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An amusement park studied methods for decreasing the waiting time (minutes) for

ID: 3226477 • Letter: A

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.

A.Set up the ANOVA table (to 1 decimal, if necessary).

B.The p-value for Factor A is Select:

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 significantItem 19

C.The p-value for Factor B is Select

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?
SelectFactor B is significant

Factor B is not significantItem 21

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

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

Type of Ride Roller Coaster Screaming Demon Long Flume Method 1 43 53 46 45 45 42 Method 2 44 50 51 46 46 47

Explanation / Answer

B) greater than .10

Factor A is not significant

c)greater than .10

Factor B is not significant

D)greater than .10

The interaction of factors A and B is not significant

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

Source of Variation SS df MS F P-value F crit Factor A 8.333 1 8.3333 0.8333 0.3965 5.9874 Factor B 32 2 16.0000 1.6000 0.2774 5.1433 Interaction 18.667 2 9.3333 0.9333 0.4437 5.1433 Error 60 6 10 Total 119 11
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