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I.
PREREQUISITES
Math 163A, Introduction to Calculus, and Math 250 Introduction to Probability
and Statistics I, or equivalent. Course is considered a continuation of
Math 250 and should be taken as soon as possible after completion of Math
250.
II.
COURSE DESCRIPTION
This course represents the second course of a two-course sequence in probability
and statistics required of all majors in the College of Business at Ohio
University. As such, it builds on the basic foundations of probability
and descriptive statistics that are studied in Math 250. The assumption
throughout this course is that additional information, primarily in the
form of sample data, will be obtained before making a decision. At the
beginning of the textbook, there is a discussion of several different
kinds of sampling distributions covered in Math 250.
There are four major
new topics in this course. The first is statistical inference.
What can we infer about a population based on sample information? The
second, an obviously related topic, is decision making based upon sample
(and possibly, prior) information.
The major types of
decision problems considered are those where the best decision depends
on the value of the population mean or proportion, or on the nature of
the relationship between two or more population variables. Linear regression
and correlation analysis, which falls into this latter category, is
the third particularly important topic covered in this course. It is an
area of application for the techniques of inference and decision making
learned in the earlier parts of the course.
A fourth major topic
is decision making (hypothesis testing) using nonparametric statistics.
The difference between parametric statistical hypothesis testing (used
implicitly throughout most of the course) and nonparametric statistical
testing revolves around the number of assumptions we make about the population(s)
and the type of data. Non-parametric statistical procedures require us
to make fewer assumptions, and therefore we are more comfortable in using
them. They also
are useful with only crude measurement data, and thus they are applicable
in situations where parametric procedures are not. On the other hand,
because we make fewer assumptions, or because we have data of poorer quality,
we end up not being able to make inferences as strong from sample data
about the population(s).
The major objectives
of this course are to give you a good grasp of:
| 1.
|
when
formal statistical analysis can be useful in a decision-making context. |
| 2.
|
some
basic procedures for collecting sample data to support or change inferences
about populations. |
| 3. |
how to use sample data to develop point and interval estimates of
relevant population characteristics such as the mean and/or proportion. |
| 4. |
how to develop decision rules in a variety of problem contexts for
evaluating sample data and deciding what influence it should have
on a course of action. |
| 5. |
the importance of correlation and regression analysis in a business
environment. |
| 6. |
when nonparametric statistical analysis should be preferred. |
Chapters in the required
textbook covered on the examination are:
Chapter . . .1
Chapter . . .3 . . .(pages 58–68, 71–81)
Chapter . . .7 . . .(pages 219–231)
Chapter . . .8
Chapter . . .9 . . .(omit Finite-Population Correction Factor, pages 300-301)
Chapter . .10
Chapter . .11
Chapter . .12 . . .(omit Two-Way Analysis)
Chapter . .13 . . .(omit pages 451–454)
Chapter . .14
Chapter . .15
Chapter . .16 . . .(pages 569–572 only)
III.
TEXTBOOK AND SUPPLIES
ISBN-13: 9780072971217 Lind, Douglas, Marchal, William and Samuel Wathen,
Statistical
Techniques in Business and Economics, 12th ed. (with supplements), Irwin McGraw-Hill
Publishers, 2005
...available from
EdMap's distance-learning online
bookstore.
| STUDENTS
ARE STRONGLY ADVISED NOT TO BUY TEXTBOOKS UNTIL REGISTERED
IN COURSES AS REQUIRED EDITIONS CAN CHANGE WITHOUT NOTICE. |
IV.
NATURE OF THE EXAMINATION
Approximately sixty percent (60%) of the points will be based on your
completing problems similar to those listed below which are found in the
textbook. The rest of the points will be based on your answers to multiple
choice questions designed to test: (1) your understanding of the assumptions
and limitations that underlie various kinds of statistical analysis; (2)
when different kinds of analyses are to be used, and (3) how one goes
about obtaining a set of sample observations and using them to make inferences
about a population characteristic or make decisions that require knowledge
of the value of that population characteristic.
It is important
to show all of your analysis in completing any of the problems. Most of
the possible points for a problem are based on the process you used to
arrive at an answer, not on whether that final answer per se is right
or wrong.
You will need a calculator.
There are three basic things that you need on your calculator: a square
root key, a key marked LOG, and a key marked 10x.
Bring extra batteries. All necessary statistical tables will be supplied
with the test. A formula sheet will be supplied also, giving some, but
not all, the formulas you will need. A copy is included with this Information
Sheet. Formulas & Tables
You will be allowed
four hours to complete the examination and you should plan to use the
entire time. If you plan to take the examination in Athens, you should
schedule it for a Saturday morning or during a weekday between 8:00 a.m.
and 1:00 p.m.
V.
REVIEW PROBLEMS FOR THE EXAMINATION
The following guide is provided to assist your preparation for the examination.
Work through the problems until you can solve them easily.
|
Chapter # |
Problems |
1 . . . .
3 . . . .
7 . . . .
8 . . . .
9 . . . .
10 . . . .
11 . . . .
12 . . . .
13 . . . .
14 . . . .
15 . . . .
|
. . 6, 13, 16, 18
. . 10, 16, 22, 42, 46, 48, 52
. . 8, 12, 14, 18, 20, 22, 24, 26
. . 6, 16, 18, 32 (page 278), 34, 36, 38
. . 4, 8, 10, 12, 14, 16, 18, 28, 30
. . 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
. . 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
. . 4, 6, 8, 10, 12, 14
. . 2, 4, 6, 8, 10, 12, 14, 16
. . 2, 4, 6, 8, 10, 12, 14
. . 2, 4, 6, 8, 12, 14, 16 |
VI.
GRADING CRITERIA
| |
93–100 %
90–92 %
87–89 %
83–86 %
80–82 %
77–79 % |
= A
= A-
= B+
= B
= B-
= C+ |
73–76 %
70–72 %
67–69 %
63–66 %
60–62 %
below 60 % |
= C
= C-
= D+
= D
= D-
= F |
|