Elevated energy consumption during exercise continuesafter the workout ends. Because calories burned afterexercise contribute to weight loss and have other consequences,it is important to understand this process. Thearticle “Effect of Weight Training Exercise and Treadmill Exercise on Post-Exercise OxygenConsumption” (Medicine and Science in Sports andExercise, 1998: 518–522) reported the accompanyingdata from a study in which oxygen consumption (liters)was measured continuously for 30 minutes for each of 15subjects both after a weight training exercise and after atreadmill exercise.Subject 1 2 3 4 5 6 7Weight (x) 14.6 14.4 19.5 24.3 16.3 22.1 23.0Treadmill (y) 11.3 5.3 9.1 15.2 10.1 19.6 20.8Subject 8 9 10 11 12 13 14 15Weight (x) 18.7 19.0 17.0 19.1 19.6 23.2 18.5 15.9Treadmill (y) 10.3 10.3 2.6 16.6 22.4 23.6 12.6 4.4a. Construct a comparative boxplot of the weight andtreadmill observations, and comment on what yousee.b. The data is in the form of (x, y) pairs, with x and ymeasurements on the same variable under two differentconditions, so it is natural to focus on the differenceswithin pairs: d1 5 x1 2 y1,…, dn 5 xn 2 yn.Construct a boxplot of the sample differences. Whatdoes it suggest?
Elevated energy consumption during exercise continues
after the workout ends. Because calories burned after
exercise contribute to weight loss and have other consequences,
it is important to understand this process. The
article “Effect of Weight Training Exercise and Treadmill Exercise on Post-Exercise Oxygen
Consumption” (Medicine and Science in Sports and
Exercise, 1998: 518–522) reported the accompanying
data from a study in which oxygen consumption (liters)
was measured continuously for 30 minutes for each of 15
subjects both after a weight training exercise and after a
treadmill exercise.
Subject 1 2 3 4 5 6 7
Weight (x) 14.6 14.4 19.5 24.3 16.3 22.1 23.0
Treadmill (y) 11.3 5.3 9.1 15.2 10.1 19.6 20.8
Subject 8 9 10 11 12 13 14 15
Weight (x) 18.7 19.0 17.0 19.1 19.6 23.2 18.5 15.9
Treadmill (y) 10.3 10.3 2.6 16.6 22.4 23.6 12.6 4.4
a. Construct a comparative boxplot of the weight and
treadmill observations, and comment on what you
see.
b. The data is in the form of (x, y) pairs, with x and y
measurements on the same variable under two different
conditions, so it is natural to focus on the differences
within pairs: d1 5 x1 2 y1,…, dn 5 xn 2 yn.
Construct a boxplot of the sample differences. What
does it suggest?
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