In: Statistics and Probability
Engaging in regular exercise has both psychological and physical benefits. You believe you have a novel way to help obese adults start and maintain a regular exercise program. Your idea is to have them visualizing themselves engaging in exercise (walking) via virtual reality for two weeks before having them actually go out and walk. From data compiled by the National Institutes of Health, you know that obese adults in the United States walk, on average, 0.40 miles per day, with a standard deviation equal to 0.16 miles, and that the distance walked per day by obese adults is normally distributed. You obtain a sample of 49 obese adults for your study, apply the exercise program, and determine that they walked, on average, 0.45 miles per day following the virtual reality intervention. You want to assess whether this intervention has been successful. So to get started on this study…