1. 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 100 children with chronic bronchitis are studied and their mean PEF is 292. Assume the population standard deviation is 75. Is there statistical evidence of a lower mean PEF in children with chronic bronchitis? Run the appropriate test at=0.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.

2. The mean BMI in patients free of diabetes has been reported as 27.8. An investigator measured BMI in 12 patients who are free of diabetes and found a mean BMI of 30.2 with a standard deviation of 5.5. The investigator hypothesizes that the BMI in patients free of diabetes is higher than what has been reported. Is there evidence that the BMI is significantly higher that 27.8? Use a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.

3. The recommended retail price of a new cancer drug is $150 per dose. The price of the drug in a random sample of 20 retailers is on average $161 with a sample standard deviation of $4. Give the following for a 95% confidence interval for the mean drug price. 1. The value for Z or t and how you found it. 2. The confidence interval equation filled in. 3. The calculation of the Standard Error 4. The calculation of the Margin of Error 5. The upper and lower limits 6. An interpretation of the confidence interval

4. We would like to know: "What percentage of college students drink alcohol every day?" In a random sample of 500 students, 75 said they drink alcohol every day. Give the following information for a 95% confidence interval for the proportion of students who drink every day. 1. The value for Z or t and how you found it. 2. The confidence interval equation filled in. 3. The calculation of the Standard Error 4. The calculation of the Margin of Error 5. The upper and lower limits 6. An interpretation of the confidence interval

5. Data were collected from 350 women in the U.S. regarding their glucose level. In the study, 31 women were classified as having an impaired glucose level. Nationally about 6% of women have an impaired glucose level. Researchers want to know the sample proportion differs from the national level. Use a 5% level fo significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.