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INSTITUTE OF TECHNOLOGY & ADVANCED LEARNING
LIBERAL ARTS AND SCIENCES DIVISION
COURSE OUTLINE
ACADEMIC YEAR 2006-2007
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COURSE NAME
Business Statistics
COURSE NUMBER
BSTA 300
(Day & Evening, North & Lakeshore)
CREDIT VALUE
3
TEXTBOOK
Triola, Goodman, Law. Elementary Statistics. 2nd Canadian Edition
PREREQUISITE
BMAT 210 or BMAT 220
FACULTY
NAME _____________________________________
OFFICE PHONE: 416-675-6622 EXT._________
OFFICE HOURS: By appointment
MATHEMATICS COORDINATOR
Mohammad Hussain OFFICE K201
APPROVED BY
Crystal Bradley, Associate Dean
June 2006
Date
COURSE DESCRIPTION
This course covers modern descriptive and inferential statistics. The course deals with the application of
formulas, techniques and computer use. Emphasis will be on the recording, presentation and analysis of
data, forecasting and decision-making.
INSTRUCTIONAL GOALS
Students will become familiar with statistical techniques that will enhance their studies in their business
program. They will learn the statistics essential for applications in decision making, measuring and
sampling in the world of Business, Manufacturing and Finance. This course will also give students a
solid foundation for more advanced statistical studies.
LEARNING OUTCOMES
After completing this course the student will be able to
1.
Define the term statistics and be able to distinguish between descriptive statistics and
inferential statistics.
2.
Define the following terms: quantitative data, qualitative data, discrete data, continuous data.
3.
Distinguish between the levels of measurement and different sampling methods.
4.
Explain some uses and abuses of statistics.
5.
Summarize data by constructing frequency distributions, frequency histograms, bar charts, pie
charts and line graphs.
6.
Calculate the following measures of central tendency: the mean, the median, the mode, the
midrange and the weighted mean from ungrouped data and be able to understand the
significance of these measures. Calculators and/or computer software such as Excel may be
used.
7.
Calculate the following measures of variation: range, the standard deviation and the variance
from ungrouped data using calculators and/or computer software such as Excel. Be able to
understand the significance of these measures.
8.
Calculate percentiles from ungrouped data and understand their significance.
9.
Calculate an estimate of the mean, the median and the standard deviation from grouped data.
10.
Distinguish between symmetrical distributions and skewed distributions.
11.
Construct a Scatter Diagram and perform a simple linear regression analysis.
12.
Calculate the equation of a linear regression line using the method of least squares.
13.
Calculate the coefficient of determination and the coefficient of correlation. Be able to explain
the meaning of these two coefficients and determine the strength of a linear relationship.
14.
Use the regression equation for prediction of the independent variable.
15.
Define probability.
16.
Demonstrate an understanding of the following probability terms: event, experiment, random
variable, simple and compound events, mutually exclusive events, dependent and independent
events.
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LEARNING OUTCOMES
17.
Use probability tools such as Venn diagrams and probability trees.
18.
Use the appropriate rules of counting to establish sample space size.
19.
Solve probability problems involving the addition rules, the multiplication rules and the
conditional rule.
20.
Demonstrate an understanding of the Binomial experiment.
21.
Calculate Binomial probability.
22.
Demonstrate an understanding of the characteristics of a uniform distribution and the standard
normal distribution.
23.
Calculate 'z' values and probabilities associated with normal distributions.
24.
Develop an understanding of the sampling distribution of sample means.
25.
Calculate the standard error of estimate.
26.
Demonstrate the use of the Central Limit Theorem.
27.
Construct confidence intervals for the population mean using large samples.
28.
Construct confidence intervals for the population proportion using large samples.
29.
Demonstrate an understanding of the student t distribution and know when to use it.
30.
Construct confidence intervals for the population mean using small samples.
31.
Construct confidence intervals for the population proportion using small samples.
32.
Determine the sample size for use in the estimation of a population mean.
33.
Identify the null and alternative hypothesis for a given statement or opinion.
34.
Define type I and type II errors in an hypothesis test.
35.
Perform a two-tailed hypothesis test for the stated population mean and proportion.
36.
Perform a one-tailed hypothesis test on population mean and proportion.
37.
Use popular spreadsheet programs such as Excel, Quattro Pro, or other computerized
statistical programs to analyse and display large amounts of data.
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GENERIC EMPLOYABILITY OUTCOMES
Generic/Employability Skills are broad-based, transferable skills which provide the foundation for
specific program skills essential to a student’s academic and vocational success.
The
Generic/Employability Skills are comprised of communications, personal, interpersonal, thinking,
mathematics, and computer applications skills. Through the successful completion of this course, the
student will develop the following specific generic skills:

Students are required to apply critical thinking skills in order to solve word problems in
business courses.

Students learn to identify the premises and assumptions underlying statistical business word
problems presented in this course.

Students learn the analysis of data provided by the professor.

Students learn to organize data using tables, diagrams, graphs and related computer software.
COURSE CONTENT OUTLINE
WEEKS
1-5
TOPIC
CHAPTERS
INTRODUCTION TO STATISTICS
1
 Definition of - statistics, population, census, sample.
 Nature of Data - quantitative, qualitative, discrete, continuous,
level of measurement, sampling methods.
 Uses and abuses of statistics.
 Using calculators and computers for statistics.
DESCRIBING, EXPLORING AND COMPARING DATA
 Meaning of Descriptive Statistics and Inferential Statistics.
 Summarizing data using tables, charts and graphs.
 Constructing frequency distributions, relative frequency
distributions and percentage distributions.
4
2.1, 2.2, 2.3
COURSE CONTENT OUTLINE
WEEKS
TOPIC
1-5
MEASURES OF CENTRAL TENDENCY
CHAPTERS
2.4
 Calculation of the arithmetic mean, median, mode, midrange
and weighted mean for ungrouped data.
 Calculation of the mean and median for grouped data.
 Characteristics of each measure of central tendency.
 Symmetry and skewness.
MEASURES OF VARIATION
2.5, 2.6
 Calculation of the range, standard deviation, variance and
percentiles from ungrouped data.
 Calculation of the standard deviation and variance from
grouped data.
 Significance of percentiles and of the standard deviation.
SIMPLE LINEAR REGRESSION & CORRELATION
 Scatter diagrams; calculation of the equation of a regression
line by the method of least squares; coefficient of determination
and coefficient of correlation.
TEST # 1
5
9.1, 9.2, 9.3, 9.4
COURSE CONTENT OUTLINE
WEEKS
6 - 10
TOPIC
CHAPTERS
PROBABILITY
 The meaning of probability, random sample, experiment,
event, sample space, union of events, intersection of events,
complementary events, Venn diagrams, probability trees,
mutually exclusive events, independent and dependent events.
 Probability calculations using the addition rules, multiplication
Rules, the conditional rule and rules of counting.
 Binomial Probability Distribution, Properties of the Binomial
Experiment and Binomial probability calculations.
3.1, 3.2, 3.3,
3.4, 3.5, 3.6,
4.3
TEST # 2
11 - 15
NORMAL PROBABILITY DISTRIBUTIONS
 Uniform distributions, probability density curve, the standard
normal distribution.
 Calculations involving the standard normal distribution.
 Calculations of 'z' values and probabilities associated with
normal distributions.
 Sampling distribution of sample means, Central Limit Theorem,
the standard error of the mean, finite and infinite populations.
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5.1, 5.2, 5.3
5.4, 5.5
11 - 15 ESTIMATING POPULATION MEANS AND POPULATION
PROPORTION AND SAMPLE SIZES
6.1, 6.2, 6.3
 Point estimates, confidence levels, confidence intervals,
level of significance, the student distribution.
 Constructing confidence intervals for the population mean
and proportions using large and small samples.
 Determining the sample size.
HYPOTHESIS TESTING




Fundamentals of hypothesis testing, type I and type II errors.
Hypothesis Testing on means.
Hypothesis Testing on Proportion.
Conducting two tailed and one tail hypothesis tests.
TEST # 3
7
7.1, 7.2, 7.3, 7.4
REQUIRED TEXT(S) AND OTHER LEARNING MATERIALS
TEXTBOOK
Triola, Goodman, Law. Elementary Statistics. Custom Edition
Pearson Education Canada Inc., 2001. ISBN 05-36270503.
REQUIRED CALCULATOR
Texas Instruments - BA II Plus
ATTENDANCE REQUIREMENTS
Students are expected to attend classes on a regular basis and complete all assigned homework. In
this course, an integral part of the learning process occurs in the classroom through instruction,
demonstration of sample problems, asking questions, and practising solving problems. Students who
miss a class will find it difficult to understand and apply the material covered. Students who miss
classes on a regular basis are at risk to fail this course and may have to repeat the course in the
following semester.
METHOD OF STUDENT EVALUATION
Classes will take the form of lectures with problems relating to current business problems. There will
be three tests and one assignment with the following grade distribution.
Tests will consist of a variety of evaluation techniques. 30% of the evaluation will be based upon
multiple choice or similar type questions and 70% of the evaluation will be based upon detailed
evaluation. It is recommended that students retain all returned graded material to the end of the
semester.
Test 1
Test 2
Test 3
Assignment
-
30%
30%
30%
10%
______
Total
100%
* NOTE *
On test and assignments, statistical calculators are allowed in computations. However, solution steps
must be shown in order to receive full marks for the question. Part marks are given at the discretion
of the instructor if the correct steps are clearly shown even though the answer may be incorrect.
It is the student's responsibility to notify the instructor that he/she will miss a test for justifiable
reasons. Students will be required to provide supporting documentation justifying the reason for
missing the test. Failure to notify the instructor prior to the test forfeits the option of writing a missed
test. Failure to write a test will result in a zero mark for that test.
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CHEATING POLICY
Any student caught cheating on a quiz, test, or examination will automatically receive a grade of 0%
and be required to meet with the Instructor before being allowed to continue with the course. On the
second offence, the student will be removed from the class and be required to meet with the
Associate Dean and may be withdrawn from the course. Please note that sharing or borrowing
calculators during quizzes and tests will not be permitted.
SUPPLEMENTAL EXAMINATIONS
There are no supplemental exams in courses offered by the Liberal Arts and Sciences Division.
OTHER LEARNING RESOURCES AVAILABLE
MATH CENTRE:
Tutoring and assistance are available in the Math Centre
North Campus
Lakeshore Campus
The Math Centre is located in the
Guelph/Humber Building
on the Second Floor (Room GH203).
The math assistance is available
in Room F201
Peer tutoring is available through the Counselling Office.
North Campus -Room D128
Lakeshore Campus - Room A120
TEST CENTRE:
North Campus
Lakeshore Campus
Located in Room D 255
Located in Room E112
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ACADEMIC POLICIES
I.
STANDARDS
The style of all your written work should be clear and concise. The characteristics of such a
style are as follows:
1.
grammatical correctness
2.
appropriate vocabulary
3.
clear sentences
4.
logical organization
II.
PLAGIARISM AND CHEATING
Plagiarism is the act of submitting as one’s own, material that is in whole, or in substantial
part, someone else’s work. Students are expected to acknowledge the sources of ideas and
expressions they use in essays, reports, assignments, etc. Failure to do so constitutes
plagiarism and is punishable by academic penalty.
Cheating, by obtaining answers to exam and test questions through unauthorized means (from
another student, from hidden notes, etc.), is also an academic offence and is punishable by
academic penalty.
An academic penalty begins with the assignment of a grade of zero (0) in such situations and
can be extended up to and including suspension from a program/course and expulsion from
Humber.
III.
DROPPING A COURSE
It is the responsibility of students who wish to drop this course to notify the teacher and the
Office of the Registrar. Information regarding dropping a course is available in the
Registrar’s Office, the divisional offices, the Continuing Education Calendar, and is outlined
on the reverse side of the Continuing Education “Admit to Class” forms.
IV.
STUDENT FILES/APPEAL PROCEDURES
Informal
When students disagree with a final grade or any academic decision pertaining to this course,
they should discuss the matter with the faculty member in an attempt to resolve the
disagreement. If the matter is not resolved, students should discuss the problem with the
Coordinator. If the matter is still not resolved, the next person to contact is the Associate
Dean.
Math & Science Coordinator: Mohammad Hussain
Office K201 Phone x 4380
Math/LBS/OBS/G.A.S. Associate Dean: Crystal Bradley Office K201 Phone x 4606
It is your responsibility to keep copies of all your work in the course.
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Formal
If the student is still not satisfied with the result of the informal appeal, a formal Appeal in
writing may be initiated to the Registrar. Such documentation must be completed within six
(6) weeks from the end of the course. Full details on the Appeal procedures are available in
the Registrar’s Office.
The outcome of the Appeal will be officially communicated to the student who launches the
Appeal and all other parties involved in the formal Appeal Process.
V.
STUDENTS WITH DISABILITIES
Students who require assistance in note-taking or accommodation in tests should advise the
Students with Disabilities Office, as well as their teacher, at the beginning of the course. The
Students With Disabilities Office is located in D128 at the North Campus and in A120 at the
Lakeshore Campus.
VI.
ACADEMIC REGULATIONS
Students have the responsibility for being aware of regulations. These regulations are
available at course registration time and at any time throughout the semester, from the
Registrar’s Office or from the Humber web site (http://registrar.humberc.on.ca) under the
heading of General Information.
VII.
STUDENT/FACULTY CONSULTATION OUTSIDE OF CLASSROOM HOURS
It is the responsibility of your teacher to be available for consultation with you outside of
classroom hours. Teacher and student timetables may vary significantly; as a result, a
consultation time will have to be arranged that is mutually agreeable to both the teacher and
student. Arrangements to meet with a teacher outside of classroom hours should be made
during regularly scheduled classes.
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