The Cosmed K4b2 is a portable metabolic system. A study at Appalachian State University compared the metabolic values obtained from the Cosmed K4b2 to those of a reference unit (Amatek) over a range of workloads from easy to maximal to test the validity and reliability of the Cosmed K4b2. A small portion of the results for VO2 (ml/kg/min) measurements taken at a 150 watt workload are stored in data frame CosAma and in the following table:
(a) Construct a quantile-quantile plot for the between system differences.
(b) Are the VO2 values reported for Cosmed and Amatek independent?
(c) Construct a 95% confidence interval for the average VO2 system difference.