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An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and...

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 41 51 47
43 43 43
Method 2 46 49 47
48 45 43

Set up the ANOVA table (to whole number, but -value to 2 decimals and  value to 1 decimal, if necessary).

Source of Variation Sum of Squares Degrees of Freedom Mean Square -value
Factor A
Factor B
Interaction
Error
Total

Homework Answers

Answer #1

using excel>data >data analysis>two way ANOVA with replication

we have

SUMMARY Roller Coaster Screaming Demon Long Flume Total
Method 1
Count 2 2 2 6
Sum 84 94 90 268
Average 42 47 45 44.66667
Variance 2 32 8 13.46667
Method 2
Count 2 2 2 6
Sum 94 94 90 278
Average 47 47 45 46.33333
Variance 2 8 8 4.666667
Total
Count 4 4 4
Sum 178 188 180
Average 44.5 47 45
Variance 9.666667 13.33333 5.333333
ANOVA
Source of Variation SS df MS F P-value
Factor A 8 1 8 0.8 0.40
Factor B 14 2 7 0.7 0.53
Interaction 17 2 9 0.8 0.48
Within 60 6 10
Total 99 11
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