Please use exact data provided here in this question.. An amusement park studied
ID: 3366166 • Letter: P
Question
Please use exact data provided here in this 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 48 55 49 50 47 45 Method 2 48 45 50 50 41 46 Set up the ANOVA table (to 2 decimal, if necessary). Round p-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total The p-value for Factor A is What is your conclusion with respect to Factor A? The p-value for Factor B is What is your conclusion with respect to Factor B? The p-value for the interaction of factors A and B is What is your conclusion with respect to the interaction of Factors A and B? What is your recommendation to the amusement park?
Explanation / Answer
Solution:
The p-value of Factor A is 0.2485. Since p-value is greater than 0.05 level of significance, we fail to reject Ho. Hence, factor A is not significant.
The p-value of Factor B is 0.6671. Since p-value is greater than 0.05 level of significance, we fail to reject Ho.Hence, factor B is not significant.
The p-value of interaction of Factor A and Factor B is 0.1683. Since p-value is greater than 0.05 level of significance, we fail to reject Ho.Hence, interaction of factor A and factor B is not significant.
Two factor ANOVA Factor 2 Means: Column 1 Column 2 Column 3 Row 1 49.0 51.0 47.0 49.0 Factor 1 Row 2 49.0 43.0 48.0 46.7 49.0 47.0 47.5 47.8 2 replications per cell ANOVA table Source SS df MS F p-value Factor 1 16.33 1 16.333 1.63 .2485 Factor 2 8.67 2 4.333 0.43 .6671 Interaction 48.67 2 24.333 2.43 .1683 Error 60.00 6 10.000 Total 133.67 11