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 50 48
45 42 44
Method 2 47 46 50
49 42 46
Set up the ANOVA table (to 2 decimal, if necessary). Round
p-value to four decimal places.
Source of VariationSum of SquaresDegrees of FreedomMean SquareF 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 significantThe
interaction of factors A and B is not significantItem 26
What is your recommendation to the amusement park?
| Source of Variation | SS | df | MS | F | P-value |
| factor A | 5.33 | 1 | 5.33 | 0.53 | 0.4927 |
| factor B | 8.00 | 2 | 4.00 | 0.40 | 0.6870 |
| Interaction | 18.67 | 2 | 9.33 | 0.93 | 0.4437 |
| Within | 60.00 | 6 | 10.00 | ||
| Total | 92.00 | 11 |
p-value for Factor A greater then 0.10
not significant
p-value for Factor B greater then 0.10
not significant
p-value for interaction: greater then 0.10
not significant
as method is not signifcant can use either of them
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