Question

y 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.

	Type of Ride
	Roller Coaster	Screaming Demon	Long Flume
Method 1	44	55	50
	46	47	46
Method 2	46	47	49
	48	43	45

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

Answer 1

Anova: Two-Factor With Replication
SUMMARY	Roller Coaster	Screaming Demon	Long Flume	Total
Method 1
Count	2	2	2	6
Sum	90	102	96	288
Average	45	51	48	48
Variance	2	32	8	15.6
Method 2
Count	2	2	2	6
Sum	94	90	94	278
Average	47	45	47	46.33333
Variance	2	8	8	4.666667
Total
Count	4	4	4
Sum	184	192	190
Average	46	48	47.5
Variance	2.666667	25.33333	5.666667
ANOVA
Source of Variation	SS	df	MS	F	P-value
Factor A	8.3	1	8.3	0.8	0.40
Factor B	8.7	2	4.3	0.4	0.67
Interaction	32.7	2	16.3	1.6	0.27
Error	60	6	10
Total	109.7	11

The p-value for Factor A is greater than .10

Conclusion with respect to Factor A:

Factor A is not significant.

--

The p-value for Factor B is greater than .10

Conclusion with respect to Factor B:

Factor B is not significant.

--

The p-value for the interaction of factors A and B is greater than .10

Conclusion with respect to the interaction of Factors A and B:

The interaction of factors A and B is not significant.