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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '10
 LACEY
 Math, Normal Distribution, Standard Deviation, mean population blood, population blood pressure

Click to edit the document details