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INSTRUCTIONAL PACKAGE
MAT 120
Probability and Statistics
Effective Term
2016-2017 Academic Year
INSTRUCTIONAL PACKAGE
PART I: COURSE INFORMATION
Effective Term: 2016-2017 Academic Year
COURSE PREFIX: MAT 120
COURSE TITLE: Probability and Statistics
CONTACT HOURS: 3.0
CREDIT HOURS: 3.0
RATIONALE FOR THE COURSE:
The course is designed to provide the student with the fundamental concepts of probability and
statistics, which influences nearly all facets of our society. It should help the student by
developing the ability to critically analyze statistical claims and to make decisions in
government, education, business, sports, politics and many other fields.
COURSE DESCRIPTION:
This university parallel transfer course includes the following topics: introductory probability
and statistics, including organization of data, sample space concepts, random variables,
counting problems, binomial and normal distributions, central limit theorem, confidence
intervals, and test hypothesis for large and small samples; types I and II errors; linear
regression; and correlation. This course is transferable to public senior institutions as part of
the South Carolina Commission on Higher Education Statewide Articulation Agreement.
PREREQUISITES/CO-REQUISITES:
MAT 101 or MAT 110 (earned grade of “C” or better); or COMPASS score of 46 or better in
Algebra; or SAT score of 480 or better in Algebra; or ACT score of 21 – 24; or ACCUPLACER
score of 76 or better in Algebra.
REQUIRED MATERIALS:
1. Please visit the Bookstore online site for most current textbook information. Use the direct
link below to find textbooks.
http://hortec.bncollege.com/webapp/wcs/stores/servlet/TBWizardView?catalogId=10001&lan
gId=-1&storeId=51560.
Enter the semester, course prefix, number and section when prompted and you will be linked
to the correct textbook.
2. Scientific calculator with statistics functions.
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ADDITIONAL RESOURCES:
1.
Solution manual on closed reserve in all campus libraries.
2.
Tutoring is available through the Student Success and Tutoring Center.
ENTRY LEVEL COMPETENCIES:
The student should enter MAT 120 with knowledge of algebraic variables, algebraic operations
and formula manipulation, in addition to competence in arithmetic operations.
TECHNICAL REQUIREMENTS:
Access to Desire2Learn (D2L), HGTC’s student portal for course materials.
WaveNet and D2L email access.
PART II: STUDENT LEARNING OUTCOMES AND COURSE TOPICS BY UNIT/SECTION
COURSE LEARNING OUTCOMES and ASSESSMENTS*:
The student should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Distinguish between a population and sample; a parameter and statistic
Determine the best method of collecting data
Construct and interpret a frequency distribution and other graphs
Find measures of central tendency, variation and position
Determine the probability that an event will occur
Use Counting Principles to find probabilities
Create and interpret probability and binomial distributions
Recognize normal distributions and apply their properties in real-life applications
Use the Central Limit Theorem to find the probability of a sample mean
Calculate confidence intervals
Use Hypothesis Testing to test a claim about a population parameter by use of sample
statistics
12. Find the correlation coefficient to measure the strength of a linear correlation
13. Find the equation of a regression line and use it to predict y values
UNIT I:
A.
Introduction to Statistics
1.1
1.2
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An overview of Statistics
1.1.1 Definition of Statistics
1.1.2 Distinguish between a population and a sample
1.1.3 Distinguish between a parameter and a statistic
1.1.4 Distinguish between descriptive and inferential statistics
Data Classification
1.2.1 Distinguish between qualitative and quantitative data
1.2.2 Classify data with respect to the four levels of measurement: nominal, ordinal,
interval, and ratio
1.3
Experimental Design
1.3.1 How to design a statistical study
1.3.2 How to collect data by
1.3.2.1 Performing an experiment
1.3.2.2 Using a simulation
1.3.2.3 Taking a census
1.3.2.4 Using a sampling
1.3.3 How to create a sample using
1.3.3.1 random sampling
1.3.3.2 stratified sampling
1.3.3.3 cluster sampling
1.3.3.4 systematic sampling
1.3.4 Identify a biased sample
Text Reference: Chapter One 3 hours
B.
Descriptive Statistics
2.1
2.2
2.3
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Frequency Distributions and Their Graphs
2.1.1 Construct a frequency distribution
2.1.2 Construct a frequency histogram
2.1.3 Construct a frequency polygon
2.1.4 Construct a relative frequency histogram
2.1.5 Construct an ogive
More Graphs and Displays
2.2.1 Graph quantitative data using
2.2.1.1 Stem-and-leaf plots
2.2.1.2 Dot plots
2.2.2 Graph qualitative data using
2.2.2.1 Pie charts
2.2.2.2 Pareto charts
2.2.3 Graph paired data sets using
2.2.3.1 Scatter plots
2.2.3.2 Time series charts
Measures of Central Tendency
2.3.1 Find mean, median, and mode of a population and a sample
2.3.2 Find a weighted mean
2.3.3 Describe the shape of a distribution as
2.3.3.1 Symmetric
2.3.3.2 Uniform
2.3.3.3 Skewed
2.4
Measures of Variation
2.4.1 Find the range of a data set
2.4.2 Find the variance and standard deviation of a population and a sample
2.4.3 Use the Empirical Rule (and Chebychev’s Theorem) to interpret standard
deviation
2.5
Measures of Position
2.5.1 Find the first second and third quartiles of a data set
2.5.2 Find the interquartile range of a data set
2.5.3 Represent a data set graphically using a box-and-whisker plot
2.5.4 Interpret percentiles
2.5.5 Calculate standard score (z-score)
2.5.6 Interpret standard score (z-score)
5.1.1 Find a value when its z-score is given
Text Reference: Chapter Two 6 hours
UNIT II:
A.
Probability
3.1
3.2
3.3
3.4
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Basic Concepts of Probability
3.1.1 Identify the sample space of a probability experiment
3.1.2 Use the Fundamental Counting Principle to find the number of ways two or
more events can occur
3.1.3 Identify the simple events in a sample space
3.1.4 Distinguish among classical, empirical, and subjective probability
3.1.5 Find the probability of the complement of an event
3.1.6 Identify and use properties of probability
Conditional Probability and the Multiplication Rule
3.2.1 Find the probability of an event given that another event has occurred
3.2.2 Distinguish between independent and dependent events
3.2.3 Use the multiplication rule to find the probability of two events occurring in
sequence
The Addition Rule
3.3.1 Determine if two events are mutually exclusive
3.3.2 Use the addition rule to find the probability of two events
Additional Topics in Probability and Counting
3.4.1 Find the number of ways a group of objects can be arranged in order
3.4.2 Find the number of ways to choose several objects from a group without regard
to order
3.4.3 Use counting principles to find probabilities
Text Reference: Chapter Three 6 hours
B.
Discrete Probability Distributions
4.1
4.2
Probability Distributions
4.1.1 Distinguish between discrete and continuous random variables
4.1.2 Construct a discrete probability distribution and its graph
4.1.3 Determine if a distribution is a probability distribution
4.1.4 Find the mean, variance, and standard deviation of a discrete probability
distribution
4.1.5 Find the expected value of a probability distribution
Binomial Distributions
4.2.1 Determine if a probability experiment is a binomial experiment
4.2.2 Find binomial probabilities
4.2.3 Construct a binomial distribution and its graph
4.2.4 Find the mean, variance, and standard deviation of a binomial probability
distribution
Text Reference: Chapter Four 3 hours
C. Normal Probability Distributions
5.1 Introduction to Normal Distributions and The Standard Normal Distribution
5.1.2 Interpret graphs of normal probability distributions
5.1.3 Estimate areas under the normal curve
5.1.4 Use areas under the normal curve to find probabilities for random variables
with normal distributions
5.1.5 Find areas under the standard normal curve
5.1.5.1 Using the Standard Normal Table
5.1.5.2 Using Excel
5.2 Normal Distributions: Finding Probabilities
5.2.1 Find probabilities for normally distributed variables
5.3 Normal Distributions: Finding Values
5.3.1 Find the z-score given the area under the normal curve
5.3.2 Convert a z-score to an x-value
5.3.3 Find a specific data value of a normal distribution given the probability
5.4 The Central Limit Theorem
5.4.1 Find sampling distributions and verify their properties
5.4.2 Interpret the Central Limit Theorem
5.4.3 Apply the Central Limit Theorem to find the probability of a sample mean
Text Reference: Chapter Five 3 hours
UNIT III:
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A. Confidence Intervals
6.1
6.2
6.3
Confidence Intervals for the Mean (large samples)
6.1.1 Find a point estimate
6.1.2 Find the maximum error of measurement
6.1.3 Construct and interpret confidence intervals
6.1.4 Determine the required minimum sample size when estimating 
Confidence Intervals for the Mean (small samples)
6.2.1 Interpret the t-distribution
6.2.2 Use a t-distribution table
6.2.3 Construct a confidence interval when n < 30
Confidence Intervals for Population Proportions
6.3.1 Find a sample proportion
6.3.2 Construct a confidence interval for a population proportion
6.3.3 Construct a confidence interval
6.3.4 Determine the required minimum sample size when estimating 
Text Reference: Chapter Six
B.
Hypothesis Testing with One Sample
7.1
7.2
7.3
7.4
Introduction to Hypothesis Testing
7.1.1 Design a hypothesis test
7.1.2 State the null and alternative hypothesis
7.1.3 Distinguish between Type I and Type II errors
7.1.4 Interpret the level of significance
7.1.5 Determine whether to use a one- or two-tailed statistical test
7.1.6 Make a decision based on the results of a statistical test
7.1.7 Write a claim for a hypothesis test
Hypothesis Testing for the Mean (n  30)
7.2.1 Find the critical values in a normal distribution
7.2.2 Use rejection regions (z-test) to test a mean, 
7.2.3 Find P-values
7.2.4 Use P-values to test a mean, 
Hypothesis Testing for the Mean (n < 30)
7.3.1 Find the critical values in a t-distribution
7.3.2 Use the t-test to test a mean, 
7.3.3 Use P-values to test a mean, 
Hypothesis Testing for Proportions
7.4.1 Use the z-test to test a population proportion, 
Text Reference: Chapter Seven
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3 hours
6 hours
C.
Linear Regression and Correlation
9.1
9.2
9.3
Correlation
9.1.1 Define
9.1.1.1 Linear correlation
9.1.1.2 Independent variable
9.1.1.3 Dependent variable
9.1.2 Identify the type of correlation displayed by a scatter plot
9.1.3 Find a correlation coefficient
9.1.4 Perform a hypothesis test for a population correlation coefficient
Linear Regression
9.2.1 Find the equation of a regression line
9.2.2 Predict y values using a regression equation
Measures of regression and Prediction Intervals
9.3.1 Interpret the three types of variation about a regression line
9.3.2 Find the coefficient of determination
9.3.3 Interpret the coefficient of determination
9.3.4 Find the standard error of estimate for a regression line
9.3.5 Interpret the standard error of estimate for a regression line
9.3.6 Construct a prediction interval for y
9.3.7 Interpret a prediction interval for y
Text Reference: Chapter Nine 6 hours
*Students – please refer to the Instructor’s Course Information sheet for specific information
on assessments and due dates.
PART III: GRADING AND ASSESSMENT
EVALUATION OF REQUIRED COURSE MEASURES/ARTIFACTS*
*Students, for the specific number and type of evaluations, please refer to the Instructor’s
Course Information Sheet.
GRADING SYSTEM:
A 90-100%
B 80-89%
C 70-79%
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D 60-69%
F Below 60%
Grades earned in courses impact academic progression and financial aid status. Before withdrawing
from a course, be sure to talk with your instructor and financial aid counselor about the implications of
that course of action. Ds, Fs, Ws, WFs and Is also negatively impact academic progression and financial
aid status.
The Add/Drop Period is the first 5 days of the semester for full term classes. Add/Drop periods are
shorter for accelerated format courses. Please refer to the academic calendar for deadlines for
add/drop (http://www.hgtc.edu/academics/academiccalendars.html). You must attend at least one
meeting of all of your classes during that period. If you do not, you will be dropped from the course(s)
and your Financial Aid will be reduced accordingly.
PART IV: ATTENDANCE AND CLASSROOM ETIQUETTE
Horry-Georgetown Technical College maintains a general attendance policy requiring students to be
present for a minimum of eighty percent (80%) of his or her classes in order to be eligible to receive
credit for any course. However, due to the varied nature of courses taught at the College, a more rigid
attendance policy may be required by individual instructors. At a minimum, a student may be
withdrawn from a course(s) after he or she has been absent in excess of ten percent (10%) of the total
contact hours for a course. Instructors define absentee limits for their class at the beginning of each
term; please refer to the Instructor Course Information Sheet.
For online and hybrid courses, check your Instructor’s Course Information Sheet for any required on-site
meeting times. Please note, instructors may require tests to be taken at approved testing sites, if you
use a testing center other than those provided by HGTC, the center may charge a fee for its services.
CLASSROOM ETIQUETTE:
As a matter of courtesy to other students and your professor, please turn off cell phones and other
communication/entertainment devices before class begins. If you are monitoring for an emergency,
please notify your professor prior to class and switch cell phone ringers to vibrate.
PART V: STUDENT RESOURCES
The Student Success and Tutoring Center (SSTC)
The SSTC offers to all students the following free resources:
1. Academic coaches for most subject areas, Writing Center Support, and college success skills.
2. On-line student success and academic support resources.
Visit the SSTC website: www.hgtc.edu/sstc and visit the student
services tab in your WaveNet account to schedule appointments
using TutorTrac. For more information, call: SSTC Conway, 349-7872;
SSTC Grand Strand, 477-2113; and SSTC Georgetown, 520-1455.
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Room locations and Live Chat is available on the SSTC website.
Student Information Center: WaveNet Central (WNC)
WNC offers to all students the following free resources:
1. Getting around HGTC: General information and guidance for enrollment!
2. Use the Online Resource Center (ORC) for COMPASS support, technology education, and online
tools.
3. Drop-in technology support or scheduled training in the Center or in
class.
4. In-person workshops, online tutorials and more services are available.
Visit the WNC website: www.hgtc.edu/wavenetcentral. Live Chat and Center
locations are posted on the website. Or please call one of the following locations:
WNC Conway, 349-5182; WNC Grand Strand, 477-2076; and WNC Georgetown,
520-1473.
Disability Services:
HGTC is committed to providing an accessible environment for students with disabilities. Inquiries may
be directed to Jocelyn Williams, Director of Student Development on the Conway Campus Jaime Davis,
Counselor/Advisor on the Georgetown Campus or Jim Ratliff, Counselor on the Grand Strand Campus.
These individuals will review documentation of the student’s disability and, in a confidential setting with
the student, develop an educational accommodation plan.
Note: It is the student’s responsibility to self-identify as needing accommodations and to provide
acceptable documentation. After a student has self-identified and submitted documentation of a
disability, accommodations may be determined, accepted, and provided.
Title IX Requirements
The South Carolina Technical College System does not discriminate on the basis of race, color, gender,
national or ethnic origin, age, religion, disability, marital status, veteran status, sexual orientation,
gender identity, or pregnancy in educational programs and activities as required by Title IX. As outlined
in the Violence Against Women Act, Horry Georgetown Technical College prohibits the offenses of
domestic violence, dating violence, sexual assault, and stalking. Students who believe he or she has
experienced or witnessed discrimination including sexual harassment, domestic violence, dating
violence, sexual assault or stalking are encouraged to report such incidents to the Title IX Coordinators:
Dr. Melissa Batten, AVP of Student Affairs
Building 1100, Room 107A, Conway Campus
843-349-5228
[email protected]
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Jacquelyne Barrett, AVP of Human Resources
Building 200, Room 212A, Conway Campus
843-349-5212
[email protected]
*Faculty and Staff are required to report incidents to the Title IX Coordinators when involving students.
The only HGTC employees exempt from mandatory reporting are licensed mental health professionals
(only as part of their job description such as counseling services).
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