Question

Mean | Standard Deviation Starting BMI 33.6 | 5.8 Ending BMI Paired 30.4 | 5.4 Differences 3.2 | 1.8 Counselors at a summer camp for overweight and obese adolescents develop a weight-management program for each camper that centers on nutrition education and physical activity. In a recent study, the body mass index (BMI) was measured for each of 78 campers both at the start and end of camp. Summary statistics on BMI measurements are shown in the table. The true mean difference between the BMI at the start of camp and the BMI at the end of camp falls ..... the limits of the interval, with ...% confidence. Since 0 ...... included in the interval, there is ..... evidence that the mean BMI at the end of camp is ..... the mean BMI at the start of camp

Answer 1

To determine the relationship between the true mean difference in BMI and the confidence interval, we need to calculate the confidence interval for the mean BMI difference.

Step-by-step explanation:

In the given question, the student has provided summary statistics for the body mass index (BMI) measurements of campers at the start and end of a summer camp for overweight and obese adolescents. The summary statistics include the mean, standard deviation, and difference in BMI values. The question asks about the true mean difference between the BMI at the start and end of camp and its relationship to the confidence interval.

To answer this, we need to calculate the confidence interval for the mean BMI difference, given the data provided. We can then determine if the true mean difference falls within the limits of the interval.

By calculating the confidence interval, we can determine the level of evidence for the claim that the mean BMI at the end of camp is different from the mean BMI at the start of camp.

Learn more about Body Mass Index (BMI)