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The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 275, SSA = 24, SSB = 21, SSAB = 175. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source of Variation Factor A Factor B Interaction Error Total Sum of Squares Degrees of Freedom Mean Square × F value × X p-value

The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 275, SSA = 24, SSB = 21, SSAB = 175. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source of Variation Factor A Factor B Interaction Error Total Sum of Squares Degrees of Freedom Mean Square × F value × X p-value

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 275, SSA = 24, SSB = 21, SSAB = 175. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source of Variation Factor A Factor B Interaction Error Total Sum of Squares Degrees of Freedom Mean Square *** F value xx p-value X X
Transcribed Image Text:The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 275, SSA = 24, SSB = 21, SSAB = 175. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source of Variation Factor A Factor B Interaction Error Total Sum of Squares Degrees of Freedom Mean Square *** F value xx p-value X X
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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 56 52 48 48 48 50 44 46 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 B Interaction Source of Variation Sum of Squares Degrees of Freedom Mean Square Error Total 24 21 175 Method 1 55 275 Method 2 3 2 6 Roller Coaster 24 35 > 46 48 51 53 X 8 10.5 29.17 Type of Ride Screaming Demon 2.29 F 3.49 4.59 12.74 p-value .0312 Long Flume .0205 0
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 56 52 48 48 48 50 44 46 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 B Interaction Source of Variation Sum of Squares Degrees of Freedom Mean Square Error Total 24 21 175 Method 1 55 275 Method 2 3 2 6 Roller Coaster 24 35 > 46 48 51 53 X 8 10.5 29.17 Type of Ride Screaming Demon 2.29 F 3.49 4.59 12.74 p-value .0312 Long Flume .0205 0
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