A campus researcher wanted to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, he wanted to determine whether different building signs (building maps versus wall signage) affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building. Three subjects were assigned to each of the combinations of signs and starting locations, and travel time in seconds from beginning to destination was recorded. The p-value for the F test statistic for testing the interaction effect is 0.9195. Here is the partial result of the analysis. ANOVA Source of Variation Signs Starting Location Interaction Within Total SS 14008.33 12288 48 35305.33 61649.67 af What is the correct conclusion at the 0.05 level of significance? A. There is insufficient evidence to conclude that the relationship between traveling time and the types of signs depends on the starting locations ▸ B. There is sufficient evidence to conclude that the relationship between travel time and the types of signs depends on the starting locations. C. There is insufficient evidence to conclude that the difference between the average traveling time for the different starting locations depends on the types of signs. D. There is insufficient evidence to conclude that the difference between the average traveling time for the different types of signs depends on the starting locations.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A campus researcher wanted to investigate the factors that affect visitor travel time in a complex,
multilevel building on campus. Specifically, he wanted to determine whether different building signs
(building maps versus wall signage) affect the total amount of time visitors require to reach their
destination and whether that time depends on whether the starting location is inside or outside
the building. Three subjects were assigned to each of the combinations of signs and starting
locations, and travel time in seconds from beginning to destination was recorded. The p-value for
the F test statistic for testing the interaction effect is 0.9195. Here is the partial result of the
analysis.
ANOVA
Source of Variation
Signs
Starting Location
Interaction
Within
Total
SS
14008.33
12288
48
35305.33
61649.67
af
What is the correct conclusion at the 0.05 level of significance?
A. There is insufficient evidence to conclude that the relationship between traveling time and the
types of signs depends on the starting locations
▸
B. There is sufficient evidence to conclude that the relationship between travel time and the types
of signs depends on the starting locations.
C. There is insufficient evidence to conclude that the difference between the average traveling time
for the different starting locations depends on the types of signs.
D. There is insufficient evidence to conclude that the difference between the average traveling
time for the different types of signs depends on the starting locations.
Transcribed Image Text:A campus researcher wanted to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, he wanted to determine whether different building signs (building maps versus wall signage) affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building. Three subjects were assigned to each of the combinations of signs and starting locations, and travel time in seconds from beginning to destination was recorded. The p-value for the F test statistic for testing the interaction effect is 0.9195. Here is the partial result of the analysis. ANOVA Source of Variation Signs Starting Location Interaction Within Total SS 14008.33 12288 48 35305.33 61649.67 af What is the correct conclusion at the 0.05 level of significance? A. There is insufficient evidence to conclude that the relationship between traveling time and the types of signs depends on the starting locations ▸ B. There is sufficient evidence to conclude that the relationship between travel time and the types of signs depends on the starting locations. C. There is insufficient evidence to conclude that the difference between the average traveling time for the different starting locations depends on the types of signs. D. There is insufficient evidence to conclude that the difference between the average traveling time for the different types of signs depends on the starting locations.
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