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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 a = 0.05. Factor A is method of loading and unloading; Factor B is the type of ride. Type of Ride Screaming Demon 56 ITI 48 48 44 Set up the ANOVA table (to whole number, but p-value to 4 decimals and F value to 2 decimal, if necessary). Do not round intermediate calculations. Factor A Source of Variation Sum of Squares Degrees of Freedom Mean Square * X Factor B Interaction Error Total * x 1 2 2 6 11 ✔ ✔ S Method 1 Method 2 The interaction of factors A and B is not significant ✓ What is your recommendation to the amusement park? Withhold judgment; take a larger sample before making a final decision 10 The p-value for Factor A is greater than 0.10 What is your conclusion with respect to Factor A? Factor A is not significant The p-value for Factor B is greater than 0.10 What is your conclusion with respect to Factor B? Factor B is not significant v The p-value for the interaction of factors A and B is greater than 0.10 What is your conclusion with respect to the interaction of Factors A and B? * Roller Coaster F 45 47 50 52 * Ⓡ p-value Long Flume 49 45 52 48

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 a = 0.05. Factor A is method of loading and unloading; Factor B is the type of ride. Type of Ride Screaming Demon 56 ITI 48 48 44 Set up the ANOVA table (to whole number, but p-value to 4 decimals and F value to 2 decimal, if necessary). Do not round intermediate calculations. Factor A Source of Variation Sum of Squares Degrees of Freedom Mean Square * X Factor B Interaction Error Total * x 1 2 2 6 11 ✔ ✔ S Method 1 Method 2 The interaction of factors A and B is not significant ✓ What is your recommendation to the amusement park? Withhold judgment; take a larger sample before making a final decision 10 The p-value for Factor A is greater than 0.10 What is your conclusion with respect to Factor A? Factor A is not significant The p-value for Factor B is greater than 0.10 What is your conclusion with respect to Factor B? Factor B is not significant v The p-value for the interaction of factors A and B is greater than 0.10 What is your conclusion with respect to the interaction of Factors A and B? * Roller Coaster F 45 47 50 52 * Ⓡ p-value Long Flume 49 45 52 48

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 a = 0.05. Factor A is method of loading and unloading; Factor B is the type of ride. Factor A 49 45 47 56 48 45 50 48 52 52 44 48 Set up the ANOVA table (to whole number, but p-value to 4 decimals and F value to 2 decimal, if necessary). Do not round intermediate calculations. Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor B Interaction Error Total The p-value for Factor A is greater than 0.10 What is your conclusion with respect to Factor A? Factor A is not significant ✓ The p-value for Factor B is greater than 0.10 What is your conclusion with respect to Factor B? Factor B is not significant ✓ 1 2 2 6 11 Method 1 The interaction of factors A and B is not significant What is your recommendation to the amusement park? Method 2 Withhold judgment; take a larger sample before making a final decision The p-value for the interaction of factors A and B is greater than 0.10 What is your conclusion with respect to the interaction of Factors A and B? 10 Roller Coaster F Type of Ride Screaming Demon p-value Long Flume XX
Transcribed Image Text: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 a = 0.05. Factor A is method of loading and unloading; Factor B is the type of ride. Factor A 49 45 47 56 48 45 50 48 52 52 44 48 Set up the ANOVA table (to whole number, but p-value to 4 decimals and F value to 2 decimal, if necessary). Do not round intermediate calculations. Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor B Interaction Error Total The p-value for Factor A is greater than 0.10 What is your conclusion with respect to Factor A? Factor A is not significant ✓ The p-value for Factor B is greater than 0.10 What is your conclusion with respect to Factor B? Factor B is not significant ✓ 1 2 2 6 11 Method 1 The interaction of factors A and B is not significant What is your recommendation to the amusement park? Method 2 Withhold judgment; take a larger sample before making a final decision The p-value for the interaction of factors A and B is greater than 0.10 What is your conclusion with respect to the interaction of Factors A and B? 10 Roller Coaster F Type of Ride Screaming Demon p-value Long Flume XX
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