MAT 203 Basic Statistics (with Probability)
Prerequisite: MAT104
3 Credit Hours (Lecture)
Department:
Mathematics
Course Description:
This course is an introductory study of the fundamentals of modern statistics and probability.
The course will cover descriptive methods, inductive statistics, probability, estimation, tests of
hypotheses, correlation, regression, Chi-square and F distributions, along with other topics as
time allows.
Course Competencies:
The learning outcomes and competencies detailed in this syllabus meet or exceed the learning
outcomes and competencies specified by the Kansas Core Outcomes Groups for this course as
approved by the Kansas Board of Regents. (Kansas Regents Shared Number Course and Title:
KRSN Course MAT 1020 Elementary Statistics.)
Syllabus
Upon completion of the course, the student should be able to:
1. Use the normal distribution to solve percent problems for normally distributed populations.
2. Use the normal distribution to solve probability problems for normally distributed random
variables.
3. Use the normal distribution to approximate binomial probabilities.
4. Calculate the mean for a distribution of sample means.
5. Calculate the standard deviation for a distribution of sample means.
6. Perform a normal probability plot and describe the shape of the population distribution
based on the plot.
7. Analyze the Central Limit Theorem.
8. Construct a confidence interval for a population mean with known population standard
deviation and explain the meaning in terms of the problem.
9. Construct a confidence interval for a population mean with unknown population standard
deviation; explain the meaning in terms of the problem.
10. Construct confidence intervals for the difference of two means.
11. Construct a confidence interval for a population proportion or difference of two population
proportions; explain the meaning in terms of the problem
12. Perform a hypothesis test for a sample mean with known population standard deviation.
13. Perform a hypothesis test for a sample mean with unknown population standard deviation.
14. Perform a hypothesis test for a sample proportion or the difference of two sample
proportions.
15. Perform a t-test for paired data.
16. Explain Type I error, Type II error, and significance level in context with problems being
studied.
Revision Date: 04/03/2014 Page 1 of 3
MAT 203 Basic Statistics (with Probability)
Prerequisite: MAT104
3 Credit Hours (Lecture)
17. Calculate the P-value of a hypothesis test and explain the meaning in terms of the statistical
problem.
18. Utilize the Chi-squared table to perform tests for goodness-of-fit, homogeneity, and
independence in contingency tables.
19. Use linear regression to make predictions when presented with linear data.
20. Create a scatter plot and calculate a correlation coefficient for bivariate data.
21. Construct a linear regression equation and explain the meaning in terms of the problem.
22. Use a linear regression equation to make predictions about data.
23. Calculate the coefficient of determination for a linear regression equation and use the
coefficient of determination to determine the strength of the regression equation.
24. Construct confidence intervals for the mean, proportion, and the regression parameter.
25. Construct a prediction interval for the means of sample data.
26. Perform hypothesis tests for the mean, a proportion, and paired differences.
27. Use effective writing skills for essay questions on exams and quizzes or in journals
responding to questions about course content and direction of online quiz activities
administered through the use of an online-medium, if available.
Course Content:
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
Chapter 1: Getting Started
Chapter 2: Organizing Data
Chapter 3: Averages and Variation
Chapter 4: Elementary Probability Theory
Chapter 5: The Binomial Probability Distribution and Related Topics
Chapter 6: Normal Distributions
Chapter 7: Introduction to Sampling Distributions
Chapter 8: Estimation
Chapter 9: Hypothesis Testing
Chapter 10: Correlation and Regression
Chapter 11: Chi-Square and F Distributions
Syllabus
Learning Assessments:
Course competencies will be assessed by written examinations covering all course material,
including regular hour-long exams and a required comprehensive final exam. Additionally,
assessment may also occur through any of the following at the discretion of the instructor:
regular collection of homework, in-class work, quizzes, and various projects.
Instructional Materials:
Understandable Statistics, Brase, Brase, 9th Ed., Houghton Mifflin, 2009.
ISBN-13: 978-0-618-94992-2
ISBN-10: 0-618-94992-5
Graphing calculator (required)
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MAT 203 Basic Statistics (with Probability)
Prerequisite: MAT104
3 Credit Hours (Lecture)
Guidelines for Requesting Accommodations Based on
Documented Disability or Medical Condition
It is the intention of Highland Community College to work toward full compliance with the Americans with Disabilities Act, to
make instructional programs accessible to all people, and to provide reasonable accommodations according to the law.
Students should understand that it is their responsibility to self-identify their need(s) for accommodation and that they must
provide current, comprehensive diagnosis of a specific disability or medical condition from a qualified professional in order to
receive services. Documentation must include specific recommendations for accommodation(s). Documentation should be
provided in a timely manner prior to or early in the semester so that the requested accommodation can be considered and, if
warranted, arranged.
In order to begin the process all students must complete the “Disabilities Self-Identification Form” at this link:
https://highlandcc.edu/pages/disability-services.
This form can also be accessed at the Highland Community College homepage under Students Services/Student
Resources/Disability Service or by contacting the Disabilities Coordinator.
A Note on Harassment, Discrimination and Sexual Misconduct
Highland Community College seeks to assure all community members learn and work in a welcoming and inclusive
environment. Title VII, Title IX, and College policy prohibit harassment, discrimination and sexual misconduct. Highland
Community College encourages anyone experiencing harassment, discrimination or sexual misconduct to talk to report to the
Vice President for Student Services, the Human Resources Director or complete an online report
https://cm.maxient.com/reportingform.php?HighlandCCKS&layout_id=1 about what happened so that they can get the
support they need and Highland Community College can respond appropriately.
Syllabus
There are both confidential and non-confidential resources and reporting options available to you. Highland Community College
is legally obligated to respond to reports of sexual misconduct, and therefore we cannot guarantee the confidentiality of a
report, unless made to a confidential resource. Responses may vary from support services to formal investigations. As a faculty
member, I am required to report incidents of sexual misconduct and thus cannot guarantee confidentiality. I must provide our
Title IX coordinator with relevant details such as the names of those involved in the incident. For more information about
policies and resources or reporting options, please visit the following website:
https://highlandcc.edu/caffeine/uploads/files/Approved%20Equity%20Grievance%20Policy.pdf.
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