Download MATH-250: Elementary Statistics

COFFEYVILLE COMMUNITY COLLEGE
MATH-250
COURSE SYLLABUS
FOR
ELEMENTARY STATISTICS
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·,.
SPRING 2014
KENDALL PAYNE
INSTRUCTOR ·
MATH SCIENCE DIVISION
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COURSE#:
MATH-250
COURSE TITLE:
Elementary Statistics
CLASS TIME:
11:00-11:50 PM MWF
CREDIT HOURS:
3 Credit Hours
INSTRUCTOR:
Kendall Payne
OFFICE LOCATION:
Room 208, Arts/Sciences Hall
OFFICE HOURS:
Posted on Office Door
TELEPHONE:
251-7700 Ext. 2126
E-MAIL:
kendall(2ailcoffeyville. ed u
kendall(2ayne 1982@gmail. com
E-mail both addresses
If you e-mail me, I will e-mail you back. If you have
not heard from me within 24 hours, assume that I did
not receive your e-mail. At that point, you need to call
and leave a message on my recorder.
PREREQUISITES:
REQUIRED TEXT
AND MATERIALS:
Intermediate Algebra
Just the Essentials of Elementary Statistics.
Robert Johnson and Patricia Kuby,
Duxbury Press, gth Edition, 2005.
Calculator, Texas Instruments TI-30XA (common
calculator costing between $10 -$20).
COURSE
DESCRIPTION:
An introduction to statistics for students of various
majors. Topics included in this course are analysis of
data, discrete and continuous distributions, sampling,
and statistical inference.
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EXPECTED LEARNER
OUTCOMES:
1.
2.
3.
4.
5.
6.
7.
·a.
9.
10.
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12.
13.
14.
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16.
17.
Learn and be able to use the basic vocabulary
pertaining to the study of statistics.
Explain and use the concepts of data measurability,
variability, and collections.
Explain the difference between probability and
statistics.
Draw and interpret basic types of graphs.
Identify and use properly the commonly used
measures of central tendency.
Understand and be able to apply the principle of
"standard deviation."
Understand and be able to apply accurately the
concept of "Bi-variate Data."
Discuss and apply the concept of "Linear
Correlation" to sets of data.
Discuss and apply the concept of "Linear
Regression" to given sets of data.
Explain and apply the simple rules of probability to
problem situations.
Explain and apply the concept of conditional
probability to various problem situations.
Explain and apply the concept of Probability
Distributions.
Explain and apply the concept of Normal Probability
Distributions to problem solving.
Explain and apply the concept of sample variability
and the Central Limit Theorem.
Understand and apply the process of hypothesis
testing correctly to a given situation.
Explain and be able to apply the various inferences
involving one population.
Explain, utilize, and interpret the t-test to compare
two sets of data.
LEARNING TASKS
AND ACTIVITIES
Part 1 Descriptive Statistics
Part 2 Probability
Part 3 Inferential Statistics
ASSESSMENT OF
OUTCOMES
The student will be assessed in three areas:
A.
Cognitive:
Knowledge and understanding of the materials.
Knowledge of all areas of material will be assessed
through exams which are mainly objective in
nature(Multiple Choice and Matching questions), with
additional short answer/essay questions. (40% of
grade)
B.
Metacognition:
Each student will be required to show how they can
incorporate the cognitive aspects of this material
attained from the text and lectures by answering study
guide questions. These questions will represent the
different levels of learning. These will be presented in
written and verbal form. (40% of grade)
C.
Affective
Attendance~ ' attitude, assignments and participation in
classroom discussion and exercises. (20% of grade)
GRADING POLICY
Semester grades will be based upon the following:
1.
2.
3.
4.
5.
UNIT TESTS
Unit tests
In-class exercises
Pop quizzes
Homework
Final exam
There will be four unit tests. Each test will be worth
100 points. As a student you are required to be
present for all exams. If you cannot be present for an
exam, you must notify me IN ADVANCE.
ABSOLUTELY NO MAKEUP TESTS WILL BE
GIVEN AFTER THE DATE OF THE TEST. If you are
not present for an exam, and I have not heard from
you by the day of the exam, you will not be allowed to
make up the exam and will be given a zero (0) for that
exam .
. . -,
Cell phones may not be used on tests. If caught with
a cell phone out during a test, you will take a zero (0)
for that test.
IN-CLASS EXERCISES
There will be days that I will have the class work
problems on the board to tum in. This will not be
announced ahead of time. If you miss class with an
unexcused absence, this work cannot be made up.
POP QUIZZES
Occasionally, I will give pop quizzes at the beginning
of class. Each quiz will be worth 10 to 20 points.
These quizzes will be unannounced. If you miss
class that day with an unexcused absence, you will
not be allowed to make up the quiz.
HOMEWORK
You will be given homework to do nearly every class
period. The homework will consist of both reading
and written assignments. On some days, I will pick
up the homework. On the other days, we will go over
the homework in class. Homework exercises will be
20 to 40 points apiece. Each assignment will have a
due date. Each assignment must be turned in at the
beginning of class on the day that it is due. Any
assignment not turned in at the beginning of class
WILL NOT BE ACCEPTED.
FINAL EXAM
The final exam will be comprehensive and will be
worth 100 points. Your final exam is on Wednesday,
May 7, 2014 from 12:00 to 1:40PM. All students
must take the final exam on this date at this time. The
final will not be given at any other time. NO
EXCEPTIONS II
GRADING SCALE
A ...................... 90-100%
8 ........................ 80- 89%
c ........................ 70 -79%
D ........................ 60-69%
F .......................... 0- 59%
4 exams (@100 points) ......................... .400 points
Homework/pop quizzes ......................... 500 points
Final exam ............................................ 100 points
TOTAL POINTS .................................. 1000 points
INCOMPLETES:
Incomplete grades for the semester will be g'iven in
case of emergencies and only by mutual consent of
the student and the instructor.
PLAGIARISM:
Plagiarism is an unacceptable activity. You are
expected to do your own work on all homework
exercises, worksheets, lab exercises and exams. Any
student caught cheating will be immediately dropped
from the class. There is no second chance! lf you
are caught, you will be dismissed from the class.
CELL PHONES:
All cell phones are to be turned off and put away
during class. This also applies to MP-3 players. The
first time you are caught with a cell phone out, you will
be given a warning. The second time you are caught
you will be dismissed from class.
ATTENDANCE:
Each student is required to attend every class
session. Only in the event of illness or an emergency
will you be excused from class. All other absences
will be classified as unexcused absences. In event of
illness or emergency, you must notify me personally
by telephone or e-mail. If you are not in class and I
have not heard from you by the beginning of the next
class session, you will be given an unexcused
absence. You must either call me or e-mail me
before the class meets the next time; coming up to
me before class on the day of the next class session
will not excuse your absence.
IMPORTANT NOTE: After seven (7) absences
during the course of a semester, the student will be
dropped from the course. This includes both
excused and unexcused absences.
A summary of excused and unexcused absences is
listed below:
EXCUSED ABSENCES:
•!• Illness
•!• Emergency(Personal or family related)
•!• Participation in a school related activity
For those students that have to miss class due to
school related activities (sports, music, etc), these
absences will not count toward the three excused
absences provided that their exams and/or homework
are made up prior to missing class.
If you have to be gone for a school sponsored activity
and will miss a test, it is your responsibility as a
student to get in touch with me and take the test
before you leave for the activity. If the test is not
made up ahead of time, you will not be allowed to
make up the test. Remember, no make-ups for tests
will be given after the day of the test.
NOTE: Each student is allowed only three
excused absences. After the third excused
absence, all absences become unexcused
absences.
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For excused absences, it is your responsibility to get
in touch with me to make up any tests and/or
homework. Any tests and/or homework that need to
be made up must be done by the next class period.
After the third excused absence, no tests and/or
homework can be made up.
Those students that must miss class because of a
school related activity must make up any exams and
homework they will miss before the day they are
going to miss class.
UNEXCUSED ABSENCES:
For unexcused absences, you will not be allowed to
make up the work that you missed. THIS INCLUDES
EXAMS .
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COMPETENCIES for
ELEMENTARY STATISTICS
LEARN AND BE ABLE TO USE THE BASIC VOCABULARY PERTAINING TO THE
STUDY OF STATISTICS
1.
2.
3.
Define the following terms: Attribute data, census, continuous data, data,
and descriptive statistics.
Define the following terms: Discrete data, experiment, judgment sample,
numerical data, parameter, and population.
Define the following terms: Random, sample, statistic, systematic variable,
variability.
EXPLAIN AND USE THE CONCEPTS OF DATA MEASURABILITY, VARIABILITY,
AND COLLECTION
1.
Random, random sample, response variable, representative-sampling
frame, variability
IEXPLAIN THE DIFFERENCE BETWEEN PROBABILITY AND STATISTICS
1.
Define the following terms: probability, probability sample
IDRAW AND INTERPRET BASIC TYPES OF GRAPHS
1.
2.
Draw and interpret Stem and Leaf graphs.
Draw and interpret Histogram type graphs.
IDENTIFY AND USE PROPERLY THE COMMONLY USED MEASURES OF
CENTRAL TENDENCY
1.
2.
Calculate and utilize properly the mean and median for a given set of data. ...
Calculate and utilize properly the mode and midrange for a given set of
data.
UNDERSTAND AND BE ABLE TO APPLY THE PRINCIPLE OF "STANDARD
DEVIATION"
1.
Calculate and interpret the standard deviation for a given set of data.
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UNDERSTAND AND BE ABLE TO APPLY ACCURATELY THE CONCEPT OF
"BIVARIATE OATA"
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1.
2.
Explain the concept of "bivariate data" and give an example.
Give an example of two qualitative, two quantitative, and one qualitative,
and one quantitative sets of data.
DISCUSS AND APPLY THE CONCEPT OF "LINEAR CORRELATION" TO SETS
OF DATA
1.
2.
Explain the range and significance of various coefficients of linear
correlation.
Calculate the coefficient of linear correlation, the Pearson's product
moment r, for a given set of data.
DISCUSS AND APPLY THE CONCEPT OF "LINEAR REGRESSION" TO GIVEN
SETS OF DATA
1.
2.
3.
Plot a linear graph for a given set of data.
When given a set of data and its correlation information, calculate a linear
regression equation for it.
When given the linear regression equation for a set of data, be able to use
it to predict other cases.
EXPLAIN AND APPLY THE SIMPLE RULES OF PROBABILITY-TO PROBLEM
SITUATIONS.
1.
2.
·- 3.
4.
Be able to apply the various probability concepts to simple situations such
as the tossing of coins, dealing of cards, throwing of dice... etc.
State and explain the two basic properties of probability.
Define the term "mutually exclusive" events.
Calculate the probability of a given set of compound conditions.
EXPLAIN AND APPLY THE CONCEPT OF CONDITIONAL PROBABILITY TO
VARIOUS PROBLEM SITUATIONS
1.
2.
Explain and apply the concept of Independent events to the solution of
conditional probability problems.
Explain and apply the concept of multiplication rule for solving problems
dealing with conditional probability.
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IEXPLAIN AND APPLy THE CONCEPT OF PROBABILITY DISTRIBUTIONS
1.
2.
3.
Define and utilize the concept of "probability function."
Explain and be able to solve problems utilizing the idea of a binomial
probability distribution.
Explain and be able to use the mean and standard deviation of a binomial
distribution in problem solving.
EXPLAIN AND APPLY THE CONCEPT OF NORMAL PROBABILITY
DISTRIBUTIONS TO PROBLEM SOLVING
1.
2.
3.
Explain and give examples of a Normal probability distribution.
Incorporate the "standard score" in problem solving.
Explain and utilize the "z notation" in relevant problem solving.
EXPLAIN AND APPLY THE CONCEPT OF SAMPLE VARIABILITY AND THE
CENTRAL LIMIT THEOREM
1.
2.
Define and describe where the Central Limit Theorem may be used in
analyzing data.
Explain and utilize the Central Limit Theorerp in problem solving.
UNDERSTAND AND APPLY THE PROCESS OF HYPOTHESIS TESTING
I CORRECTLY TO A GIVEN SITUATION
1.
2.
3.
Describe the meaning and significance of inferential statistics and
hypothesis testing.
"
Explain what a "null" hypothesis is and where they are used in statistics.
List and describe the classical types of "errors" in statistical research
methods.
EXPLAIN AND BE ABLE TO APPLY THE VARIOUS INFERENCES INVOLVING
ONE POPULATION.
1.
2.
Describe the Student's distribution and its relevance to statistical studies.
Show how the concept of binomial probability can be utilized in studying
probability of success.
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EXPLAIN, UTILIZE, AND INTERPRET THE T-TEST TO COMPARE TWO SETS OF
DATA
1.
2.
3.
Describe the difference between independent and dependent samples.
Discuss how the means of two groups might correctly be compared.
Utilize the t-test to determine whether or not there is a significant
difference between two groups being considered.
This syllabus is subject to revision with prior notification to the student by
the instructor.