Download MTH 213 Statistics

Diné College
MATH 213 STATISTICS: Course Syllabus
INSTRUCTOR:
EMAIL:
OFFICE PHONE
NUMBER
OFFICE
LOCATION
Mark Bauer
[email protected]
505-368-3589
SEMESTER Spring 2015
FAX:
505-368-3591
Room 138A, Shiprock North
Campus – Access through Rm. 136
OFFICE
HOURS
10:00 AM – 6:30 PM M-F, or
by appointment or walk-in any
time
Online Course Website: www.mathxl.com
CLASS MEETING TIMES AND LOCATION:
5:00 p.m. – 7:00 p.m., Tuesday, Thursday Room 131
COURSE TITLE, NUMBER, AND CREDITS:
MTH 213 Statistics (4 credits)
PRE-REQUISITES (if any):
Minimum grade of “C” in Math 110, College Algebra, or Math 114 College Mathematics or instructor’s
permission.
COURSE DESCRIPTIONS:
Representation of data, measures of central tendency, standard deviation, sampling, the normal, chi-square,
student's T and F distributions, and regression and correlation. Basic concepts of experimental design and
statistical analysis involved in quantitative research. (4 credits – 4 contact hours)
COURSE CONTENT:
Jan. 13, 15
Jan. 20, 22
Jan. 27, 29, Feb. 3
Feb. 5, 10, 12
Feb. 17, 19, 24
Feb. 26, Mar. 3
Chap. 1:
Chap. 2:
Chap. 3:
Chap. 4:
Chap. 5:
Chap. 6:
Intro. to Statistics
Summarizing and Graphing Data
Statistics for Describing, Exploring and Comparing Data
Probability
Discrete Probability Distributions
Normal Probability Distributions
Mar. 5
MIDTERM EXAM
Mar. 9-13
SPRING BREAK
Mar. 17, 19, 24
Mar. 26, 28
Apr. 2, 7, 9
Apr. 14, 16, 21
Apr. 23, 28, 30
Chap. 7: Estimates & Sample Sizes
Chap. 8: Hypothesis Testing
Chap. 9: Inferences from Two Samples
Chap. 10: Correlation and Regression
Chap. 11: Multinomial Experiments & Contingency Tables
May 5
FORM APPROVED: SEPTEMBER 1992
FINAL EXAMS
Diné College
MATH 213 STATISTICS: Course Syllabus
COURSE GOALS TO AS RELATED TO Sa’ah Naagháí Bik’eh Hózhóón:
This course will integrate Diné holistic teaching in accordance with this pedagogical paradign: Nitsáhákees,
Nahat’á, Iiná, and Siih Hasin, which are processes found in all aspects of nature. Students will understand the self
through the teachings of Naayée’eek’ehgo Na’nitin (protection-way teachings) and Hózh==jík’ehgo Na’nitin
(blessing-way teachings).
This course will integrate Dine teachings according to the paradigm and natural processes of the Dine philosophy
of education: Nits'áhákees, Nahat'á, Iiná, Sihasin using both the protection way and blessing way teachings.
Specifically, students will gain an understanding and appreciation of problem solving as a learning process, and
how applying statistics in the real world can be done using this traditional Navajo thinking process.
Statistics will provide students with the conceptual and mathematical tools necessary to test scientific hypotheses
or make valid decisions or conclusions in medical, business or economic situations. This allows researchers and
decision-makers to calculate just how sure they are of their answers, using probability theory.
SPECIFIC OBJECTIVES FOR STUDENTS:
The students should learn that the mathematical knowledge taught in this course can be used to solve many
problems that they will encounter as they continue to lead lives that involve dealings with financial institutions,
construction projects, business decisions, healthcare decisions and other projects undertaken to protect from
danger or to increase prosperity.
Students will also be shown how mathematics is a language used by scientists and other scholars to express the
regularities of nature and to further understand the universe in which we live. As such, it is a system of symbols
that follow certain rules and is highly ordered. Once the basic principles are learned, it is a system of great power
to be used and appreciated by the student.
In very practical terms, in this statistics course, students should learn:

to summarize data sets meaningfully in terms of central tendencies and dispersion

to generate graphical representations of distributions in data sets

to enter data sets into calculators and computers for statistical analysis

to understand basic probability theory and how it can be used in inferential statistics to determine the
strength of different generalizations from samples to populations of interest

to choose appropriate statistical techniques for different types of data and to answer different sorts of
questions

to follow an orderly process to generate null and alternate hypotheses, apply appropriate statistical
techniques (student’s t, correlation coefficients, regression equations, and chi-square statistics), state
conclusions with probability values, and interpret the results.
Note: this course meets the New Mexico Common Core Competencies for an introductory
statistics course (Area II Mathematics), and is transferable as such to institutions within New
Mexico to satisfy general education requirements.
REQUIRED TEXT AND MATERIALS:
Essential Statistics, by Mario F. Triola, Pearson/Addison-Wesley Publishing Co., Fifth Edition.
FORM APPROVED: SEPTEMBER 1992
Diné College
MATH 213 STATISTICS: Course Syllabus
LIBRARY RESERVED MATERIALS: None
SUPPLEMENTARY MATERIALS:
Student Solutions Manual: Essentials of Statistics, Third Edition, by Milton Loyer, Pearson/Addison-Wesley
Publishing Co.
Access to MathXL and Free Online Tutoring: Some homework assignments are required to be done online.
COURSE REQUIREMENTS:
Attendance: Regular attendance is the best predictor of good grades in the course. Those who come to class
always do better than those who do not. Be responsible for lecture materials.
Homework: Homework assignments in math are like regular exercise in sports: you cannot perform your best
without it! Even if you feel you understand how to do the problems, the homework assignment will help you to
become quicker and more sure of yourself. Then you will do better on the tests. Turn in homework on time.
Some homework will be required to be done online using MathXL
Quizzes: There will be a quiz about every week or two.
Midterm and Final Exam: The Midterm Exam will be given as specified in the Spring Schedule in the Catalog.
The final exam will be given during the time announced by the Dean's Office for this class, and will be
cumulative (include problems from all chapters covered in the class).
Final Project: A final paper is required in which the student explores the relations among a small set of variables
using a statistical package on the computer. See attached description of Final Project. The Project may be
presented to the class during the final week. (See below for Project description.)
Notify the instructor if you will be unavoidably absent for an important test.
EVALUATION AND ASSESSMENT:
Your Final Grade will be calculated as follows:
Quiz Average
Homework
Midterm Exam
Final Exam
Final Project
FORM APPROVED: SEPTEMBER 1992
15%
20%
20%
20%
25%
Diné College
MATH 213 STATISTICS: Course Syllabus
GRADING CRITERIA:
The letter grade will be assigned as follows:
90
80
70
60
Below 60%
100%
89%
79%
69%
A
B
C
D
F
I - Incomplete is given if for some excusable reason one or two tests have been missed. You will have one
semester in which to complete the work for a grade. If after that item you have not completed the work, your
grade will be an F.
Be responsible for your own paperwork! If you decide to DROP this class, process the forms through the Records
Office. If you disappear without notifying anyone, an "F" grade will be placed on your permanent transcript.
FORM APPROVED: SEPTEMBER 1992
Diné College
MATH 213 STATISTICS: Course Syllabus
PROJECT
Analysis of a set of variables from data you have collected or from one of the survey databases available. Choose a set of
3-5 variables and do the analysis and description outlined for each below.
Part I
Descriptive Statistics
For each variable you have selected, provide the following information:
- Describe Variable-type, coding
- Center
- Spread
- Shape
- Provide appropriate graphs (histograms, bar chart)
[Repeat for each variable]
Part II
Inferential Statistics
Choose pairs of variables to use with the following procedures:
A. Difference of Means
Choose one binomial variable to use to create two subgroups. Then test to determine whether the
means of the two groups differ significantly on the second variable (quantitative).
- Null Hypothesis
- Alternative Hypothesis
- Rejection Region
- Conclusion
B. Regression/Correlation
Choose two quantitative variables to correlate.
- Scatter Diagram, Regression Equation, Strength of Correlation
- Null Hypothesis
- Alternative Hypothesis
- Rejection Region
- Conclusion
C. Cross-Classification (contingency) Tables
- Null Hypothesis
- Alternate Hypothesis
- Test Statistic - Chi-Square
- Frequency Tables
- Interpretations of Results
FORM APPROVED: SEPTEMBER 1992