Return to the fat loss experiment described in Exercise 24. Calculate a 95% CI for the ratio of the population standard deviations for the experimental and control groups.

Data From Exercise 24

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24. The article "Supervised Exercise Versus Non-Supervised Exercise for Reducing Weight in Obese Adults" (J. Sport. Med. Phys. Fit. 2009: 85-90) reported on an investigation in which participants were randomly assigned either to a supervised exercise program or a control group. Those in the control group were told only that they should take measures to lose weight. After 4 months, the sample mean decrease in body fat for the 17 individuals in the experimental group was 6.2 kg with a sample standard deviation of 4.5 kg, whereas the sample mean and sample standard deviation for the 17 people in the control group were 1.7 kg and 3.1 kg, respectively. Assume normality of the two body fat loss distributions (as did the investigators).