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

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 Screaming Demon Long Flume

Method 1 44 51 52

46 43 48

Method 2 49 46 47

51 42 43

a. Set up the ANOVA table (to 2 decimal, if necessary). Roundp-value to four decimal places.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value

Factor A _ _ _ _ _

Factor B _ _ _ _ _

Interaction _ _ _ _ _

Error _ _ _

Total _ _

b. Thep-value for Factor A isSelect

less than .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10

What is your conclusion with respect to Factor A? Select

Factor A is significant

Factor A is not significant

c. Thep-value for Factor B isSelect

less than .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10

What is your conclusion with respect to Factor B? Select

Factor B is significant

Factor B is not significant

d. Thep-value for the interaction of factors A and B isSelect

less than .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10

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

The interaction of factors A and B is significant

The interaction of factors A and B is not significant

e. What is your recommendation to the amusement park? Select

Use method 1; it has a lower sample mean waiting time and is the best method

Withhold judgment; take a larger sample before making a final decision

Since method is not a significant factor, use either loading and unloading method

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