{Exercise 13.31 (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 Roller Coaster Screaming Demon Long Flume Method 1 43 53 47 45 45 43 Method 2 52 49 48 54 45 44 Set up the ANOVA table (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor A Factor B Interaction Error Total The p-value for Factor A is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18What is your conclusion with respect to Factor A?SelectFactor A is significantFactor A is not significantItem 19 The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20What is your conclusion with respect to Factor B?SelectFactor B is significantFactor B is not significantItem 21 The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22What is your conclusion with respect to the interaction of Factors A and B?SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significantItem 23 What is your recommendation to the amusement park?SelectUse method 1; it has a lower sample mean waiting time and is the best methodWithhold judgment; take a larger sample before making a final decisionSince method is not a significant factor, use either loading and unloading methodItem 24

{Exercise 13.31 (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 Roller Coaster Screaming Demon Long Flume Method 1 43 53 47 45 45 43 Method 2 52 49 48 54 45 44 Set up the ANOVA table (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor A Factor B Interaction Error Total The p-value for Factor A is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18What is your conclusion with respect to Factor A?SelectFactor A is significantFactor A is not significantItem 19 The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20What is your conclusion with respect to Factor B?SelectFactor B is significantFactor B is not significantItem 21 The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22What is your conclusion with respect to the interaction of Factors A and B?SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significantItem 23 What is your recommendation to the amusement park?SelectUse method 1; it has a lower sample mean waiting time and is the best methodWithhold judgment; take a larger sample before making a final decisionSince method is not a significant factor, use either loading and unloading methodItem 24

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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{Exercise 13.31 (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
	Roller Coaster	Screaming Demon	Long Flume
Method 1	43	53	47
	45	45	43
Method 2	52	49	48
	54	45	44

Set up the ANOVA table (to 2 decimals, if necessary).

Source of Variation Sum of Squares Degrees of Freedom Mean Square F

Factor A

Factor B

Interaction

Error

Total
The p-value for Factor A is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18

What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem 19
The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20

What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem 21
The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22

What is your conclusion with respect to the interaction of Factors A and B?
SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significantItem 23
What is your recommendation to the amusement park?
SelectUse method 1; it has a lower sample mean waiting time and is the best methodWithhold judgment; take a larger sample before making a final decisionSince method is not a significant factor, use either loading and unloading methodItem 24

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Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F
Factor A
Factor B
Interaction
Error
Total