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.

Set up the ANOVA table (to 1 decimal, if necessary).

b. The p-value for Factor A is

a. less than .01

b. between .01 and .025

c. between .025 and .05

d.between .05 and .10

e. greater than .10

What is your conclusion with respect to Factor A?

a.Factor A is significant

b.Factor A is not significant

c. The p-value for Factor B is

a. less than .01

b. between .01 and .025

c. between .025 and .05

d.between .05 and .10

e. greater than .10

What is your conclusion with respect to Factor B?

a.Factor B is significant

b.Factor B is not significant

d. The p-value for the interaction of factors A and B is

a. less than .01

b. between .01 and .025

c. between .025 and .05

d.between .05 and .10

e. greater than .10

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

a. the interaction of factor A and B is significant

b. the interaction of factor A and B is not significant

e. What is your recommendation to the amusement park?

a. use method 1; it has a lower sample mean waiting time and is the best method

b. withhold judgement; take a larger sample before making a final decision

c. since method id not a significant factor, use either loading or unloading method

Type of Ride Roller Coaster Screaming Demon Long Flume Method 1 47 54 50 49 46 46 Method 2 52 49 51 54 45 47

Explanation / Answer

The Table i a sfollows:

So,

The p-value for Factor A is

e. greater than .10

What is your conclusion with respect to Factor A?

b.Factor A is not significant

The p-value for Factor B is

e. greater than .10

What is your conclusion with respect to Factor B?

b.Factor B is not significant

The p-value for the interaction of factors A and B is

e. greater than .10

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

b. the interaction of factor A and B is not significant

e. What is your recommendation to the amusement park?

c. since method id not a significant factor, use either loading or unloading method

Source of Variation Sum of Squares Degree of Freedom Mean Square F Facor A 3.0 1 3.0 0.604 Factor B 10.7 2 5.3 0.612 Interaction 32.0 2 16.0 0.277 Error 60.0 6 10.0 Total 105.7 11

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