# MAT 282 STATISTICS 3 cr. (3-0) (online sections)

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1 JOHN A. LOGAN COLLEGE J. Dethrow SM 11 MAT 282 STATISTICS 3 cr. (3-0) (online sections) COURSE DESCRIPTION: MAT 282 is designed to meet the needs of students requiring a statistics course with a college algebra prerequisite in their programs. Topics include descriptive statistics, including graphical and numerical, basic probability theory, probability distributions, inferences involving estimation, and hypothesis testing, correlation and regression, and analysis of variance. The Texas Instruments TI-83 or TI-84 graphing calculator or a calculator approved by the instructor is required for this course. MAT 282 is ordinarily offered in the summer semester only. PREREQUISITES: MAT 108 with a grade of C or higher or assessment UCOURSE 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, 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 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. Determine a confidence interval for an unknown y-value in a linear regression analysis. 28. Apply procedures to establish and properly conclude a hypothesis test for the linear correlation between two data sets. COURSE OUTLINE: I. Introduction to Statistics 1.1 Review and Preview 1.2 Statistical Thinking 1.3 Types of Data 1.4 Critical Thinking 1.5 Collecting Sample Data II. III. IV. Summarizing and Graphing Data 2.1 Review and Preview 2.2 Frequency and Distributions 2.3 Histograms 2.4 Statistical Graphics Statistics for Describing, Exploring, and Comparing Data 3.1 Review and Preview 3.2 Measures of Center 3.3 Measures of Variation 3.4 Measures of Relative Standing and Boxplots Probability 4.1 Review and Preview 4.2 Basic Concepts of Probability 4.3 Addition Rule 4.4 Multiplication Rule: Basics 4.7 Counting

3 3 V. Discrete Probability Distributions 5.1 Review and Preview 5.2 Random Variables 5.3 Binomial Probability Distributions 5.4 Mean, Variance, and Standard Deviation for the Binomial Distribution VI. VII. VIII. IX. Normal Probability Distributions 6.1 Review and Preview 6.2 The Standard Normal Distribution 6.3 Applications of Normal Distributions 6.5 The Central Limit Theorem Estimates and Sample Sizes 7.1 Review and Preview 7.2 Estimating a Population Proportion 7.3 Estimating a Population Mean: σ Known 7.4 Estimating a Population Mean: σ Not Known Hypothesis Testing 8.1 Review and Preview 8.2 Basics of Hypothesis Testing 8.3 Testing a Claim About a Proportion 8.4 Testing a Claim About a Mean: σ Known 8.5 Testing a Claim About a Mean: σ Not Known 8.6 Testing a Claim About Variation Inferences from Two Samples 9.1 Review and Preview 9.2 Inferences About Two Proportions 9.3 Inferences About Two Means: Independent Samples 9.4 Inferences from Dependent Samples 9.5 Comparing Variation in Two Samples X. Correlation and Regression 10.1 Review and Preview 10.2 Correlation 10.3 Regression XI. Analysis of Variance 12.1 Review and Preview 12.2 One-Way ANOVA

4 4 COURSE REQUIREMENTS: 1. Access to Online System. Being an online course, students must have access to the online system being used for the course. This course requires access to the textbook publisher s homework system called MyStatLab. ( I will refer to this system as MyStatLab. a. Accounts for MyStatLab are part of the textbook requirement. If you do not have a MyStatLab registration code as part of your textbook, you will need to purchase one separately. This is a requirement for the course. Once you have a student access code for your MyStatLab student access kit, you can register for MyStatLab by browsing to and using the course ID: dethrow b. Questions about access to the online system must be addressed to the instructor as soon as possible. 2. Access to the Internet. It is expected that students have a reliable connection to the Internet. It is also expected that students have a backup plan in order to connect when the primary connection fails. Such backup plans may involve visits to a friend s house, family member s house, JALC computer lab, library, or other publicly available computers. Students with laptops and wireless network cards may access MyStatLab from public WiFi areas. 3. Valid Accounts. You must have a valid account to participate in this course. It is required when you register for MyStatLab. 4. Calculators. The Texas Instruments TI-83 or TI-84 calculator will be required to work some problems in this course. They will be allowed on all homework and assignments, quizzes, and proctored exams. Other calculators are subject to approval from the instructor. 5. Attendance. This is not a self-paced course. You must keep up with deadlines as given in the online course. You must be logged into and participating in MyStatLab at least 3 days per week. In reality, you will likely need to be logged in and participating in course activities every day in order to be successful in the course. It is expected that you will be devoting a minimum of 12 hours per week on this course alone. Student Support Services: 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 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 this campus, Kristin Shelby,

6 6 3. Proctored, Written Exams. There will be 3 proctored, written exams during the semester. These exams will cover multiple chapters and may cover topics from previous written exams. The only materials allowed during the exam will be a pencil and a calculator. The exams will be available in the Learning Lab on the John A. Logan College Carterville campus. A picture ID will be required to take the exams. If you are not in the southern Illinois area, it is your responsibility to contact the instructor during the first week of class in order to find an acceptable proctor. There will be deadlines for the exams. Failure to meet the deadline will result in a zero on the exam. These exams will be worth 300 points each. No points will be dropped from the exam grades. 4. Grades. a. Semester point break-down Graded Activity Maximum Points Online Math Problems 210 Quizzes 80 Proctored, Written Exams 900 Total Points in the Semester 1190 b. Grading Scale Grade Point Range A B C D E Class Conduct and Academic Dishonesty 1. Class Conduct. In general, if you follow the Golden Rule (treat others as you would like to be treated), you will not be confronted about inappropriate conduct. This applies to behavior while participating in online forum posts, correspondence, and instant messaging. Unacceptable behavior or conduct including (but not limited to) racist, sexist or derogatory remarks, foul language, inflammatory comments, condescending or rude remarks, flaming, or display of pornographic material will result in disciplinary action which may range from an E in the class to expulsion from the College. All incidents will be documented and kept on file in the department. Keep in mind that all correspondence in the course is viewable by me. At my discretion, I may remove material from public viewing.

7 7 2. Academic Dishonesty. a. Definition: It is expected that all submitted assignments are the submitter s original, independent work. Following is a list of situations that will be classified as academic dishonesty. Submitting any part of someone else s homework as your own. Allowing someone to submit any part of your homework as his or her own. Posing as someone else in the online environment. Getting help from someone else to complete online assignments. Using notes of any kind (e.g., cheat sheets, text typed in as a program on a calculator, writing on clothing or body parts, using cell phones or other communication devices, etc.) while taking a written exam. Looking at anyone s written exam during the exam. Allowing someone to look at your written exam during the exam. b. Consequences: Penalties for violating this policy on academic dishonesty may range from a zero on the assignment to an E for the course. The violation will be documented and kept on file in the department. I will be obliged to report the incident to the vice president for administration in accordance with Article IV, Section 2 found in Rights & Responsibilities A Student Code of Conduct. The College may then take additional action such as expulsion, suspension, probation, or reprimand by the vice president for administration. METHOD OF PRESENTATION: This course will be administered online. Videos, tutorials, and help will be provided through MyStatLab. The student can obtain additional help through (1) school tutoring (free) or (2) the instructor during a scheduled office appointment. The instructor will respond to relevant student initiated communication within a 48 hour period. TEXT: Elementary Statistics a la carte plus MyStatLab, 11 th Edition; by Mario F. Triola; Addison-Wesley, (ISBN: ). INSTRUCTOR: Joseph Dethrow Office: E209G Ext.: DATE: Summer, 2011

8 8 John A. Logan College Telephone Numbers Carterville and Williamson County... (618) , (618) Carbondale and Jackson County... (618) , (618) Du Quoin... (618) West Frankfort... (618) Crab Orchard, Gorham, and Trico Areas TTY (hearing-impaired access)... (618) John A. Logan College does not discriminate on the basis of race, religion, color, national origin, disability, age, sexual orientation, or gender orientation a SM 11 rev gh

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