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 alpha=.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 46 52 48 48 44 44 Method 2 47 46 52 49 42 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 -value Factor A Factor B Interaction Error Total 1. The P-value for Factor A is? A. less than .01 B. between .01 and .025 C. between .025 and .05 D.between .05 and .10 E.greater than .10 2. What is your conclusion with respect to Factor A? A. Factor A is significant B. Factor A is not significant 3. The p-value for Factor B is? A. less than .01 B. between .01 and .025 C. between .025 and .05 D. between .05 and .10 E. greater than .10 4. What is your conclusion with respect to Factor B? A. Factor B is significant B. Factor B is not significant 5. The P-value for the interaction of factors A and B is? A. less than .01 B. between .01 and .025 C. between .025 and .05 D. between .05 and .10 E. greater than .10 6. What is your conclusion with respect to the interaction of Factors A and B? A. The interaction of factors A and B is significant B. The interaction of factors A and B is not significant 7. What is your recommendation to the amusement park? A. Use method 1; it has a lower sample mean waiting time and is the best method B. Withhold judgment; take a larger sample before making a final decision C. Since method is not a significant factor, use either loading and unloading method
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 alpha=.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 | 46 | 52 | 48 |
| 48 | 44 | 44 | |
| Method 2 | 47 | 46 | 52 |
| 49 | 42 | 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 | -value | |
| Factor A | |||||
| Factor B | |||||
| Interaction | |||||
| Error | |||||
| Total |
1. The P-value for Factor A is?
A. less than .01
B. between .01 and .025
C. between .025 and .05
D.between .05 and .10
E.greater than .10
2. What is your conclusion with respect to Factor A?
A. Factor A is significant
B. Factor A is not significant
3. The p-value for Factor B is?
A. less than .01
B. between .01 and .025
C. between .025 and .05
D. between .05 and .10
E. greater than .10
4. What is your conclusion with respect to Factor B?
A. Factor B is significant
B. Factor B is not significant
5. The P-value for the interaction of factors A and B is?
A. less than .01
B. between .01 and .025
C. between .025 and .05
D. between .05 and .10
E. greater than .10
6. What is your conclusion with respect to the interaction of Factors A and B?
A. The interaction of factors A and B is significant
B. The interaction of factors A and B is not significant
7. What is your recommendation to the amusement park?
A. Use method 1; it has a lower sample mean waiting time and is the best method
B. Withhold judgment; take a larger sample before making a final decision
C. Since method is not a significant factor, use either loading and unloading method
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