An amusement park studied methods for decreasing the waiting time (minutes) for
ID: 3148007 • Letter: A
Question
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 50 52 Screaming Demon 56 48 54 50 Long Flume 51 47 47 43 Method 1 Method 2 46 a. Set up the ANOVA table (to 1 decimal, if necessary) Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A Factor B Interaction Error TotalExplanation / Answer
Two factor ANOVA
Type of ride
Means:
Roller
Screaming
Long Flume
Method1
46.0
46.0
47.0
46.3
Factor 1
Method2
47.0
46.0
48.0
47.0
46.5
46.0
47.5
46.7
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Method
1.33
1
1.333
0.13
.7275
Type of ride
4.67
2
2.333
0.23
.7988
Interaction
0.67
2
0.333
0.03
.9674
Error
60.00
6
10.000
Total
66.67
11
Two factor ANOVA
Type of ride
Means:
Roller
Screaming
Long Flume
Method1
46.0
46.0
47.0
46.3
Factor 1
Method2
47.0
46.0
48.0
47.0
46.5
46.0
47.5
46.7
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Method
1.33
1
1.333
0.13
.7275
Type of ride
4.67
2
2.333
0.23
.7988
Interaction
0.67
2
0.333
0.03
.9674
Error
60.00
6
10.000
Total
66.67
11
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