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 @= 0 5. Factor A is method of loading and unloading; Factor B is the type of ride.

Type of Ride
Roller Coaster   Screaming Demon    LongFlume
Method 1   48   52   47
50   44   43
Method 2   50   53   52
52   49   48

Set up the ANOVA table (to whole number, but p-value to 2 decimals and F value to 1 decimal, if necessary).

Source of Variation   Sum of Squares   Degrees of Freedom   Mean Square       F p-value
Factor A  
Factor B  
Interaction  
Error  

Total  
      
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

What is your conclusion with respect to the interaction of Factors A and B?

What is your recommendation to the amusement park?

Answer 1