The manufacturer of Peloton bikes has designed a new recumbent bike machine that is meant to increase cardiovascular fitness. The company would like to compare cardiovascular fitness of the new recumbent bike to the previous upright bike. The two machines are being tested on 30 volunteers at a fitness center near the company's headquarters. The volunteers are randomly assigned to one of the machines and use it daily for two months. A measure of cardiovascular fitness is administered at the start of the experiment and again at the end. The following table contains the differences in the two scores (After - Before) for the two machines. Note that higher scores indicate larger gains of fitness. Cardiovascular Fitness Peloton Machine Results Upright Bike Recumbent Bike 9,5, 35 7, 5, 241, 6 9, 8, 4, 2 3 1, 1, 4, 7, 9 9, 5, 1 2 0, 2, 3, 6, 7, 8 0 14,5 20 513 53 on VO2 max test score (a) Compare the distributions using their SOCS. Show the calculations leading to your outlier conclusion.
The manufacturer of Peloton bikes has designed a new recumbent bike machine that is meant to increase cardiovascular fitness. The company would like to compare cardiovascular fitness of the new recumbent bike to the previous upright bike. The two machines are being tested on 30 volunteers at a fitness center near the company's headquarters. The volunteers are randomly assigned to one of the machines and use it daily for two months. A measure of cardiovascular fitness is administered at the start of the experiment and again at the end. The following table contains the differences in the two scores (After - Before) for the two machines. Note that higher scores indicate larger gains of fitness. Cardiovascular Fitness Peloton Machine Results Upright Bike Recumbent Bike 9,5, 35 7, 5, 241, 6 9, 8, 4, 2 3 1, 1, 4, 7, 9 9, 5, 1 2 0, 2, 3, 6, 7, 8 0 14,5 20 513 53 on VO2 max test score (a) Compare the distributions using their SOCS. Show the calculations leading to your outlier conclusion.
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Transcribed Image Text:(a) Compare the distributions using their SOCS. Show the calculations leading to your outlier
conclusion.
(b) Which machine should be chosen if the Peloton wants to advertise it as achieving the highest
overall gain in cardiovascular fitness? Use the appropriate statistic to explain your reasoning.
Transcribed Image Text:The manufacturer of Peloton bikes has designed a new recumbent bike machine that is meant to
increase cardiovascular fitness. The company would like to compare cardiovascular fitness of the
new recumbent bike to the previous upright bike. The two machines are being tested on 30
volunteers at a fitness center near the company's headquarters. The volunteers are randomly
assigned to one of the machines and use it daily for two months. A measure of cardiovascular fitness
is administered at the start of the experiment and again at the end. The following table contains the
differences in the two scores (After - Before) for the two machines. Note that higher scores indicate
larger gains of fitness.
Cardiovascular Fitness
Peloton Machine Results
Upright Bike Recumbent Bike
9,5, 35
7,5,24 1,6
9, 8,4, 2 3 1, 1, 4, 7, 9
9, 5, 1 2 0, 2, 3, 6, 7, 8
0 1 4,5
20
513 53 on VO2 max test score
=
(a) Compare the distributions using their SOCS. Show the calculations leading to your outlier
conclusion.
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