An amusement park studied methods for decreasing the waiting time (minutes) for
ID: 3229590 • 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 a = .05. Factor A is method of loading and unloading; Factor B is the type of ride. a. Set up the ANOVA table (to 1 decimal, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor A Factor B Interaction Error Total b. The p - value for Factor A is What is your conclusion with respect to Factor A? c. The p - value for Factor B is What is your conclusion with respect to Factor B? d. The p - value for the interaction of factors A and B is What is your conclusion with respect to the interaction of Factors A and B? e. What is your recommendation to the amusement park?Explanation / Answer
Answer:
Two factor ANOVA
Factor B
Means:
Roller
Screeming
Long fume
Method1
43.0
49.0
50.0
47.3
Factor A
Method2
50.0
51.0
49.0
50.0
46.5
50.0
49.5
48.7
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor A
21.3
1
21.3
2.1
.1944
Factor B
28.7
2
14.3
1.4
.3099
Interaction
32.7
2
16.3
1.6
.2714
Error
60.0
6
10.0
Total
142.7
11
P value for factor A : 0.1944
Do not reject Ho.
P value for factor B : 0.3099
Do not reject Ho.
P value for interaction : 0.2714
Do not reject Ho.
Type of ride and methods are not significant.
Two factor ANOVA
Factor B
Means:
Roller
Screeming
Long fume
Method1
43.0
49.0
50.0
47.3
Factor A
Method2
50.0
51.0
49.0
50.0
46.5
50.0
49.5
48.7
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor A
21.3
1
21.3
2.1
.1944
Factor B
28.7
2
14.3
1.4
.3099
Interaction
32.7
2
16.3
1.6
.2714
Error
60.0
6
10.0
Total
142.7
11
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