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 43 51 50

45 43 46

Method 2 45 54 49

47 50 45

1. Set up the ANOVA table (to 2 decimal, if necessary). Roundp-value to four decimal places.
2. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value

Factor A

Factor B

Interaction

Error

Total

1. Thep-value for Factor A isSelect
2. less than .01
3. between .01 and .025
4. between .025 and .05
5. between .05 and .10
6. greater than .10

1. What is your conclusion with respect to Factor A?
2. Select
3. Factor A is significant
4. Factor A is not significant
5. Item 22
8. Thep-value for Factor B isSelect
9. less than .01
10. between .01 and .025
11. between .025 and .05
12. between .05 and .10
13. greater than .10
14. Item 23
17. What is your conclusion with respect to Factor B?
18. Select
19. Factor B is significant
20. Factor B is not significant
21. Item 24
24. Thep-value for the interaction of factors A and B isSelect
25. less than .01
26. between .01 and .025
27. between .025 and .05
28. between .05 and .10
29. greater than .10
30. Item 25
33. What is your conclusion with respect to the interaction of Factors A and B?
34. Select
35. The interaction of factors A and B is significant
36. The interaction of factors A and B is not significant
37. Item 26
40. What is your recommendation to the amusement park?
41. Select
42. Use method 1; it has a lower sample mean waiting time and is the best method
43. Withhold judgment; take a larger sample before making a final decision
44. Since method is not a significant factor, use either loading and unloading method
45. Item 27