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MAT 151 A: Introduction To Statistical Methods 

Fall Semester: September 2011

Course: MAT 151 Introduction to Statistical Methods“.

Prereq. MAT 30 or PURE MAT 30 or Equivalent

Course Description: See CUCA Calendar, or

Course Instructor:

Name: Dr. A. N. (Tom) Tavouktsoglou, PhD
Professor of Mathematics & Chemistry,
Coordinator of the Department of Mathematical and Computing Sciences

Office: Faculty House, F.H.-204 (main level).

Tel: 780-479-9360.

e-mail: tomtavou@math.concordia.ab.ca

web: http://www.math.concordia.ab.ca/tomtavou/

Note: Students must phone (780-479-9360) and leave a voice message (or send an
ahead of time, if they are unable to present themselves for a test/exam.

Office Hours: M/T/W/F: 09:50 – 10:40 T/R: 08:55 – 09:45

Laboratory Instructor:

Name: Mr. Edward Tymchyshyn, B.A.

Office: Guild Hall G-411

Tel: 780-479-9294

e-mail: ed.tymchyshyn@concordia.ab.ca

web: http://www.math.concordia.ab.ca/~etymchys/

Office Hours: See web page above.

All laboratory questions should be addressed to the lab instructor.

Books & Supplies (Available at Concordia University College of Alberta Bookstore):

  1. M. F. Triola et. al. “Elementary Statistics, 3rd Canadian Edition”, Pearson Canada, 2010, Toronto.
  2. Math 151 Lab Manual”, CUCA, 2011.
  3. Useful online learning system (totally optional): MyStatLab
    Access code may be purchased at: 
  4. A calculator capable of doing statistics.

Course ScheduleM/W/F.: 12:05 – 12:55, in T – 104

Additional Bibliography: (optional – do NOT purchase)

  1. Statistics: A First Course”, J. E. Freund & B. M. Perles, Prentice Hall.
  2. Basic Statistics a Modern Approach”, M. Hamburg, Harcourt Brace Jovanovich Inc.
  3. Statistics for the Terrified”, G. Kranzler & J. Moursund, Prentice Hall.


  • This schedule is tentative and subject to modifications.

  • Chapter numbers refer to the textbook.

  • Approximately one week’s notice will be given before each test.

Ch. 1 Introduction to Statistics
1.1 Overview
1.2 The Nature of Data
1.3 Uses and Abuses of Statistics
1.4 Design of Experiments

Ch. 2 Describing, Exploring, and Comparing Data
2.1 Overview
2.2 Summarizing Data with Frequency Tables
2.3 Graphs of Data
2.4 Measures of Central Tendency
2.5 Measures of Variation

2.6 Measures of Position

2.7 Exploratory Data Analysis (EDA)

Ch. 3 Probability
3.1 Overview
3.2 Fundamentals
3.3 Addition Rule
3.4 Conditional Probabilities
3.5 Multiplication Rule and Bayes’ Theorem

3.6 Counting

Ch. 4 Discrete Probability Distributions
4.1 Overview

4.2 Random Variables

4.3 Binomial Probability Distributions

4.4 Mean, Variance, and Standard Deviation
for the Binomial Distribution

4.5 The Poisson Distribution
4.6 The Hypergeometric Distribution

Ch. 5 Continuous Probability Distributions
5.1 Overview
5.2 The Standard Normal Distribution
5.3 Normal Distributions: Finding Probabilities
5.4 Normal Distributions: Finding Values
5.5 The Central Limit Theorem
5.6 Normal Distribution as Approximation to Binomial Distribution

5.7 Exponential Distribution

Test #1, Weight 15%, Duration: 50 min.


Ch. 6 Estimates and Sample Sizes

6.1 Overview

6.2 Estimating a Population Mean: Large Samples

6.3 Estimating a Population Mean: Small Samples
6.4 Estimating a Population Proportion
6.5 Estimating a Population Variance



Ch. 7 Hypothesis Testing

7.1 Overview

7.2 Fundamentals of Hypothesis Testing
7.3 Testing a Claim About a Mean: Large Samples
7.4 Testing a Claim About a Mean: Small Samples
7.5 Testing a Claim About a Proportion
7.6 Testing a Claim About a a Standard Deviation or Variance

Ch. 8 Inferences from Two Samples
8.1 Overview
8.2 Inferences About Two Means: Dependent Samples
(Matched Pairs)
8.3 Inferences About Two Means: Independent and Large Samples
8.4 Comparing Two Variances
8.5 Inferences About Two Means: Independent and Small Samples
8.6 Inferences About Two Proportions


Test #2, Weight 15%, Duration: 50 min.

Ch. 9 Analysis of Variance

9.1 Overview
9.2 One-Way ANOVA
9.3 Two-Way ANOVA (*)

Ch. 10 Goodness-of-Fit and Contingency Tables

10.1 Overview
10.2 Goodness-of-Fit

10.3 Contingency Tables: Independence and Homogeneity
10.4 Tests of Normality


Ch. 11 Correlation and Regression

11.1 Overview

11.2 Correlation
11.3 Regression
11.4 Variation and Prediction Intervals
11.5 Multiple Regression


Test #3, Weight 15%, Duration: 50 min.

Ch. 12 Non-Parametric Statistics (*)
12.1 Overview
12.2 Sign Test
12.3 Wilcoxon Signed-Ranks Test
12.4 Wilcoxon Rank-Sum Test for Two Independent Samples
12.5 Test for Multiple Samples
12.6 Rank Correlation
12.7 Runs Test for Randomness

(*) As time permits


Final Examination (cumulative). Weight: 40%. Length: 2 hours.
Date: as per Exam Schedule issued by the Registrar’s Office.


There is a laboratory component to this course. Please consult your Registration Schedule for information about times and laboratory room. You must pass the labs to pass the course. A pass in the labs is a minimum of 65%. If a pass in the labs is not attained, a grade of ”F” will be assigned as the final grade for the course. All laboratory questions should be addressed to the lab instructor. The lab work contributes 15% towards the final grade. More information will be provided by your lab instructor.

Instructor-Student Communication:

  1. Students should know how to access their e-mail ”yourname@student.concordia.ab.ca‘ and to check it regularly. Instructors use it to send course announcements to students.
  2. The instructor regrets that he is unable to answer assignment questions over e-mail.

Cellular Telephone Policy:

All cellular telephones should be de-activated upon enrty into any classroom or lab. A cellular phone may be left on, only with the express permission of the instructor. Permission MUST be obtained before the class commences. During tests, cellular phones must be de-activated, placed in the student’s bag, and the bag left at the front of the class.

Test/Exam Regulations:

  1. Tests/Exams may not be missed. There are NO MAKE-UP TESTS.

  2. Students must inform the instructor ahead of time by telephone (leave a message at
    780-479-9360) or by e-mail (
    tomtavou@math.concordia.ab.ca), if unable to present
    themselves for a test due to illness or other serious extenuating circumstances.
  3. Students must contact the instructor in person as soon as possible after a missed test. At that
    time, they should present a physician’s note or other appropriate proof of the reason the test
    was missed. In this case, the weight of the missed test will be added to the final exam.

  4. A missed test is considered non-excused, if either rule 2 or 3 above has not been adhered to. The missed test in this case is assigned a grade of zero.

  5. All tests/exams are closed book.

  6. All Concordia University College of Alberta rules and regulations apply; in particular the ones regarding Academic Honesty. See CUCA Calendar.

Lecture Format:

  1. Each lecture commences with a brief, point-form review of material covered in the previous

  2. Question period: to clarify and explain concepts further, and to solve homework problems.

  3. Theoretical presentation and treatment of new material.

  4. Model examples.

How to Do Well:

  1. Do not skip classes. Attend regularly. If you miss a class due to illness, obtain the notes and do
    the homework as soon as possible.

  2. Try to read ahead by one lecture.

  3. In class, pay attention, scrutinize every sentence or statement, never be embarrassed to ask.

  4. Look up your notes as soon as possible after a lecture.

  5. Study systematically, using pencil and paper; do not simply read.

  6. Study notes and textbook carefully. Make sure that you have understood a concept well, before
    proceeding to the next one. Test your understanding of the concept by mentally defining it or pretending to explain it to someone else; be clear, concise and precise.

  7. After studying solved examples, whether from your textbook or notes, make sure that you can solve the same problems independently.

  8. Try the homework problems after you have done steps 6 and 7 above.

  9. If a particular problem gives you trouble, leave it for a while, and come back to it at a later time (or next day). If still unsuccessful, ask in class. If questions still persist, discuss them with your colleagues, and seek help from your professor.

  10. Use the math lab on a regular basis for your homework and for computer practice.

  11. Working in small groups often helps, provided the group participants are all willing to actively contribute to the work and discussions, and they are not simply passive recipients of work done by others.

  12. Remember… Question time is all the time! Ask!

  13. Study regularly. Do not “fall behind”. Every topic is built on the previous one.

  14. Do not cram before exams. Exams are designed to test your understanding of the material and your competence in the course according to established criteria and standards; they are also meant to rank students according to their performance in the course. They are not meant to trick or fool them.

  15. Review often. Reviewing enhances the understanding, aids learning and builds up confidence.

  16. Enjoy the course! I wish you well!

Evaluation Scheme:

  1. The weights of tests/exams are indicated under “Syllabus/Tests/Exams” above.

  2. Tests/exams are marked out of 100.

  3. The final weighted average is calculated as a percentage and reported on the alpha grading scale as follows:

% Range

Alpha Scale

98 – 100


95 – 97


90 – 94


85 – 89


80 – 84


75 – 79


70 – 74


65 – 69


60 – 64


55 – 59


50 -54


00 – 49


  1. The Bell curve will NOT be applied. Students know their standing in the course at any point in time as a result of their marks in the tests. Marks are not scaled.

  2. Assignments are given on a regular basis. However, they are not collected or graded. It is the responsibility of the individual student to do his/her homework.

  3. All final marks will be reported on the Four-Point Grading Scale as follows (also see Calendar):

Four-Point Grading Scale


Alpha Grade

Grade Point Value









Very Good


















Minimal Pass






When difficulties arise…
If you feel you need help, do not hesitate to seek it. Here is a list of people who can assist you in various circumstances…

  1. About the course… Contact your professor, Dr. A. N. (Tom) Tavouktsoglou, F.H.-204, Tel. 780-479-9360, tomtavou@math.concordia.ab.ca
  2. About the labs… Contact your lab instructor (see page 1 of this handout). Please DO NOT ask your professor laboratory related questions.
  3. General academic or personal… Contact the Dean of Undergraduate Studies, Dr. Jonathan Strand, jonathan.strand@concordia.ab.ca
  4. Psychological, Personal… Contact the Campus Counselling Psychologist, Barbara Van Ingen, barbara.vaningen@concordia.ab.ca
  5. Spiritual, Pastoral… Contact the Campus Chaplain, Rev. Dr. Garry Dombrosky garry.dombrosky@concordia.ab.ca
  6. Career Counseling… Contact our campus career practitioner, Ms. Doreen Kooy, 
  7. Assistance in writing… Make an appointment by contacting Student and Enrollment Services.

Academic Hierarchy:

  1. Dr. Vladimir Pitchko, Associate Professor of Chemistry, Chair of the Science Division,
    F.H. – 305, Tel.: 780-379-9376, 
  2. Dr. Jonathan Strand, Dean of Undergraduate Studies, jonathan.strand@concordia.ab.ca