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9.40 Summer weight-loss camp. Camp Jump Start is an 8-week summer camp for overweight and obese adoles- cents. Counselors develop a weight-management pro- gram for each camper that centers on nutrition education and physical activity. In a study published in Pediatrics (Apr. 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. Starting BMI Ending BMI Paired Differences Mean 34.9 31.6 3.3 Standard Deviation 6.9 6.2 1.5 Based on Huelsing, J., Kanafani, N., Mao, J., and White, N. H. "Camp Jump Start: Effects of a residential summer weight-loss camp for older children and adolescents." Pediatrics, Vol. 125, No. 4, Apr. 2010 (Table 3). a. Give the null and alternative hypothesis for determining whether the mean BMI at the end of camp is less than the mean BMI at the start of camp. b. How should the data be analyzed, as an independent- samples 1-test or as a paired-difference 1-test? Explain.

9.40 Summer weight-loss camp. Camp Jump Start is an 8-week summer camp for overweight and obese adoles- cents. Counselors develop a weight-management pro- gram for each camper that centers on nutrition education and physical activity. In a study published in Pediatrics (Apr. 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. Starting BMI Ending BMI Paired Differences Mean 34.9 31.6 3.3 Standard Deviation 6.9 6.2 1.5 Based on Huelsing, J., Kanafani, N., Mao, J., and White, N. H. "Camp Jump Start: Effects of a residential summer weight-loss camp for older children and adolescents." Pediatrics, Vol. 125, No. 4, Apr. 2010 (Table 3). a. Give the null and alternative hypothesis for determining whether the mean BMI at the end of camp is less than the mean BMI at the start of camp. b. How should the data be analyzed, as an independent- samples 1-test or as a paired-difference 1-test? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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c. Calculate the test statistic using the formula for an independent-samples t-test. (Note: This is not how the test should be conducted.) d. Calculate the test statistic using the formula for a paired-difference t-test. e. Compare the test statistics, parts c and d. Which test statistic provides more evidence in support of the alter- native hypothesis? f. The p-value of the test, part d, was reported as p < .0001. Interpret this result assuming a = .01. g. Do the differences in BMI values need to be normally distributed in order for the inference, part f, to be valid? Explain. h. Find a 99% confidence interval for the true mean change in BMI for Camp Jump Start campers. Interpret the result.
Transcribed Image Text:c. Calculate the test statistic using the formula for an independent-samples t-test. (Note: This is not how the test should be conducted.) d. Calculate the test statistic using the formula for a paired-difference t-test. e. Compare the test statistics, parts c and d. Which test statistic provides more evidence in support of the alter- native hypothesis? f. The p-value of the test, part d, was reported as p < .0001. Interpret this result assuming a = .01. g. Do the differences in BMI values need to be normally distributed in order for the inference, part f, to be valid? Explain. h. Find a 99% confidence interval for the true mean change in BMI for Camp Jump Start campers. Interpret the result.
9.40 Summer weight-loss camp. Camp Jump Start is an 8-week summer camp for overweight and obese adoles- cents. Counselors develop a weight-management pro- gram for each camper that centers on nutrition education and physical activity. In a study published in Pediatrics (Apr. 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. Starting BMI Ending BMI Paired Differences Mean 34.9 31.6 3.3 Standard Deviation 6.9 6.2 1.5 Based on Huelsing, J., Kanafani, N., Mao, J., and White, N. H. “Camp Jump Start: Effects of a residential summer weight-loss camp for older children and adolescents." Pediatrics, Vol. 125, No. 4, Apr. 2010 (Table 3). a. Give the null and alternative hypothesis for determining whether the mean BMI at the end of camp is less than the mean BMI at the start of camp. b. How should the data be analyzed, as an independent- samples t-test or as a paired-difference t-test? Explain.
Transcribed Image Text:9.40 Summer weight-loss camp. Camp Jump Start is an 8-week summer camp for overweight and obese adoles- cents. Counselors develop a weight-management pro- gram for each camper that centers on nutrition education and physical activity. In a study published in Pediatrics (Apr. 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. Starting BMI Ending BMI Paired Differences Mean 34.9 31.6 3.3 Standard Deviation 6.9 6.2 1.5 Based on Huelsing, J., Kanafani, N., Mao, J., and White, N. H. “Camp Jump Start: Effects of a residential summer weight-loss camp for older children and adolescents." Pediatrics, Vol. 125, No. 4, Apr. 2010 (Table 3). a. Give the null and alternative hypothesis for determining whether the mean BMI at the end of camp is less than the mean BMI at the start of camp. b. How should the data be analyzed, as an independent- samples t-test or as a paired-difference t-test? Explain.
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