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 each activity. The activities are run in a random order with time for recovery between activities. TTTT Subject Running 1.4 Walking 1.1 Cycling 0.7 2 3 1.5 1.8 1.2 1.3 0.8 0.7 1.7 1.6 1.3 0.7 0.8 0.1 0.7 0.4 0.6 5 1.5 1.7 1.2 1.1 1.3 7 2.0 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.
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 each activity. The activities are run in a random order with time for recovery between activities. TTTT Subject Running 1.4 Walking 1.1 Cycling 0.7 2 3 1.5 1.8 1.2 1.3 0.8 0.7 1.7 1.6 1.3 0.7 0.8 0.1 0.7 0.4 0.6 5 1.5 1.7 1.2 1.1 1.3 7 2.0 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2. 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 each activity. The activities are run in a random order with time for recovery
between activities.
Subject
Running
1.4
Walking
1.1
1.2
Cycling
0.7
TTTI
2
3
1.5
0.8
1.8
1.3
0.7
4
1.7
1.3
0.8
5
1.6
0.7
0.1
1.5
1.7
1.2
0.7
7
1.1
0.4
8
2.0
1.3
0.6
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.
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