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	Screaming Demon	Long Flume
Method 1	41	51	46
	43	43	42
Method 2	44	53	47
	46	49	43

1. Set up the ANOVA table (to 2 decimal, if necessary). Round p-value to four decimal places.
   

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

Answer 1

Output using excel:

Anova: Two-Factor With Replication
SUMMARY	Roller Coaster	Screaming Demon	Long Flume	Total
Method 1
Count	2	2	2	6
Sum	84	94	88	266
Average	42	47	44	44.33333
Variance	2	32	8	13.46667
Method 2
Count	2	2	2	6
Sum	90	102	90	282
Average	45	51	45	47
Variance	2	8	8	13.2
Total
Count	4	4	4
Sum	174	196	178
Average	43.5	49	44.5
Variance	4.333333	18.66667	5.666667
ANOVA
Source of Variation	SS	df	MS	F	P-value
Factor A	21.3333	1	21.3333	2.1333	0.1944
Factor B	68.6667	2	34.3333	3.4333	0.1014
Interaction	4.6667	2	2.3333	0.2333	0.7988
Error	60	6	10
Total	154.6667	11