An amusement park studied methods for decreaing the waiting time(minutes) for ri
ID: 3180392 • Letter: A
Question
An amusement park studied methods for decreaing the waiting time(minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods havee 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
Log Flume
Use excel formulas :)
Roller Coaster Screaming DemonLog Flume
Method 1 41 52 50 43 44 46 Method 2 49 50 48 51 46 44Explanation / Answer
Answer:
An amusement park studied methods for decreaing the waiting time(minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods havee 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
Two factor ANOVA
Factor 2 type of ride
Means:
Roller Coaster
Screaming Demon
Log Flume
Method 1
42.0
48.0
48.0
46.0
Factor 1 Method
Method 2
50.0
48.0
46.0
48.0
46.0
48.0
47.0
47.0
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Method
12.00
1
12.000
1.20
.3153
type of ride
8.00
2
4.000
0.40
.6870
interaction
56.00
2
28.000
2.80
.1384
Error
60.00
6
10.000
Total
136.00
11
To test method effect,
Calculated F=1.20 which is < critical F( 1,6) =5.987. There is no significant method effect.
To test type of ride effect,
Calculated F=0.40 which is < critical F( 2,6) =5.143. There is no significant type of ride effect.
To test interaction effect,
Calculated F=2.80 which is < critical F( 1,6) =5.143. There is no significant interaction effect.
Two factor ANOVA
Factor 2 type of ride
Means:
Roller Coaster
Screaming Demon
Log Flume
Method 1
42.0
48.0
48.0
46.0
Factor 1 Method
Method 2
50.0
48.0
46.0
48.0
46.0
48.0
47.0
47.0
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Method
12.00
1
12.000
1.20
.3153
type of ride
8.00
2
4.000
0.40
.6870
interaction
56.00
2
28.000
2.80
.1384
Error
60.00
6
10.000
Total
136.00
11
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