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 α = .05 Factor A is method of loading and unloading; Factor B is the type of ride Type of Ride Roller Coaster 41 43 49 51 Screaming Demon Log Flume 50 46 48 Method 1 52 Method 2 50 46 a. Set up the ANOVA table (to 1 decimal, if necessary). Round p-value to four decimal places Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Factor A Factor B Interaction Error Total

Answer 1

Anova: Two-Factor With Replication
SUMMARY	Roller Coaster	Screaming Demon	Flue Flume	Total
Method 1
Count	2	2	2	6
Sum	84	96	96	276
Average	42	48	48	46
Variance	2	32	8	18
Method 2
Count	2	2	2	6
Sum	100	96	92	288
Average	50	48	46	48
Variance	2	8	8	6.8
Total
Count	4	4	4
Sum	184	192	188
Average	46	48	47
Variance	22.667	13.333	6.667

ANOVA
Source of Variation	Sum of squares	Degree of Freedom	mean square	F	P-value
Factor A	12	1	12	1.2	0.3153
Factor B	8	2	4	0.4	0.6870
Interaction	56	2	28	2.8	0.1384
Error	60	6	10
Total	136	11