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# Hlth 501 Final Exam Answers

• Date Submitted: 10/21/2016 10:50 PM
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1. The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and participating in a study of risk factors for obesity. Body mass index is measured as the ratio of weight in kilograms to height in meters squared.   Generate a 95% confidence interval estimate of the true BMI.

25           27         31         33         26         28         38         41         24         32         35         40

2. Consider the data in Problem 1. How many subjects would be needed to ensure that a 95% confidence interval estimate of BMI had a margin of error not exceeding 2 units?

3. The mean BMI in patients free of diabetes was reported as 28.2. The investigator conducting the study described in Problem 1 hypothesizes that the BMI in patients free of diabetes is higher.   Based on the data in Problem 1 is there evidence that the BMI is significantly higher that 28.2?   Use a 5% level of significance.

4. Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients with asthma or other respiratory conditions often have restricted PEF.   The mean PEF for children free of asthma is 306.   An investigator wants to test whether children with chronic bronchitis have restricted PEF.   A sample of 40 children with chronic bronchitis are studied and their mean PEF is 279 with a standard deviation of 71.   Is there statistical evidence of a lower mean PEF in children with chronic bronchitis?   Run the appropriate test at a=0.05.

5. Consider again the study in Problem 4, a different investigator conducts a second study to investigate whether there is a difference in mean PEF in children with chronic bronchitis as compared to those without. Data on PEF are collected and summarized below.   Based on the data, is there statistical evidence of a lower mean PEF in children...