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Statistics
Professor Esfandiari
Sample final
Question 1)
In a given population, diastolic blood pressure (DBP) was measured in each
individual and then they were followed for 10 years.
The following table shows the number of
individuals who were alive or dead at the end of that period.
DBP (mm Hg)
Dead
Alive
Total
High (100+)
124
295
419
Low (99 or less)
764
3851
4615
Total
888
4146
5034
a)
What is the probability that an individual selected randomly from this population died in
10 years?
b) Given that a person has high DBP, What is the probability that
s(he) died in 10 years?
c)
In this population, is high DBP independent of dying in 10 years?
Why?
Question 2)
For a particular population, the following table shows the percentage of people who
are retired, classified by age group:
Age Group (years)
% Retired
P(Not Retired)
6064
20
0.8
6569
50
0.5
70+
80
0.2
Three unrelated people, one aged 62 years, the second 66 years and the third 76 years, are
selected at random from this population.
a)
What is the probability that at least one of them is retired?
b) What is the probability that all of them are retired?
c)
What is the probability that none of them are retired?
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View Full DocumentQuestion 3)
Suppose that you are hired to work with a statistician that works with a private
childrens’ hospital in Los Angeles. They have the following information on their data base
for
800 infants that were born in 2004.
Weight of new born
Height of new born
Age of the mother
Is the mother a smoke or not
The statistician asks you to run the relevant data for answering the following questions:
a)
What is the mean and the standard deviation of the weight and height for the 800 new
borns?
b) Is the average weight of the new borns for this hospital different from the national
average weight of seven pounds?
c)
Is the percentage of the mothers who smoke during pregnancy lower than the national
average of female smokers in the US?
Is (a) an example of conducting inferential or descriptive statistics and why?
Is (b) an example of conducting inferential or descriptive statistics and why?
Is (c) an example of conducting inferential or descriptive statistics and why?
Question 4)
At a major university three methods of MCAT preparation (medical school
admission test) is offered to
help the students who want to pursue a career in medicine. These
methods include : 1) Attending five hours of lecture every week for six weeks, 2) participation in
an online tutoring program for five hours a week for six weeks, 3) and doing none of the
above(control group). 300 students volunteer to participate in this program. Of these students
50% are science major and 50% are not.,50% are male and 50% are female. They also vary with
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 Fall '07
 Hussey/Gussin

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