Question

5, + -/16.66 points ASWSBE13 13.Е.031.MI My Notes Ask Your Teacher You may need to use the appropriate technology to answer this question An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternaive 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 41 43 49 51 Screaming Demon Log Flume 52 50 Method 1 46 50 Method 2 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 State your conclusion about method of loading and unloading Because the p-value sa0.05, method of loading and unloading is significant @ Because the p-value α-0.05, method of loading and unloading is not sign.ficant. @ Because the p-value > α = 0.05, method of loading and unloading is significant Because the p-value > α 0.05, method of loading and unloading is not significant. 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 State your conclusion about type of ride Because the p-value Because the p-value Because the p-value > α Because the p-value > α 0.05, type of ride is not significant. α-0.05, type of ride is significant. O 0.05, type of ride is not significant. 0.05, type of ride is significant.

Answer 1

applying two way ANOVA on above data

Source of Variation	SS	df	MS	F	P-value
method	12	1	12	1.2	0.315
rides	8	2	4	0.4	0.687
Interaction	56	2	28	2.8	0.138
Within	60	6	10
Total	136	11

value of test statistic for method =1.2

p value =0.315

because the p value >=alpha method of loading and unloading is not significant

value of test statistic of type of ride =0.4

p value =0.687

because the p value >=alpha type of rides is not significant

value of test statistic for interaction =2.8

p value =0.138

because the p value >=alpha interaction is not significant