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 Prof. Quintanilla |Description: Description: Description: Description: Description: | Department of Mathematics |Description: Description: Description: Description: Description: | University
of North Texas |

Math 3680.003: Spring 2012

Meets: TR 8:00-9:20 in Discovery Park, Room B185.

Instructor: Professor John Quintanilla

Office: GAB, Room 418-D

Office Phone: x4043

E-mail: jquintanilla@unt.edu

Web page: http://www.math.unt.edu/~johnq/Courses/2012spring/3680/

Office Hours: T 10-12, W 10:15-12:15, or by appointment. I'm fairly easy to find, and you're welcome to drop by outside of office hours without an appointment. However, there will be occasions when I'll be busy, and I may ask you to wait or come back later.

Required Text: Statistics for the Sciences, by M. Buntinas and G. M. Funk.

Strongly Recommended: Lecture notes for the semester are available at the UNT Copy Center for approximately $18.

Technology: You will be expected to bring to class --- including exams --- either a laptop computer with a spreadsheet program (such as Microsoft Excel or Open Office Calc) or else a calculator that can perform multiple statistical functions. In class, I will demonstrate how to use Microsoft Excel and a TI-83 Plus to perform various statistical functions. If you have some other kind of calculator, you are welcome to ask me before or after class about how to use its statistical functions.

Course Description: Descriptive statistics, elements of probability, random variables, confidence intervals, hypothesis testing, regression, contingency tables.

Prerequisite: Math 1710 and Math 1720 (may be taken concurrently).


Course Topics

The following chapters and sections of the textbook will be covered according to the projected schedule below. Dates may change as events warrant.

  • Chapter 2: How to Describe and Summarize Data
    • 2.1 Variables and Data Sets
    • 2.2 Categorical Data
    • 2.3 Ordinal Data
    • 2.4 Ratio Data
    • 2.5 Frequency Tables and Histograms
    • 2.6 Grouped Data and Sturge's Rule
    • 2.7 Stem-and-Leaf Plot
    • 2.8 Five-Number Summary
    • 2.9 Box Plot
    • 2.10 The Mean
    • 2.11 Variance and Standard Deviation
  • Chapter 3: Probability
    • 3.1 Overview
    • 3.2 Definitions
    • 3.3 Probabilities of Events
    • 3.4 Rules of Probability
    • 3.5 Tree Diagrams
  • Chapter 4: Discrete Random Variables
    • 4.1 Introduction
    • 4.2 Basic Properties
    • 4.3 Probability Histograms
    • 4.4 Expected Value or Mean
    • 4.6 Variance and Standard Deviation
  • Chapter 5: Random Variables for Success/Failure Experiments
    • 5.2 Binomial Random Variables
    • 5.3 Hypergeometric Random Variables
  • Chapter 6: Introduction to Hypothesis Testing
    • 6.1 Overview
    • 6.2 Two Types of Error
    • 6.3 The Sign Test
    • 6.4 Binomial Exact Test
  • Chapter 7: Continuous Random Variables
    • 7.1 Basic Properties
    • 7.2 Percentiles and Modes
    • 7.3 Expected Value or Mean
    • 7.5 Variance and Standard Deviation
  • Chapter 8: Normal Random Variables
    • 8.1 Introduction
    • 8.2 Normal Approximation of Binomial
    • 8.3 Continuity Correction
    • 8.4 Central Limit Theorem
  • Chapter 10: Two or More Random Variables
    • 10.4 Linear Combination of Random Variables
  • Chapter 11: Sampling Experiments and the Law of Averages
    • 11.1 Populations and Parameters
    • 11.2 Samples and Statistics
    • 11.3 Law of Averages for the Sample Count
    • 11.4 Law of Averages for the Sample Sum
    • 11.5 Law of Averages for the Sample Proportion
    • 11.6 Law of Averages for the Sample Mean
    • 11.7 The Z Statistic
  • Chapter 12: The z and t Tests of Hypothesis
    • 12.1 The z Test
    • 12.2 Two-Sided z Test
    • 12.3 Bootstrapping and the t Test
  • Chapter 13: Estimation with Confidence
    • 13.1 Difference between Confidence and Probability
    • 13.2 Two-Sided Confidence Intervals
    • 13.4 Bootstrapping and the t Curves
    • 13.5 Margin of Error and Sample Size
    • 13.6 Interval Estimate of Proportion
  • Chapter 14: Two-Sample Inference
    • 14.1 Matched Pair Samples
    • 14.2 Independent Samples
    • 14.3 Welch's Formula
    • 14.4 Independent Samples with Equal Variances
  • Chapter 15: Correlation and Regression
    • 15.1 Introduction
    • 15.2 Scatter Plots
    • 15.3 The Correlation Coefficient
    • 15.4 Fitting a Scatter Plot by Eye
    • 15.5 The Regression Line
    • 15.6 Estimation with Regression
    • 15.7 The Regression Paradox
    • 15.8 Testing for Correlation
    • 15.9 Correlation is not Causation
  • Chapter 16: Inference with Categorical Data
    • 16.1 Introduction
    • 16.2 Comments on the Definition of x2
    • 16.3 Testing Goodness of Fit
    • 16.4 Contingency Table Tests

January 17: 2.1-9

January 19: 2.10, 11

January 24: 3.1-4

January 26: 3.5, 4.1-6

January 31: 5.2-3

February 2: 6.1-2

February 7: Review

February 9: Exam #1

February 14: 6.3-4

February 16: 6.4, 7. 1-5

February 21: 16.1-3

February 23: 16.3-4

February 28: 8.1-2

March 1: 8.3-4, 11.1-3

March 6: Review

March 8: Exam #2

March 13: 10.4, 11.4-5

March 15: 11.6, 12.1

SPRING BREAK

March 27: 12.1, 2

March 29: 12.3, 13.1-2

April 3: 13.4-6

April 5: 14.1-2

April 10: Review

April 12: Exam #3

April 17: 14.3-4

April 19: 15.1-5

April 24: 15.6-9

April 26: Polling

May 1: Medical trials

May 3: Review

May 10: Final


Student Responsibilities


Grading Policies

You may find the advice of former Math 3680 students helpful.

The following schedule is tentative and is subject to capricious changes in case of extracurricular events deemed sufficiently important to the upper administration.

Final Exam

Thursday, May 10

8:00-10:00 am

27%

Exam 1

c. Week 4

21%

Exam 2

c. Week 8

21%

Exam 3

c. Week 12

21%

Homework

10%

A

90% and above

B

80% and below 90%

C

70% and below 80%

D

60% and below 70%

F

below 60%

Cooperation is encouraged in doing the homework assignments. However, cheating will not be tolerated on the exams. If you are caught cheating, you will be subject to any penalty the instructor deems appropriate, up to and including an automatic F for the course.

Attendance is not required for this class. However, you will be responsible for everything that I cover in class, even if you are absent. It is my experience that students who skip class frequently make poorer grades than students who attend class regularly. You should consider this if you don't think you'll be able to wake up in time for class consistently.

The grade of "I" is designed for students who are unable to complete work in a course but who are currently passing the course. The guidelines are clearly spelled out in the Student Handbook. Before you ask, you should read these requirements.


Exam Policies


Homework Policies


Note to TNT Students


Final Note

In compliance with the Americans with Disabilities Act, I mention the following: It is the responsibility of students with certified disabilities to provide the instructor with appropriate documentation from the Dean of Students Office.

Description: Description: Description: Description: Description: | Home |Description: Description: Description: Description: Description: | E-mail
|Description: Description: Description: Description: Description: |
 Homework |
Description: Description: Description: Description: Description: |
 Prof. Quintanilla |Description: Description: Description: Description: Description: | Department of Mathematics |Description: Description: Description: Description: Description: | University
of North Texas |