Math 1342
Mathematics
Alief Campus
Math 1342: Elementary Statistics
CRN 43728 – Spring/2015
Rm 321 | 12:30 pm – 2:00 pm Mon and Wed
3 hour lecture course / 48 hours per semester/ 16 weeks
Textbook: Bluman,
Allan G., Elementary Statistics A Step by Step Approach,
McGraw Hill, Sixth Edition, 2007. ISBN: 978-0-07-3251639
Instructor: Professor Oscar Castro
Phone: (713)429-5792
Email: oscar.castro@hccs.edu
Sch. Off: (713) 718-5511
Catalog Description: MATH 1342 Statistics. Topics include histograms, measures of central tendency and
variation, probability, binomial and normal distributions, and their applications, confidence intervals, and tests
of statistical hypotheses. 3 credit (3 lecture).
Course Intent: This course is intended for students primarily in health sciences and business rather than math
or science majors. It consists of concepts, ideas, and applications of statistics rather than a theory course.
Course Objectives: Upon completion of this course, a student should be able to:
1. Demonstrate knowledge of statistical terms.
2. Understand the different between descriptive and inferential statistics.
3. Identify: types of data, measurement level of variables, and four basic sampling techniques.
4. Construct the relative frequency table from a given set of ungroup data.
5. Know and use the different graphs: histogram, frequency polygon, Ogives, Pareto, and pie to present
data.
6. Compute the mean, median, mode, midrange, range, variance, and standard deviation.
7. Identify the various measures of position such as percentiles, deciles, and quartiles.
8. Find the total number of outcomes in a sequence of events using tree diagram and multiplication rule.
9. Understand the use of permutation and combination rules.
10. Determine sample spaces and find the probability of an event using classical probability.
11. Find the probability of compound events using addition and/or multiplication rules.
12. Find the conditional probability of an event
13. Construct a probability distribution for a random variable
14. Find the mean, variance, and expected value for a probability distribution function.
15. Find the exact probability for X successes in n trial of a binomial experiment.
16. Find the mean, variance, and standard deviation for binomial distribution.
17. Identify the properties of the normal distribution.
18. Find the area under the normal curve, given various z values.
19. Find probabilities for a normally distributed variable by transforming it into a standard normal variable.
20. Find specific data values for given percentages using the standard normal distribution.
21. Apply the central limit theorem to solve problems involving sample means.
22. Use the normal approximation to compute probabilities for a binomial variable.
23. Find a confidence interval for the mean when  is known or n  30.
24. Determine the minimum sample size for finding a confidence interval for the mean.
25. Find a confidence interval for the mean when  is unknown and n  30.
26. Find a confidence interval for proportion.
27. Determine the minimum sample size for finding a confidence interval for a proportion.
Math 1342
28. Find a confidence interval of variance and standard deviation.
29. Understand the definitions used in hypothesis testing.
30. State null hypothesis and alternative hypothesis.
31. Understand the terms: type I error and type II error, test criteria, level of significance, test statistic.
32. Find the critical values for the z-test, t-test, and  -test.
33. Test hypothesis for: means (large and small sample), proportions, variance, and standard deviation.
34. Draw scatter plot for a set of ordered pairs.
35. Compute the correlation coefficient and the coefficient of determination.
36. Compute the equation of the regression line by using the least square method.
37. Test a distribution for goodness of fit using chi-square.
38. Test independence and homogeneity using chi-square.
39. Use the one-way ANOVA technique to determine if there is a significant difference among three or
more means.
40. Determine differ in means using the Scheffe’ or Tukey test if the null hypothesis is rejected in the
ANOVA.
The following topics will be covered.
APPROXIMATE TIME
TEXT REFERENCE
Unit I - The Nature of Probability and Statistics
Sections: 1.1-1.8
(3 hours)
This unit begins an introduction to statistics. Included are sections discussing descriptive and inferential
statistics, variables and types of data, data collection and sampling techniques, and uses and misuses of
statistics. The chapter concludes with a technology discussion.
Unit 2 - Frequency Distributions and Graphs
Sections: 2.1-2.5
(3 hours)
This unit begins with an introduction to organizing and presenting data. The major topics of this unit are
construction of a frequency distribution table from an ungroup data and presented data by using: histograms,
frequency polygons, ogives, bar graphs, Pareto charts, pie graphs, and time series graphs.
Unit 3 - Data Description
Sections: 3.1-3.6
(4:30 hours)
This unit covers measures of central tendency, measures of dispersion, and position measures. Topics include
mean, median, mode, distribution shapes, midrange, range, variance, standard deviation, coefficient of
variation, Chebyshev’s theorem, z-scores, percentiles, deciles, quartiles, and outliers.
Unit 4 – Probability and Counting Techniques
Sections: 4.1-4.7
(4:30 hours)
This unit begins with an introduction to probability as a chance concept. The basic concepts of probability are
covered in the unit. These concepts include probability experiments, sample spaces, the addition and
multiplication rules, and conditional probabilities. Counting rules including permutations and combinations are
also covered.
Unit 5 – Discrete Probability Distributions
Sections: 5.1-5.4.
(4:30 hours)
This unit gives an introduction to distribution theory and explains the concepts and applications of a probability
distribution. Topics include: mean and variance of discrete random variable and the binomial distribution.
Math 1342
Sections: 6.1-6.7
Unit 6 - The Normal Distribution
(4:30 hours)
This unit begins with properties of a normal distribution. Topics include the standard normal distribution,
application of the normal distribution, the central limit theorem, and normal approximation to the binomial
distribution.
Unit 7 - Confidence Intervals and Sample Size
Sections: 7.1-7.6
(6 hours)
This unit is an introduction to inferential statistics as related to estimation. Topics include confidence intervals
for the mean ( known and n  30) and sample size, confidence intervals for the mean ( unknown and n < 30),
confidence intervals and sample size for proportions, and confidence intervals for variances and standard
deviation.
Unit 8 - Hypothesis Testing
Sections: 8.1-8.5, 8.6-8.7 (Optional)
(9 hours)
This unit begins with an introduction to the concepts involved in statistical hypothesis testing. Topics include
steps in hypothesis testing of: the z-test for a mean and proportion, and the t-test for a mean using the traditional
and p-value methods. A Chi-squared test for variance or standard deviation is optional.
Unit 9 - Correlation and Regression
Sections: 10.1-10.4
This unit begins with an introduction to variable relatedness. Topics include scatter plots, correlation, and
regression.
Unit 10 - Chi-Square
Sections: 11.1-11.3.
This unit begins with an introduction to statistical tests for variance and good of fit. Topics include the chisquare distribution in test for goodness of fit and test for independence.
Unit 11 - The F Test and Analysis of Variance
Sections: 12.1-12.3. (Optional)
This unit begins with an introduction to the F distribution, multiple comparison procedures and the analysis of
variance. Topics include one-way analysis of variance, the Scheffe’ test, and Tukey test.
Departmental Policies:
1. Each instructor must cover all course topics by the end of the semester. The final exam is
comprehensive and questions on it can deal with any of the course objectives.
2. Each student should receive a copy of the instructor’s student syllabus for the course during the first
week of class.
3. A minimum of three in class tests and a comprehensive final departmental examination must be given.
The final examination must be taken by all students.
4. All major tests should be announced at least one week or the equivalent in advance.
5. The final exam must count for at least 25 to 40 percent of the final grade.
6. The final course average will be used in the usual manner (90-100 “A”; 80-89 “B”; 70-79 “C”; 60-69
“D”; Below 60 “F”).
7. Either an open book or a take home major test may be given at the discretion of the instructor.
8. Research Project: Both from the “writing across the curriculum,” and as a tool to understand what is
involved in doing (statistical) research, it is strongly suggested that a research project be assigned. The
project should count as much as another exam.
Math 1342
Resource Materials: Any student enrolled in Math 1342 at HCCS has access to the Academic Support Center
where they may get additional help in understanding the theory or in improving their skills. The Center is
staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and computerassisted drills. Also available is a student’s Solutions manual which may be obtained from the bookstore.
Student Conduct: Students will be expected to treat each other and the instructor courteously and with respect.
In class, please greet each other pleasantly, refrain from activities which may be distracting to others, and
participate honestly in group work and exams. If you are dissatisfied with any aspect of the instructor or with
other students, please discuss your concerns with the instructor. If such discussion does not produce a resolution
to your concern, feel free to contact the department chair. Any student who proves to be disruptive to the
learning process of others will be removed from class and dealt with by the administration.
Student Responsibilities: Consider being a student as a part-time or full-time job. It is each student’s job to
learn. With this job, the student has the responsibility to participate in class, ask relevant questions, seek help
when needed, and submit assignments when they are due. Treat each deadline as you would an interview: do
not miss a deadline. Expect to spend a minimum of 2-6 hours per week, in addition to class time, studying
mathematics. If you miss class, it is your responsibility to make up any work assigned, get notes or handouts,
and determine if any pertinent announcement were made during your absence.
Academic Honor: Every student in the class is expected to exhibit a high degree of ethical standards as
concerns the work in this class. Every graded assignment in this course(homework/quiz, library assignment, or
test) is to be entirely your own work unless otherwise stated. Any violation of this policy will result in a
minimum penalty of failure of the assignment and a maximum penalty of expulsion from the college.
Makeup Exams/Quizzes: Makeups are given at the discretion of the instructor and only in the case of verified
medical or other documented emergencies. Notify your instructor, if possible, before the test is given. If the
event is not an emergency, you must notify the instructor in advance to request a makeup. REMEMBER: The
instructor is not required to accommodate you.
Final Grade: The final grade will be based on the following method:
E = Exam Average
Q = Daily Average(includes quizzes, daily work, etc.)
F = Final Exam Score
Grade = 0.25Q + 0.50E + 0.25F
By the second week of school, each student will have a calendar to cover all quizzes, exams, and the final exam.
Grades of A, B, C, D, or F will be assigned according to departmental policy. The grade of ‘I’ is given only in
exceptional circumstances. When a student for good reason misses too much work or the final exam and notifies
the instructor promptly, the instructor may give the grade ‘I’(incomplete) and specify what work should be
completed to remove the ‘I’ grade. The ‘I’ will become an ‘F’ if not replaced after one full semester.(Refer to
the student handbook
Americans with Disabilities Act (ADA): Any student with a documented disability (e.g., physical,
learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the
Disability Services Office at the respective college at the beginning of each semester. Faculty are authorized to
provide only the accommodations requested by the Disability Support Services Office.
INFORMATION CONCERNING STUDENT DISCIPLINE AND CONDUCT NOT COVERED CAN
BE LOCATED IN THE STUDENT HANDBOOK. ALL MATERIAL CONTAINED THEREIN WILL
APPLY TO THIS CLASS.
MyStatLab Instructions:
Course ID: castro16677
Math 1342 Statistics
Math 1342
Tentative Instructional Outline: Statistics 1342
Week
Number
1
Activities
and Assignment
Students are required to
Oscar J. Castro
Objectives and Details
Read all sections covered to include the exercises at the end
of each section. Try some or all of the odd problems.
1/20/15
2
1/26/15
Intro & Secs 1.1 & 1.2
1/28/15
3
2/2/15
Sec 2.2 & Quiz #1
2/4/15
4
2/9/15
Test #1
2/11/15
Secs 3.2 & 3.3
5
2/16/15
Sec 3.4 & Quiz #2
Secs 1.3 & 2.1
Quiz on 1.1 to 1.3
Secs 2.3 & 2.4
Test on 1.1, 1.2, 1.3, 2.1, 2.2, 2.3
Secs 2.5 & 3.1
Quiz on 2.5, 3.1, 3.2
2/18/15
6
2/23/15
Secs 4.1, 4.2
Test #2
Test on 2.4, 2.5, 3.1, 3.2, 3.3
2/25/15
7
Sec 4.3 & Quiz # 3
Quiz on 3.4, 4.1, 4.2
3/2/15
Sec 5.1
3/4/15
8
3/9/14
Sec 5.2
3/11/15
Secs 5.3 & 5.4
Test # 3
Research Project due on Final Exam Day
Math 1342
9
3/16/15 - 3/22/15
SPRING BREAK
3/23/15
3/24/15
3/25/15
10
3/30/15
Sec 5.5 & 6.1
Important Date
Sec 6.2 & Quiz #4
Last day for administrative withdrawal
Quiz on 5.3,5.4, 5.5
4/1/15
11
4/6/15
Sec 7.1
4/8/15
12
4/13/15
Secs 7.2 & 7.3
Secs 6.3 & 6.4
Test #4
Secs 7.4 & 7.5
4/15/15
13
4/20/15
Sec 7.5 & Quiz #5
4/22/15
Secs 9.3 & 10.1
14
4/27/15
Test #5
Quiz on 7.1, 7.2, 7.3
Secs 9.1 & 9.2
4/29/15
15
5/4/15
Secs 10.2 & 10.3
5/6/15
16
Final Review & Makeups
5/10/15
5/14/15
FINAL EXAM
5/22/15
Test on C5 & C6
Test on C7 & C9
Sec 10.4
Instruction Ends
Comprehensive Exam, Scantron Req., 12:00pm
GRADES AVAILABLE TO STUDENTS