JOHN A. LOGAN COLLEGE J. Jeter SM 11 MAT 120 ELEMENTARY STATISTICS 3 cr. (3-0) (Online Sections) COURSE DESCRIPTION: MAT 120 is a general education mathematics course which fulfills 3 hours of the core curriculum mathematics requirement. The course introduces the basic properties of descriptive and inferential statistics, basic probability theory, probability distributions, graphing, measures of location and variation, linear regression and correlation. Emphasis is placed on the application of statistics, distributions, and regression analysis. The Texas Instruments TI-83 or TI-84 graphing calculator is required for this course. PREREQUISITES: MAT 061 and MAT 062 both with a grade of C or higher or assessment COURSE OBJECTIVES: 1. Compute the mean, median, mode, and standard deviation of a data set. 2. Compute the expected value and standard deviation of a distribution. 3. Construct a histogram from a data set or probability distribution. 4. Construct a box-plot and interpret the five-number summary. 5. Apply counting principles for computing probabilities. 6. Compute probabilities for a discrete random variable to assume a distinct value or a range of values when the distribution is general, binomial, geometric, or Poisson. 7. Compute probabilities for a continuous random variable to assume a range of values when the distribution is normal via the normal table and via TI-83 calculator. 8. Compute the z-value for a continuous random variable. 9. Apply the Central Limit Theorem to the sampling distribution of means. 10. Calculate a confidence interval for a population mean using large samples. 11. Calculate a confidence interval for a population mean using small samples. 12. Calculate a confidence interval for a population proportion using large samples. 13. Calculate a confidence interval for a difference of population means using large samples. 14. Calculate a confidence interval for a difference of population means using small samples. 15. Calculate a confidence interval for a difference of population proportions using large samples. 16. Compute an appropriate sample size satisfying criteria for a large sample. 17. Apply procedures to establish and properly conclude a hypothesis test for a population mean using large samples.
2 18. Apply procedures to establish and properly conclude a hypothesis test for a population mean using small samples. 19. Apply procedures to establish and properly conclude a hypothesis test for a population proportion using large samples. 20. Apply procedures to establish and properly conclude a hypothesis test for a difference of population means using dependent samples. 21. Apply procedures to establish and properly conclude a hypothesis test for a difference of population means using independent samples. 22. Apply procedures to establish and properly conclude a hypothesis test for a difference of population proportions using independent samples. 23. Utilize the P-value in the decision making process of hypothesis testing. 24. Utilize the critical region in the decision making process of hypothesis testing. 25. Determine an equation of the least-squares line in a linear regression analysis. 26. Determine a prediction for an unknown y value in a linear regression analysis. 27. Apply procedures to establish and properly conclude a hypothesis test for the linear correlation between two data sets. COURSE OUTLINE: Topics to be covered in this course include: I. GETTING STARTED A. What Is Statistics? B. Random Samples C. Introduction to Experimental Design II. ORGANIZING DATA A. Frequency Distributions, Histograms, and Related Topics B. Bar Graphs, Circle Graphs, and Time-Series Graphs C. Stem-and-Leaf Displays III. AVERAGES AND VARIATION A. Measures of Central Tendency: Mode, Median, and Mean B. Measures of Variation C. Percentiles and Box-and-Whisker Plots IV. ELEMENTARY PROBABILITY THEORY A. What Is Probability? B. Some Probability Rules--Compound Events C. Trees and Counting Techniques V. THE BINOMIAL PROBABILITY DISTRIBUTION AND RELATED TOPICS A. Introduction to Random Variables and Probability Distributions B. Binomial Probabilities C. Additional Properties of the Binomial Distribution D. The Geometric and Poisson Probability Distributions
3 VI. NORMAL DISTRIBUTIONS A. Graphs of Normal Probability Distributions B. Standard Units and Areas Under the Standard Normal Distribution C. Areas Under Any Normal Curve D. Normal Approximation to the Binomial Distribution VII. VIII. INTRODUCTION TO SAMPLING DISTRIBUTIONS A. Sampling Distributions B. The Central Limit Theorem ESTIMATION A. Estimating the Population Mean When the Population Standard Deviation is Known B. Estimating the Population Mean When the Population Standard Deviation is Unknown C. Estimating p in the Binomial Distribution D. Estimating the Difference of Two Means and the Difference of Two Proportions IX. HYPOTHESIS TESTING A. Introduction to Statistical Tests B. Testing the Population Mean C. Testing a Proportion D. Tests Involving Paired Differences (Dependent Samples) E. Testing Differences of Two Means or Two Proportions (Independent Samples) X. CORRELATION AND REGRESSION A. Scatter Diagrams and Linear Correlation B. Linear Regression and the Coefficient of Determination C. Inferences for Correlation and Regression COURSE REQUIREMENTS: Homework. Homework will be assigned throughout the semester. The student should realize that, as a general rule of thumb, a minimum of two hours of study outside of class is required for every one hour of class time. This course will require between twelve and twenty hours per week of outside class work. Required Materials. The textbook, along with the usual notebook, paper, pencils, etc., represent the required materials for the class. *Since this is an online class, a computer, Internet connection, and e-mail address are required for this course. The utilization of the Texas Instruments TI-83 Graphing Calculator will be emphasized in the textbook, as well as on homework assignments and tests. Hence, the student is required to use the TI-83 on appropriate assignments and should be knowledgeable of its workings. (The calculator manual provided by the manufacturer of the student s
4 calculator will also be required from time to time.) The statistical functions provided by the Texas Instruments TI-83 Graphing Calculator will be used extensively throughout the course and will be necessary for successful completion of homework assignments and tests. Online Materials. A web-based program called Blackboard will be used to access online class materials. For information on creating a Blackboard account or logging into this course, please go to: http://www.jalc.edu/orientation.html. Information about free online orientation to Blackboard and online instruction is also available at the same location. Please note that one-half hour of free college credit can be earned for firsttime completion of Blackboard orientation. For more information, go to: http://www.jalc.edu/orientation.html. Student Success Center. Tutors may be obtained through the Student Success Center. Contact the staff in C219 if this service is desired. John A. Logan College will make reasonable accommodations for students with documented disabilities under Section 504 of the Rehabilitation Act of 1973, and the Americans with Disabilities Act of 1990. Any student with a disability that may have some impact on work in this class, who feels she/he needs an accommodation, should make an appointment with the Coordinator of Services for Students with Disabilities on campus, Kristin Shelby, Room C219B, Ext. 8516. Before services can be provided, this advisor must determine eligibility and arrange appropriate academic adjustments. It is the student s responsibility to register in advance of a school term with this office and to turn in a schedule each term to ensure that there is every opportunity for success in this class. English Writing Center/Tutoring. For assistance with writing assignments in any college course, students are encouraged to visit The Write Place in Room E109. English instructors are available for one-on-one tutoring each semester during hours posted at the center. Financial Aid. Students who receive financial assistance and completely withdraw from classes prior to 60% of the semester being completed (approximately 2-3 weeks after midterm) could be responsible to return a portion of their Federal Pell Grant award. Prior to withdrawing from courses, students should contact the Financial Aid Office. Course Withdrawal Information. It is expected that you will attend this class regularly. If you stop attending for any reason, you should contact your advisor and withdraw officially to avoid the posting of a failing grade (an E) to your transcript. It is also advisable to discuss the situation with your instructor before dropping.
5 METHOD OF EVALUATION: Evaluation will be made on the basis of: 1. Homework assignments and online quizzes, totaling no more than 200 points. 2. Four 100-point exams taken in the Learning Lab or approved testing site. Each student is expected to take all exams by the date scheduled. No make-ups will be given on tests not taken by the date scheduled. Students attending a required school-sponsored activity must make arrangements with the instructor to complete the exam before attending the obligatory event. Any answers which have been copied from someone else will result in a zero for all parties involved. Grades are assigned according to the following scale: A = 90-100% B = 80-89% C = 70-79% D = 60-69% E = 0-59% METHOD OF PRESENTATION: This course will be administered online. Lecture notes will be posted in the online course. The student can obtain additional help through (1) school tutoring (free), (2) videotapes available in the Learning Lab, or (3) the instructor during office hours. TEXT: Understandable Statistics: Ninth Edition; by Brase and Brase; Houghton Mifflin Company, 2009. INSTRUCTOR: Jennifer Jeter Office: E209F Ext.: 8177 E-mail: jenniferjeter@jalc.edu DATE: Summer, 2011
6 John A. Logan College Telephone Numbers Carterville and Williamson County... (618) 985-3741, (618) 985-2828 Carbondale and Jackson County... (618) 549-7335, (618) 457-7676 Du Quoin... (618) 542-8612 West Frankfort... (618) 937-3438 Crab Orchard, Gorham, and Trico Areas... 1-800-851-4720 TTY (hearing-impaired access)... (618) 985-2752 John A. Logan College does not discriminate on the basis of race, religion, color, national origin, disability, age, sexual orientation, or gender orientation. 05-20-10-25a SM 11 rev 05-17-11 gh