Jump Start is an 8-week summer camp for overweight and obese adolescents. Counselors develop a weight-management program for each camper that centers on nutrition education and physical activity. To justify the cost of the camp, counselors must provide empirical evidence that the weight-management program is effective. In a study published in Pediatrics (April 2010), the body mass index (BMI) was measured for each of 76 campers both at the start and end of camp. Summary statistics on BMI measurements are shown in the table.
Mean Standard Deviation
Starting BMI 36.9 6.9
Ending BMI 32.4 6.2
Paired Differences 3.9 1.47
a. Give the null and alternative hypotheses for determining whether the mean BMI at the end of camp is less than the mean BMI at the start of camp.
b. Calculate the test statistic using the formula for an independent samples test. (Note: This is not how the test should be conducted.)
c. Calculate the test statistic using the formula for a paired difference test.
d. Find the rejection for the test and show the rejection region on the bell curve assuming α=.10
e. Make a decision and draw a conclusion on the test Interpret this result.
a.The null and alternative hypotheses H0: µ starting = µ ending Ha: µ starting > µ ending b.The test statistic using... View the full answer