MidtermII_PracticeQuestions

# MidtermII_PracticeQuestions - Practice Questions for...

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Practice Questions for Midterm II, Math 308/608 Spring 2010 Note: Rather than provide critical values as I did for the first exam, I will give attach copies of the relevant tables from Appendix B, so you should refer to these tables to solve these problems. 1) The number of trees over 100 years old in a region of a forest is expected to follow a Poisson distribution. In a sample of 25 acres, the following counts were observed: Number of Trees 1 2 3 4 Count 9 5 5 6 a) Find the maximum likelihood estimate of the parameter λ . b) Conduct a goodness of fit test to determine whether the Poisson distribution is appropriate for the data. 2) Twelve men between the ages of 25 and 30 who were participating in a heart study carried out in Framingham, Massachusetts, were randomly selected. Of these, 5 were smokers and 7 were not. The following observations are readings of their systolic blood pressure: Smokers: 124, 134, 136, 125, 133 Nonsmokers: 130, 122, 128, 129, 118, 122, 116 The sample mean for the smokers was 130.4 with standard deviation 5.50, and the sample mean for the nonsmokers was 123.6 with standard deviation 5.53.

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MidtermII_PracticeQuestions - Practice Questions for...

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