In: Statistics and Probability
At the 0.05 level of significance, test for any significant differences in the treatments (physical activity) in terms of their effect on heart rates. Show complete solutions (8 step procedure). Also required to submit the STATISTICA and R solutions for this part.
A study reported in the Journal of the American Medical Association investigated the cardiac demands of heavy snow shoveling. Ten healthy men underwent exercise testing with a treadmill and a cycle ergometer modified for arm cranking. The men then cleared two tracts of heavy, wet snow by using a lightweight plastic snow shovel and an electric snow thrower. Each subject’s composite score consisting of heart rate blood pressure, oxygen uptake, and perceived exertion during snow removal were compared with the values obtained during treadmill and arm-crank ergometer testing. The data below gives the heart rates in beats per minute for each of the 10 subjects.
Subject |
Treadmill |
Arm-Crank Ergometer |
Snow Shovel |
Snow Thrower |
1 |
177 |
205 |
180 |
98 |
2 |
151 |
177 |
164 |
120 |
3 |
184 |
166 |
167 |
111 |
4 |
161 |
152 |
173 |
122 |
5 |
192 |
142 |
179 |
151 |
6 |
193 |
172 |
205 |
158 |
7 |
164 |
191 |
156 |
117 |
8 |
207 |
170 |
160 |
123 |
9 |
177 |
181 |
175 |
127 |
10 |
174 |
154 |
191 |
109 |
Subject |
Count |
Sum |
Average |
Variance |
1 |
4 |
660 |
165 |
2152.667 |
2 |
4 |
612 |
153 |
596.6667 |
3 |
4 |
628 |
157 |
1008.667 |
4 |
4 |
608 |
152 |
474 |
5 |
4 |
664 |
166 |
548.6667 |
6 |
4 |
728 |
182 |
442 |
7 |
4 |
628 |
157 |
935.3333 |
8 |
4 |
660 |
165 |
1192.667 |
9 |
4 |
660 |
165 |
648 |
10 |
4 |
628 |
157 |
1252.667 |
Activity |
||||
Treadmill |
10 |
1780 |
178 |
281.1111 |
Arm-Crank Ergometer |
10 |
1710 |
171 |
356.6667 |
Snow Shovel |
10 |
1750 |
175 |
219.1111 |
Snow Thrower |
10 |
1236 |
123.6 |
336.9333 |