233 0.799 ## as the p value is not less than 0.05 , hence not signficant
Method:Ride 2 20.67 10.333 1.033 0.412 ## as the p value is not less than 0.05 , hence not signficant
Residuals 6 60.00 10.000

Hence the amusement park should not make any changes as there is no signficant main effect or interaction effect between type of rides and the methods of loading and unloading

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