An experiment is conducted to study the energy requirements of three physical activities: running, walking and cycling. Eight subjects are selected at random. It is thought that metabolic differences...

Extracted text: An experiment is conducted to study the energy requirements of three physical activities: running, walking and cycling. Eight subjects are selected at random. It is thought that metabolic differences among the subjects might affect the kilocalories required for a given activity, hence, the experiment is done by taking into account of these differences. Each subject is asked to run, walk and cycle a measured distance, and the kilocalories expended per kilometre is determined for each subject during cach activity. The activities are run in a random order with time for recovery between activities. Subject Running Walking Cycling 0.7 1 1.4 1.1 2 1.5 1.2 0.8 3 1.3 1.3 0.7 0.8 1.8 4 1.7 0.7 0.1 5 6 1.6 1.5 1.2 0.7 0.4 0.6 7 1.7 1.1 8 2.0 1.3 a) State a statistical model and its assumptions. b) By using an ANOVA test, interpret whether there are differences in energy requirements for the three activities. Use a = 0.05. c) By using an ANOVA test, interpret whether there are differences in energy requirements among the subjects? Use a = 0.05.