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 | 48 |
| 45 | 43 | 44 | |
| Method 2 | 50 | 46 | 51 |
| 52 | 42 | 47 | |
Set up the ANOVA table (to 2 decimal, if necessary). Round p-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 |
The p-value for Factor A is Selectless than .01between
.01 and .025between .025 and .05between .05 and .10greater than
.10Item 21
What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem
22
The p-value for Factor B is Selectless than .01between
.01 and .025between .025 and .05between .05 and .10greater than
.10Item 23
What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem
24
The p-value for the interaction of factors A and B is
Selectless than .01between .01 and .025between .025 and .05between
.05 and .10greater than .10Item 25
What is your conclusion with respect to the interaction of Factors
A and B?
SelectThe interaction of factors A and B is significant interaction
of factors A and B is not significant item 26
What is your recommendation to the amusement park?
applying two way ANOVA:
| Source of Variation | SS | df | MS | F | P-value |
| factor A | 16.33 | 1 | 16.33 | 1.63 | 0.2485 |
| factor B | 10.67 | 2 | 5.33 | 0.53 | 0.6121 |
| Interaction | 50.67 | 2 | 25.33 | 2.53 | 0.1594 |
| error | 60.00 | 6 | 10.00 | ||
| Total | 137.67 | 11 |
p-value for Factor A is greater than .10
What is your conclusion with respect to Factor A? : Factor A is not significant
p-value for Factor B is greater than .10
What is your conclusion with respect to Factor B? : Factor B is not significant
The p-value for the interaction of factors A and B is greater than .10
What is your conclusion with respect to the interaction of Factors A and B? interaction of factors A and B is not significant
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