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Peak expiratory flow (PEF) is a measure of a patientÕs 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.
What is the null hypothesis
a. H0 > 306
b. HO < 306
c. HO = 306
Consider two random variables X and Y. Suppose that the variance of X is 20, that this of Y is 10, and that the covariance of X and Y is 5. What is the variance of the random variable 2X+Y?
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