An amusement park studied methods for decreasing the waiting time (minutes) for

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 49 54 48 51 46 44 Method 2 46 48 49 48 44 45 Set up the ANOVA table (to 1 decimal, if necessary).

Explanation / Answer

H0: There is no difference exist between means of two groups

H1: There is a difference exist between means of two groups

alpha:5%

Test statistic:

From Excel

F cal = 1.4516

Conclsuison:

P value= 0.2560

P >0.05 we accept the null hypothesis. Hence the claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Method 1 6 292 48.66667 12.66667 Method 2 6 280 46.66667 3.866667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 12 1 12 1.451613 0.256008 4.964603 Within Groups 82.66667 10 8.266667 Total 94.66667 11

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