Select options: b.) The p-value for Factor A is select: less than .01, between .

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Question

Select options:

b.) The p-value for Factor A is select: less than .01, between .01 and .025, between .025 and .05, between .05 and .10, or greater than .10

What is your conclusion with respect to Factor A?
Select: Factor A is significant or Factor A is not significant

c.) The p-value for Factor B is Select: less than .01, between .01 and .025, between .025 and .05, between .05 and .10, or greater than .10

What is your conclusion with respect to Factor B?
Select: Factor B is significant or Factor B is not significant

d.) The p-value for the interaction of factors A and B is Select: less than .01, between .01 and .025, between .025 and .05, between .05 and .10, or greater than .10

What is your conclusion with respect to the interaction of Factors A and B?
Select: The interaction of factors A and B is significant or The interaction of factors A and B is not significant.

e.) What is your recommendation to the amusement park?
Select: Use method 1; it has a lower sample mean waiting time and is the best method, Withhold judgment; take a larger sample before making a final decision, or Since method is not a significant factor, use either loading and unloading method.

(Algorithmic) 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 Long Flume 45 41 49 45 Roller Coaster Screaming Demon Method1 41 46 Method 2 48 a. Set up the ANOVA table (to 1 decimal, if necessary) Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A Factor B Interaction Error Total b. The p-value for Factor A is Select What is your conclusion with respect to Factor A? Select

Explanation / Answer

from above data applying two way ANOVA with replication:

b) p value for factor A is greater than .10

Factor A is not significant

c) p-value for Factor B greater than .10

Factor B is not significant

d)p-value for the interaction of factors A and B is greater than .10

The interaction of factors A and B is not significant.

e) Since method is not a significant factor, use either loading and unloading method.

SUMMARY roller coaster screaming demon long Flume Total method 1 Count 2 2 2 6 Sum 84 100 86 270 Average 42 50 43 45 Variance 2 32 8 23.6 method 2 Count 2 2 2 6 Sum 90 92 94 276 Average 45 46 47 46 Variance 2 8 8 4.4 Total Count 4 4 4 Sum 174 192 180 Average 43.5 48 45 Variance 4.333333 18.66667 10.66667 ANOVA Source of Variation SS df MS F factor A 3 1 3 0.3 factor B 42 2 21 2.1 Interaction 38 2 19 1.9 Within 60 6 10 Total 143 11

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Select options: b.) The p -value for Factor A is Select: less than .005, between

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Select options: b.) The p-value for Factor A is select: less than .01, between .

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