The body mass index (BMI) is a measure of obesity and equals a person's weight (in kilograms) divided by the height (in meters) squared. For a certain diagnosis related group of 20 patients, the following natural tolerances were obtained on weight (60± 5 kg) and height (1.7±0.09 m). Assume that the distributions of weight and height are each normal.
What are the natural tolerances on BMI for this group of patients? A BMI of 30.0 or more is considered to represent obesity.
What proportion of the patients do you expect to be obese, assuming normality? Find the Cp index and establish a 95% lower confidence interval.