g) Test whether the interaction between room size and the initial temperature is significant at a 5% level of significance.

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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g) Test whether the interaction between room size and the initial temperature is
significant at a 5% level of significance.
Transcribed Image Text:g) Test whether the interaction between room size and the initial temperature is significant at a 5% level of significance.
An industrial oil heater is tested by its ability to heat up a large room on a cold day and in
particular, the rate at which it reaches a desired average temperature.
The size of the room and the room temperature prior to switching on the heater were
identified as two important factors of the rate at which the average room temperature
increases. The experiment was replicated 3 times for each combination.
The time (in minutes) till an average temperature increase of 10°C was measured is
tabulated below:
Factor B
Large Classroom (200m2) Large Auditorium (400m2)
(1)
Treatment
Combination
(2)
Factor A
7°C (1)
8,9,8
22,18,21
12°C (2)
9,10,12
19,29,25
Let factor A be the initial temperature and factor B be size of the room.
Transcribed Image Text:An industrial oil heater is tested by its ability to heat up a large room on a cold day and in particular, the rate at which it reaches a desired average temperature. The size of the room and the room temperature prior to switching on the heater were identified as two important factors of the rate at which the average room temperature increases. The experiment was replicated 3 times for each combination. The time (in minutes) till an average temperature increase of 10°C was measured is tabulated below: Factor B Large Classroom (200m2) Large Auditorium (400m2) (1) Treatment Combination (2) Factor A 7°C (1) 8,9,8 22,18,21 12°C (2) 9,10,12 19,29,25 Let factor A be the initial temperature and factor B be size of the room.
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