Download Course Goals: After completing each chapter, you will be able to

Math 240 Elementary Statistics Syllabus
Spring 2015
Instructor: Jim Cass
Office hours: G203, 7 – 7:45 am M-F
Phone: 869-0661
E-mail: [email protected]
Required Materials:
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Text: Fundamentals of Statistics, 3/E, Michael Sullivan, III; Pearson/Prentice Hall, 2011; ISBN
0-321-64187-6
Graphing calculator with Stat options such like testing, confidence intervals, regression and
probability distributions (at least two: normal and binomial). TI-83/84 handouts are placed
on BB for your convenience, and detailed steps how to use them are given in lecture notes and
textbook.
Optional homework website: http://pearsonmylabandmastering.com/ contains on-line homework
assignments, quizzes, tutorials, examples, e-book and 24/7 help. This requires purchasing an Access
code from Pearson’s MyMathLab.
Our Course ID: TBD
Prerequisite: The student must achieve a satisfactory score on an appropriate placement examination or
successfully complete MTH 158 or MTH 163.
Course Description: The goal of this course is to give the student a basic knowledge of the
language and methods of statistics. The student will learn the basic techniques of statistical
analysis, including sampling from normally distributed populations, estimations, regression,
testing of hypothesis, and point and interval estimation methods. The emphasis of the course is
on the interpretation of the statistical results rather than mere computation. A secondary goal of
this course is for the student to use statistical computer software. Students are required to use a
calculator with statistical functions.
Course Goals: After completing each chapter, you will be able to :
I. Introduction to Statistics
1. To discuss the uses and abuses of statistics in our everyday lives.
2. To analyze the two major areas of statistics – descriptive statistics and statistical inference.
Descriptive statistics involves collecting data and tabulating it in a meaningful way.
Statistical inference involves using observations of a sample to estimate the properties of the
population
3. To distinguish between the entire collection (a population) and its subset
(a sample).
4. To identify the types of samplings such as random, simple random, systematic,
convenience, stratified, or cluster. To discuss the biases in sampling methods
5. To identify the difference between an observational study and an experiment.
II. Summarizing and Graphing Data
1. To summarize data with frequency tables and relative frequency tables.
2. To construct histograms, frequency polygons, dotplots, stem & leaf plots, bar graphs, pie
charts and scatter diagrams.
3. To analyze the shape of the distribution (symmetric, skewed, uniform, bell-shaped,
bimodal etc.), and the presence of the gaps and outliers.
III. Statistics for Describing, Exploring, and Comparing Data
1. To calculate the mean, median, mode, midrange, range, variance, standard deviation of a
set of data and draw conclusions based on the results of these computations.
2. To calculate the mean, variance and standard deviation from a frequency table using the
class marks.
4. To convert an x value to a z score. To use z-scores to compare relative standings
5. To apply the Empirical Rule to a set of normally distributed data.
6. To calculate the “Five Number Summary” and IQR
7. To construct a boxplot from the Five Number Summary, and use iyt to discuss the
distribution.
8. To investigate data sets in order to understand their important characteristics by using
EDA (Exploratory Data Analysis); the process of using statistical tools such as: graphs,
measures of center and variation.
IV. Probability
1. To define probability, an event, the outcomes, and sample space.
2. To apply the Law of Large Numbers.
3. To calculate probabilities by the Relative Frequency Approximation and by the Classical
Approach.
4. To calculate the number of possible outcomes of an experiment.
5. To identify events as mutually exclusive or not.
6. To identify events as independent or dependent.
7. To find conditional probability using a contingency table and by the formula
8. To apply the Addition Rule or the Multiplication Rule in probability.
9. To state the complement of an event “at least one” or “all”.
10. To apply the rules for complementary events.
11. To apply the rules for permutations and combinations (Optional)
V. Discrete Probability Distributions
1. To identify the random variable for each outcome of a procedure and to build a probability
distribution table.
2. To state the requirements for a Probability Distribution.
3. To distinguish between discrete and continuous random variables.
4. To calculate the mean (expected value), variance and standard deviation of a discrete
probability distribution.
6. To state the requirements for a Binomial Distributions
7. To find the binomial probability by using the appropriate table in the textbook. (optional)
8. To calculate the binomial probability from the binomial probability formula.
9. To calculate the mean, variance, and standard deviation for the binomial distribution.
10. To interpret the results as usual or unusual
VI. Normal Probability Distributions
1. To calculate probabilities using standard normal probability distribution.
2. To calculate probabilities using nonstandard normal probability distribution.
3. To find the percentiles for standard and nonstandard normal distribution when given the
probability/percent.
4. To understand a difference between distribution of single observations and sampling
distribution of sample statistics
5. To apply the Central Limit Theorem to calculate probabilities for sample means and
proportions.
6. To solve binomial probability problems by using the normal distribution as an
approximation to the binomial distribution (optional).
VII. Estimates and Sample Sizes
1. To calculate the point estimate of a population mean and proportion for a sample.
2. To interpret confidence intervals about a proportion or the mean.
3. To construct confidence interval about the mean for samples with known and unknown
population standard deviations
4. To calculate the confidence interval for a proportion.
5. To calculate the sample size required to estimate the proportion or the mean of a
population.
6. To calculate the margin of error for a confidence interval
7. To determine the appropriate distribution (z or t ).
8. To calculate the point estimate and margin of error from a confidence interval.
VIII. Hypothesis Testing
1. To state the claim, identify the null hypothesis and alternate hypothesis, and write them in
symbolic form.
2. To state the significance level and identify the critical value(s).
3 4. To state the conclusion of a hypothesis test in simple, nontechnical terms.
5. To apply hypothesis testing procedures/methods for a claim about the population mean
when population standard deviation is given and when it is unknown.
6. To apply hypothesis testing procedures/methods for a claim about a proportion.
7. To calculate the value of the test statistic, z or t.
IX. Inferences from Two Samples
1. To test hypotheses made about two population means: independent samples.
2. To evaluate whether the 2 samples are dependent or independent.
3. To draw inferences about 2 means using matched pairs.
4. To test hypotheses made about two population proportions.
X. Correlation and Regression
1. To determine whether there is a statistically significant linear relationship between two
variables.
2. To construct a scatter plot.
3. To calculate and interpret the correlation coefficient and coefficient of determination for
the data pairs
4. To determine if there is a significant linear correlation between two variables (using
Pearson’s Table).
5. To identify the common errors involving correlation.
6. To compute the regression equation when linear correlation exits
7. To use regression line to make predictions and know when making predictions is
reasonable.
Course meeting times: Monday through Friday, 7th period.
Homework: Homework problems for each section are assigned separately. Following the classroom
presentation of the topic, the student is expected to study the assigned material and to work the assigned
problems before coming to the next class. Some class time will be spent discussing the difficulties
encountered with the homework exercises. Although homework is not normally collected and graded, you
will not be successful in this course without doing the homework.
INSTRUCTIONAL METHODS: The course content will be taught primarily through a series of
lectures with ample class time being reserved for student questions and interaction. Classroom
participation is a vital part of the instructional process. Students are encouraged to ask questions in class
and demonstrate their ability to solve problems.
TESTING: Eight tests are scheduled as well as a mandatory, comprehensive final exam. The eight tests
will be divided between the two quarters. Quizzes will be given periodically as well. Quizzes will
normally cover two sections. All tests and quizzes will be announced with ample opportunity for
preparation.
GRADING POLICY: Grades are determined on a point system. Tests are worth 100 points, quizzes are
normally 20 points, pop quizzes are 5 or 10 points. Extra credit is available by attendance at Jefferson
Lab Science Series Lectures or the Air & Space Museum Sigma Series lectures. Each lecture is worth 10
points and students are limited to 10 points per quarter per class. The following grade average scale will
be used to determine your final grade.
Average
93 – 100 %
85 – 92 %
76 – 84 %
70 – 75 %
Below 70 %
Grade
A
B
C
D
F
Student responsibilities:
Students enrolled in this course should continually monitor their learning, evaluating their own efforts,
and actively seek help when needed in a timely manner. Students should participate, turn in assignments
on time, and adhere to the honor code of DBCS. To successfully complete MTH 240 you will need to
assume an active role in the learning process; asking questions, completing assignments, participating in
discussions.
Instructor Responsibilities:
It is the instructor’s responsibility to help students grow and learn. This means that the instructor will
provide clear instructions, answer questions about the assignments, identify additional resources if
necessary, provide review questions and study guides for assessments.
Additional help
In addition to my office hours, the College has provided more free help for students. Please visit the
College Math Center anytime they are open. http://www.tncc.edu/library/math_center.php
Hampton Campus - Wythe Hall, the library
Staff:
* Randall Stowe, Jr. - E-mail: [email protected], Phone: 757-825-2884
* Vickie Herzog - E-mail: [email protected], Phone: 757-825-2933
College Tutorial Center is located in Wythe Hall, room 253. If you feel you need some one-to-one
tutorial, register for free help from other students who already completed this course and scored well.
ATTENDANCE REQUIREMENTS:
Regular school attendance is essential for a student’s academic success. When an absence
occurs, a parent / guardian should contact the school office that day to report and provide a
reason for the absence. Following an absence, it is important for a student to complete make-up
work to compensate for missed class time and to maintain a satisfactory grade. Missing class
due to participation in a school-sponsored activity does not count as an absence, but assignments
must be completed on time.
A student must be in school 4 hours (Middle School / High School: attend 4 classes) to be
marked present for the day. Student athletes marked absent for the day are not eligible to
participate in practice or games that day, unless approved by the Principal or Administrator.
Students must complete assignments in classes missed due to late arrival or early dismissal, or
grades will be reduced.
Any student who attains 10 absences in a semester will be placed under review by the Principal.
Absences in excess of 10 per semester may result in failing grades, loss of course credit, and may
jeopardize promotion to the next grade. The school administration will make the final decision
whether a student will pass or fail after contacting parent / guardians and reviewing the
circumstances of the absences.
Seniors with more than 5 absences in a class, excused or unexcused, will not be exempt from the
semester exam in that class. Approved college visits, and missing class due to participation in a
school-sponsored activity will not affect exam exemption.
LATE WORK/MAKE-UP/MISSED TEST POLICY: If a student misses a test or quiz due to
an excused absence, then the student is expected to make up the quiz or test as soon as possible
upon return to school. Makeup quizzes and tests will normally be done outside of class time,
preferably in the morning before school starts.
LAST DAY TO WITHDRAW WITH A “W” GRADE:
INSTRUCTIONAL METHODS: The course content will be taught primarily through a series
of lectures with ample class time being reserved for student questions and interaction. Classroom
participation is a vital part of the instructional process. Students are encouraged to ask questions
in class and demonstrate their ability to solve problems.
ALTERNATE SOURCES OF INSTRUCTION (available at TNCC to dual enrollment
students):
Instructional Videos: Khan Academy, www.khanacademy.org
The College Math Center: Library in Wythe Hall. The math center is available for students who
need additional help outside of class.
Tutorial Learning Center: Wythe Hall Room 253. The tutorial center is available to assist
currently enrolled students desiring additional help in their classes by providing them with peer
tutors (when available).
STUDENTS WITH DISABILITIES.
DBCS believes every child deserves a quality education, regardless of physical, mental, or
emotional disabilities. However, facility, Faculty, and financial constraints make it impossible
for DBCS to accommodate children with disabilities at this time. Since we are unable to create a
proper learning environment, it would be a disservice to allow admission to children with
disabilities. Furthermore, if a current DBCS student is tested and diagnosed with a specific kind
of disability the school cannot accommodate, then the student will be released from the school.
The final decision on any admission shall be exclusively reserved to the School Management
Team. The Team’s decision is not subject to review or appeal.
CALCULATORS: A graphing calculator is an essential tool for this course and each student is
expected to have one. The TI-84 PLUS calculator is recommended because that is the model that
will be used for demonstrations in class.
STATEMENT ON PLAGIARISM/ACADEMIC HONESTY:
Scholastic dishonesty of any form will not be tolerated. Actions for scholastic dishonesty may
include grade reduction, failing grade for course, and/or recommendation for possible dismissal
from the college.
POLICY ON CONTAGIOUS DISEASES.
Parents / guardians are asked to keep all students with fevers and contagious illnesses home.
This is a health consideration for the well-being of all our students, Faculty, and Staff. After the
illness, students need a signed note from parent / guardian stating the reason for missing school.
School policy is that a student must stay home with the following conditions:
Flu symptoms
Diarrhea (24 hours fever free without medication before returning to school)
Colored nasal discharge
Persistent cough
Fever (24 hours fever free without medication before returning to school)
Vomiting due to illness (24 hours without vomiting before returning to school)
Strep Throat (24 hours on medication before returning to school)
Pinkeye (24 hours on medication before returning to school)
Students do, at times, come down with illnesses while at school. If that happens, the student will
be sent to the school clinic for evaluation by the school’s EMT to determine if the student should
stay in school or be sent home. If a student needs to be sent home, every effort will be made to
contact a parent / guardian. If a parent / guardian is not available, an emergency contact person
will be notified. Sick students will remain in the clinic until someone comes to pick them up.