Urbana University
High School Dual Enrollment Program
Spring 2014
Course Syllabus
Abbreviated Course Title: MAT 226
Course Title: Elementary Mathematical Statistics
Credit Hours: 3 semester hours
Prerequisites: MAT 106 or equivalent
Textbook: n/a
Supplemental Materials: Scientific calculator required (graphing calculator preferred, TI-84 or higher), Internet
access
Location: Tippecanoe High School, Room 125
Time: 50 minutes daily, Monday through Friday
Instructor Contact Information
Instructor: Annette Malott
Office: Room 125
Phone: 937-667-8448
E-mail: amalott@tippcity.k12.oh.us
Office Hours: 2:45-4:00 Tuesday and Thursday, or other hours by appointment
Course Description: An introduction to descriptive and inferential statistics, probability theory and
applications in the social and natural sciences. Basic probability (Addition Properties, Multiplication
Properties, conditional probability, independent events, random variables and their probability
distributions) is covered as needed for inferential statistics.
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Urbana University
High School Dual Enrollment Program
Dual Enrollment Program Outcomes:
Through the Dual Enrollment Program students build skills to:
1. Earn college credit while still in high school.
2. Introduce students to the rigors of college-level courses.
3. Develop critical thinking skills that will be applicable in numerous college courses.
Instructional Objectives:
Upon completion of this course the student should achieve the following learning outcome goals:
1. Understanding of the concept of a random sample selected from a population.
2. The ability to construct a grouped or ungrouped distribution for a set of data.
3. Understanding of the differences in data types (qualitative verses quantitative, discrete versus continuous) and the
four primary levels of measurement of data.
4. The ability to solve compute various parameters/statistics for a set of numerical data-especially the mean,
standard deviation
5. Understanding of bivariate data, and the parameters for measuring linear correlation between variables.
6. Understanding of the difference between (linear) correlation and causality in bivariate data, and the importance
of hidden variables.
7. Understanding of the coefficient of variation.
8. Understanding of the use of continuous functions as models for the discrete data distributions.
9. Knowledge of significance of the normal distribution, and its relevant properties.
10. Understanding of the z-score of a data value within a distribution, and the ability to convert between a data value
and its z-score.
11. Understanding and knowledge of Chebyshev’s Theorem and the Empirical Rule, and the ability to apply them to
relevant problems involving distributions.
12. Understanding of the relationship between a random variable and its probability distribution on one hand, and a
set of data and its relative frequency distribution on the other.
13. The ability to compute probabilities of simple events in probability experiments, and to compute the probability
distribution for a random variable.
14. Understanding of the binomial distribution, and its relationship to the normal distribution.
15. Understanding of the Central Limit Theorem, and the ability to apply it to problems involving estimating the mean
of a population from a random sample.
16. The ability to state the relevant properties of the distribution of sample means, and to apply them in computing a
confidence interval estimate for a population mean.
17. Understanding of a proficiency in the basic methods of point interval estimation of a population mean and
proportion.
18. Understanding of hypothesis testing, and the ability to test a hypothesis based on a random sample, and a level of
significance.
19. Understand the level of significance in a hypothesis test, and the difference between type I and type II errors.
20. The ability to apply the binomial distribution to population proportion estimates, and to compute a confidence
interval from this for a population proportion.
21. The ability to apply the student t-distribution in constructing a confidence interval for a population mean.
Assessment:
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Assessment of student understanding will be made through homework assignments (worksheets and online
assignments), quizzes, tests, and a semester exam. Homework will be assigned daily. Tests and quizzes are
detailed below under the Course Outline. Grades will be awarded on a point system.
It is expected that all assignments and tests/examinations will be completed as scheduled unless there are clearly
extenuating circumstances.
Urbana University
High School Dual Enrollment Program
Student Evaluation Criteria:
The grading scale is A 90-100%, B 80-89%, C 70-79%, D 60-69%, F < 60%.
Course Outline:
1. Introduction to Statistics:
a. Data classification
b. Data collection
c. Experimental design
Test 1a-c
2. Descriptive Statistics:
a. Frequency distributions
b. Graphs
Quiz 2a-b
c. Measures of Central Tendency
d. Measures of Variation
e. Measures of Position
Test 2a-e
3. Probability:
a. Basic concepts
b. Conditional Probability and Multiplication Rule
Quiz 3a-b
c. Addition Rule
d. Permutations and Combinations
Test 3a-d
Test 1-3
4. Discrete Probability Distributions:
a. Probability Distributions
b. Binomial Distributions
c. Geometric and Poisson Distributions
Test 4a-c
5. Normal Probability Distributions:
a. Introduction to Normal Distributions and the Standard Normal Distribution
b. Using Normal Distributions for finding Probabilities and Values
Quiz 5a-b
c. Sampling Distributions and the Central Limit Theorem
d. Normal Approximations to Binomial Distributions
Test 5a-d
Test 4-5
6. Confidence Intervals:
a. Confident intervals for the Mean – Large and Small Samples
b. Confidence intervals for Population Proportions
c. Confidence intervals for Variance and Standard Deviation
Test 6a-c
7. Hypothesis Testing with One Sample:
a. Introduction to Hypothesis Testing
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Urbana University
High School Dual Enrollment Program
b. Hypothesis Testing for the Mean (large samples)
c. Hypothesis Testing for the Mean (small samples)
Quiz 7a-c
d. Hypothesis Testing for Proportions
e. Hypothesis Testing for Variance and Standard Deviation
Test 7a-e
Final Exam
Note: This is a tentative schedule and subject to change as the need arises. Adjustments and additional assignments may
be made based on class progress. Students requiring accommodations for taking notes or tests should make arrangements
to discuss their needs with the instructor after the 1st or 2nd class. Students are responsible for reading this syllabus,
following instructions, and asking questions for which he or she needs additional information or clarification.
Alternative/Special Needs Accommodations:

Accommodations will be made according to student IEPs / 504 plans.
Technology:
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Scientific Calculator is required for this course (graphing calculator, TI-85 or higher, is preferred)
Internet Access is required for this course.
Behavior Expectations:
Mature, respectful, adult behavior is expected in the classroom at all times.
Examples of unacceptable behavior would include outburst in class, talking during class, disrespectful remarks or actions to
fellow students, faculty, or staff; or any other behaviors deemed inappropriate for the intended situation. Should this
occur, incident reports will be filed. Campus security may be called if deemed necessary.
Class Attendance:
Attendance per Tipp City Schools Policy, as detailed in the Student Handbook. Students are responsible for making up all
missed work per Tipp City Schools Policy, with exceptions made in extreme circumstances. Class lecture and discussions are
critical components to learning the course material and absences should be kept to a minimum.
Class Participation:
It is expected that you will participate actively in all class sessions in a manner that shows prior preparation through
readings and other assignments.
Academic Integrity:
Candidates are expected to turn in original work. Plagiarism, in any form, will result in an “F” in this course. Please read
“Academic Misconduct” in the Urbana University catalog.
Use of College Level Writing & Speaking Skills:
Candidates are expected to use college level writing skills in all typed and hand written assignments. Candidates are
expected to use Standard English when speaking.
Educational Support Services for Students:
Tippecanoe High School offers access to a computer lab in the Media Center during regular school hours. Some textbooks
are available for use in Room 125, and arrangements may be made with Mrs. Malott to check out these books for home
use. Free tutoring services are available for all Urbana University students by contacting the Student Success Center at
937-484-1418.
Electronic Devices [cell phones, pagers, iPods, MP3 players, palm pilots, headphones, gaming, & etc.] :
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Urbana University
High School Dual Enrollment Program
Cell Phones must be turned off while class is in session. Electronic devices shall be used in accordance to Tipp City Schools
Policy.
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