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Mathematics, 03.07.2020 19:01, kingo7
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.
Starting Room
Interior Exterior
Wall Signs 141, 119, 238 224, 339, 139
Map 85, 94, 126 226, 129, 130
An Excel output of the appropriate analysis is given below:
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Signs
14008.33
14008.33
0.11267
5.317645
Starting Location
12288
2.784395
0.13374
5.317645
Interaction
48
48
0.919506
5.317645
Within
35305.33
4413.167
Total
61649.67
11
a) What is the degrees of freedom for the different building signs (factor A)? Explain how you obtain your answer.
b) What is the within (error) degrees of freedom? Explain how you obtain your answer.
c) What is the mean squares for starting location (factor B)? Explain how you obtain your answer.
d) What is the F test statistic for testing the main effect of types of signs? Explain how you obtain your answer.
e) What is the F test statistic for testing the interaction effect between the types of signs and the starting location? Explain how you obtain your answer.
f) What conclusion can you infer at 10% level of significance? Explain how you obtain your answer.
![answer](/tpl/images/cats/otvet.png)
Answers: 2
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