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In: Statistics and Probability

At the 0.05 level of significance, test for any significant differences in the treatments (physical activity)...

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

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