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                 43                              52                                 54

                                45                               44                                50

Method 2               44                                   51                                48

                              46                                   47                              44

a. set up the anova table

source of variation                      sum of squares                degrees of freedom            mean square                 F

Factor A                                        ??                                          ??                                     ??                              ??

FActor B                                          ??                                        ??                                     ??                            ??

Interaction                                     ??                                         ??                                     ??                              ??   

error                                           ??                                           ??                                      ??

total                                          ??                                             ??      

B. the p value for factor A is

what is your conculusion with respect to FActor A

C. the p value for Factor B is

What is your conclusion with respect to factor B

D.    the p value for the interaction of factor A and B is

what is your conclusion with respect to the interaction of factors A and B

E. What is your recommendation to the amusement park

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative 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 signficant 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 th type of ride. Type of Ride Roller Coaster 43 45 Screaming DemonLong Flume Method 1 52 54 50 48 Method 2 51 46 47 a. Set up the ANOVA table (to 1 decimal, if necessary). Source of Varlation Sum of Squares Degrees of Freedom Mean SquareF Factor A Factor B Error Total

Explanation / Answer

b) 0.4927262

c) . 0.1683331

d) 0.2714458

Sum of Squares within: 60.000000 Degrees of Freedom (df) within: 6.000000 Mean Squared within: 10.000000 Global mean: 47.333333

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