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 46 48 46 48 Screaming Demon 54 46 Long Flume Method 1 Method 2 51 47 51 a. 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 Se F Factor A Factor B p-value Error Total b. The p-value for Factor A is Select What is your conclusion with respect to Factor A? Select C. The p-value for Factor B is Select What is your conclusion with respect to Factor B? Select d. The p-value for the interaction of factors A and B is Select

Answer 1

EXCEL output ANOVA Source of Variation P-value Fcrit MS Sample Columns Interaction Within 0.333333 48.66667 24.66667 60 1 0.333333 0.033333 0.861145 5.987378 2 24.33333 2.433333 0.168331 5.143253 2 12.33333 1.233333 0.35589 5.143253 10 Total 133.6667 Source ofSum Variation Factor A Factor E Interaction 24.67 Error Total of Degrees ofMean Square F p-value Squares 0.33 48.67 Freedom 0.8611 0.1683 0.3559 0.33 24.33 12.33 10 0.03 2.43 1.23 60 133.67

The p-value for Factor A is p-value > 0.10 Do not reject Ho Factor A is not significant The p-value for Factor B is p-value > 0.10 Do not reject H Factor B is not significant The p-value for the interaction of Factor A and Factor B is p-value>0.10 Do not reject H Interaction of Factor A and Factor B is not significant