In: Statistics and Probability
ROLLER COASTER | SCREAMING DEMON | LONG FLUME | |
METHOD 1 | 49 | 53 | 46 |
51 | 45 | 42 | |
METHOD 2 | 50 | 49 | 48 |
52 | 45 | 44 |
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 . 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 | 49 | 53 | 46 |
51 | 45 | 42 | |
Method 2 | 50 | 49 | 48 |
52 | 45 | 44 |
Set up the ANOVA table (to whole number, but -value to 2 decimals and value to 1 decimal, if necessary).
It limits what I can upload so I can't show you my output
This can be solved using excel<data<megastat<anova<two factor<Enter 2 replications
The output is as follows:
Two factor ANOVA | |||||
Factor 2 | |||||
Means: | |||||
Roller Coaster | Screaming Demon | Long Flume | |||
Method 1 | 50.0 | 49.0 | 44.0 | 47.7 | |
Factor 1 | Method 2 | 51.0 | 47.0 | 46.0 | 48.0 |
50.5 | 48.0 | 45.0 | 47.8 | ||
2 | replications per cell | ||||
ANOVA table | |||||
Source | SS | df | MS | F | p-value |
Factor 1 | 0.33 | 1 | 0.333 | 0.03 | .8611 |
Factor 2 | 60.67 | 2 | 30.333 | 3.03 | .1229 |
Interaction | 8.67 | 2 | 4.333 | 0.43 | .6671 |
Error | 60.00 | 6 | 10.000 | ||
Total | 129.67 | 11 |
The table is as follows up to two decimal places:
Source | SS | df | MS | F | p-value |
Factor 1 | 0.33 | 1.00 | 0.33 | 0.03 | 0.86 |
Factor 2 | 60.67 | 2.00 | 30.33 | 3.03 | 0.12 |
Interaction | 8.67 | 2.00 | 4.33 | 0.43 | 0.67 |
Error | 60.00 | 6.00 | 10.00 | ||
Total | 129.67 | 11.00 |
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