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 = 0.05.

	Type of Ride
	Roller Coaster	Screaming Demon	Log Flume
Method 1	41	54	48
	43	46	44
Method 2	49	48	50
	51	44	46

a) Find the value of the test statistic for method of loading and unloading.

Find the p-value for method of loading and unloading. (Round your answer to three decimal places.)

p-value =

b) Find the value of the test statistic for type of ride.

Find the p-value for type of ride. (Round your answer to three decimal places.)

p-value =

c) Find the value of the test statistic for interaction between method of loading and unloading and type of ride.

Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.)

p-value =

Answer 1

Excel: Data --> Data analysis -->Anova: Two-Factor With Replication

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Methods	12	1	12	1.200	0.315	5.987378
Type of Ride	8	2	4	0.400	0.687	5.143253
Interaction	72	2	36	3.600	0.094	5.143253
Within	60	6	10
Total	152	11

(a) Test statistic = 1.2

P-value = 0.315

(b) Test statistic = 0.4

P-value = 0.687

(c) Test statistic = 3.6

P-value = 0.094