University of Ottawa
Faculty of Administration
ADM 2303: STATISTICS FOR MANAGEMENT I
FINAL EXAMINATION December 9, 2004
Time: 3 hours
Put your name on THIS sheet too! – YOUR EXAM IS UNIQUE.
Statement of Academic Integrity
The School of Management does not condone academic fraud, an act by a student that may result in a false
academic evaluation of that student or of another student. Without limiting the generality of this definition,
academic fraud occurs when a student commits any of the following offences: plagiarism or cheating of any
kind, use of books, notes, mathematical tables, dictionaries or other study aid unless an explicit written note to
the contrary appears on the exam, to have in his/her possession cameras, radios (radios with head sets), tape
recorders, pagers, cell phones, or any other communication device which has not been previously authorized in
writing. Note: an examination answer sheet without the signed statement will not be graded and will receive a
final exam grade of zero.
ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE
SHEET. The exam
question sheets will
be marked, though space on the back of sheets is provided here for your rough work.
Deposit question sheets in the box provided to allow for verification if needed. Note that there are marks for
explaining your answers, so make sure you include brief explanations on the
sheet. There are marks
for identifying probability distributions. Calculators, 1 double-sided sheet of notes, on 8.5" by 11" paper (no
stick-ons!) are allowed.
In using tables, you do
need to interpolate, but take the nearest table value.
Q1. In 1903, K. Pearson and A . Lee published a paper entitled "On the Laws of Inheritance in Man. I.
Inheritance of Physical Characters" (Biometrika, Vol 2). From information presented in that paper, forearm
lengths of men, measured from the elbow to the middle fingertip have a mean of 47.8 centimeters and a standard
deviation of 2.8 centimeters.
For the moment, assume the forearm length is Gaussian (normally) distributed.
a) [ 2 ] Compute the 90th percentile of the forearm length.
b) [ 3 ] It is believed that if a forearm length is shorter than 45.0 cm or longer than 52.2 cm that forearm is
abnormal. Determine the probability that two randomly selected men will
have an abnormal forearm.
c) [ 4 ] Suppose that a set of 144 University of Ottawa male students is randomly selected. Regardless of the
previous parts of the question, you decide to NOT assume that the data is normally distributed, so that you treat
the data as a sample of 144 observations. Calculate the value of the