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MATH 244 Applied Statistics

Final Examination Dec 13, 2003


Please read the following instructions carefully before you begin the examination.

1. Do not begin until you are told to do so.

2. Please place your student identity card on your desk for verification purposes.

3. There are 30 multiple choice and 3 long questions in this exam. For the multiple choice questions, 1.5 marks will be given for each correct answer while half mark will be deducted from each incorrect answer. Please write down all your answers in the answer book.

4. Show all your works on the long questions. It is to your advantage (for receiving partial marks) to show intermediate steps in all required calculations. You should use at least 4 decimal places in all your intermediate calculations.

5. You will have 3 hours to complete the examination.

6. You are allowed to use three pieces of formula sheet (A4 size written on both sides). No books, notes or other reading materials are permitted. Statistics tables that you may need are provided.

7. If you feel you need to think a lot for a question, skip it and return to it later. Some of the easiest question for you might be at the very end. So, choose your own order of answering the questions.

8. Anyone who is caught cheating, helping someone cheat, or who is suspected of cheating, will receive zero mark on this examination. There will be no exception.

9. Do your best, and good luck!!!














Part A Multiple Choice Questions (45 marks)
Please write down the most appropriate answer in your answer book. For each question, 1.5 marks will be given for each correct answer while half mark will be deducted from each incorrect answer.

1. Ms Sweetwaters Statistics class had a standard deviation of 2.4 on a standardized test, while Ms Quincys Statistics class had a standard deviation of 1.2 on the same test. What can be said about these two classes?

(a)
Ms Sweetwaters class is more homogeneous than Ms Quincys.

(b)
Ms Quincys class is less heterogeneous than Ms Sweetwaters.

(c)
Ms Quincys class did less well on the test than Ms Sweetwaters.

(d)
Ms Sweetwaters class performed twice as well on the test as Ms Quincys.

(e)
None of the above.



2. If the mean, mode, median of a distribution is 5, 6, 7 respectively, then the distribution must be
(a)
Negatively skewed.

(b)
Symmetric.

(c)
Positively skewed.

(d)
Normal.

(e)
Chi-Square.



3. Increasing the frequencies in the tails of a distribution will

(a)
Reduce the standard deviation.

(b)
Not affect the standard deviation.

(c)
Increase the standard deviation.

(d)
Not affect the standard deviation as long as the increases are balanced on each side of the mean.

(e)
None of the above.




P. T. O.
4. If a given final score is at the