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Introduction to Probability and Statistics for Engineers Statistics 3470 - Spring 2014 Syllabus Instructor: Dr. Judit Bach Course Meets: MWF 9:10 – 10:05 a.m. Office: 229 Cockins Hall Jennings Hall 0155 Office Hours: M: 10:30 a.m. – 12:30 p.m. Grader: Jianan Liu W: 3:00 – 3:55 p.m. [email protected] F: 10:30 – 11:30 a.m. or by appointment E-mail: [email protected] Office Phone: 688-0930 (primary communication is e-mail !) Textbook: Probability and Statistics for Engineering and Sciences (8th edition) by Jay Devore. (The book is also available on reserve in the Science and Engineering Library.) Website: The official course website is https://carmen.osu.edu/ . Check Carmen periodically for announcements about the class and additional class material. Software: We will use Minitab in class. If you would like to rent or buy a copy of Minitab, please see http://www.onthehub.com/minitab/ for information. Note that Minitab is only available for PCs, not for Macs. Minitab is also available at all Student Computer Centers (see http://lt.osu.edu/locations-hours/ for information). While we will use Minitab in class, you can use whatever statistical package you would like for your homework. If you would prefer to use another statistical package, that is fine (note that Excel is NOT a statistical package). Text data: Data from the text can be found at the text’s companion site, which can be found at the course website and in the link http://wwwwadsw.orth.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&product_isbn_issn=9780538733526&token= You can download the data sets in whatever format you like. Course Description: The course covers an introduction to probability, discrete and continuous random variables, probability distributions, expected values, sampling distributions, point estimation, confidence intervals, hypothesis testing and simple linear regression models. Students are responsible for all material covered in class, in the assigned readings, and in homework problems. Assumed Background Knowledge and Prerequisites: Calculus, integration, exponential function, finite and infinite sums, union and intersection of sets. Prerequisite courses are Math 1152, 1161.xx, 1172, 1181H, 153, or 254. Homework: There are 11 homework assignments tentatively scheduled throughout the semester. They will be specified in class and on Carmen. You must show your work for all homework problems; do not just write the final answer. All homework must be stapled and legibly written with the course name (Stat 3470), your name, my name, and the grader’s name on each page. Late homework will not be accepted (no excuses). I understand that illness or unplanned emergencies may happen during the semester, so I will drop your three lowest homework scores. I highly recommend that you save these “freebies” until you really need to use them! Exams: There are two exams during the semester and a final exam. One sheet of 8.5 x 11 paper with whatever handwritten facts, formulas or explanations you find helpful may be brought to each exam (both sides of the paper may be used). The final exam is on Friday, April 25, 2014, 10:00-11:45am. Two 8.5 x 11 sheets of paper (same rules as above) may be brought to the final. The final exam will be cumulative, with a slight emphasis on those topics covered after the second exam. A calculator should also be brought to all exams (no cell phone calculators or PDAs). Re-grade Policy: If you have a question about the grading of a homework assignment or an exam, you may file an appeal. An appeal consists of a neatly written or typed note on a 8.5 x 11 paper, attached to your original paper, that explains what should be considered. All appeals must be filed within one week of the date the paper was first returned to class. If you are absent the day a graded paper is first returned to the class, it is your responsibility to come to me to get it in less than a week if you want to have a re-grade option available to you. Full credit policy: Full credit for each homework or exam problem can only be earned through showing your justification for or work on each problem. Answers without work will not receive full credit. Calculators: A calculator (with statistical functions) may be used for homework and exams. No calculators on communication devices (e.g., cell phones, iPods, tablets) will be allowed during exams. Grading: The final course grade will be based on: Homework (8 out of 11, 3% each, excluding your three lowest scores) . . . . . . . . . . . . . . 24% Exam 1 (Monday, Feb 24) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23% Exam 2 (Wednesday, Apr 2). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23% Final Exam (Friday, Apr 25) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30% 100% Percentage Grading Scale: 90% A 87% A- 83% B+ 80% B 77% B- 73% C+ 70% C 67% C- 63% D+ 60% D Student Responsibility: You are responsible for your own learning. I am here solely to facilitate your learning and understanding of the discipline of statistics. I will help you as much as I can, but learning the material is ultimately up to you. This includes: attending class meetings or getting assignments and notes from others if you miss class; asking questions when you have them, either in class or out of class; doing the assigned homework on time and participating in class; and contacting me if you are having difficulties. Study Rooms and Help Hours: Our TAs hold office hours in the Mathematics and Statistics Learning Center in 134 Cockins Hall starting the second week of classes. The hours during which Stat 3460 TAs will be available are posted at http://www.mslc.ohio-state.edu/ College of Arts and Sciences GEC Statement: Statistics 3460 is a Data Analysis course in the Quantitative and Logical Skills category of the GEC. The goals and expected learning outcomes are: Goals/Rationale: Courses in quantitative and logical skills develop logical reasoning, including the ability to identify valid arguments, use mathematical models, and draw conclusions based on quantitative data. Learning Objectives: Data Analysis. Students understand basic concepts of statistics and probability, comprehend methods needed to analyze and critically evaluate statistical arguments, and recognize the importance of statistical ideas. Academic Misconduct: Please help us to maintain an academic environment of mutual respect, fair treatment, and personal growth. You are expected to produce original and independent work for exams. Although students are often encouraged to work together on homework assignments, all students must submit their own written work in their own words. It is the responsibility of the Committee on Academic Misconduct to investigate or establish procedures for the investigation of all reported cases of student academic misconduct. The term “academic misconduct” includes all forms of student academic misconduct wherever committed; illustrated by, but not limited to, cases of plagiarism and dishonest practices in connection with examinations. Instructors shall report all instances of alleged academic misconduct to the committee (Faculty Rule 3335-5-487). Academic misconduct will not be tolerated and will be dealt with procedurally in accordance with university policy, which can be found at http://oaa.osu.edu/coam.html. For additional information, see the Code of Student Conduct at http://studentaffairs.osu.edu/csc/. Communication devices: Cell phones, PDAs and other communication devices must be either turned off or put on vibrate during class. Please refrain from texting during class as a courtesy to those sitting around you. All electronic devices other than a calculator must be shut off and put away during examinations. Advice: 1. A tentative lecture schedule is given in this syllabus. Please give a first reading to scheduled text sections before the lecture that covers that material. 2. The course moves rather quickly. If you are having difficulty, please get help as soon as possible. Homework assignments can be very difficult if you wait until the last minute before trying any problems. 3. It is important that you provide sufficient detail in writing up solutions to the problems for grading. It is also important that your solutions be presented neatly in a clear, easy to read and follow format. No credit will be given for work that is too sloppy or difficult to read. 4. You may wish to photocopy your homework before turning it in around exam. Graded assignments due immediately before a quiz or an exam might not be returned before the quiz or exam (however solutions will be provided so that you can compare your work with them). Addressing Issues of Differing Abilities: All students who feel they may need accommodations based on the impact of a disability should contact the instructor privately to discuss their specific needs. Students with documented disabilities must also contact the Office of Disability Services (ODS) in 150 Pomerene Hall (phone: 292-3307) to coordinate reasonable accommodations for the course. ODS forms must be given to the instructor as early in the semester as possible. Enrollment: ADD and SECTION CHANGES are handled by our department staff after the SIS registration system closes (if space is available) on a first-come, first-served basis. Students should go to 408 Cockins Hall and speak with Jean Scott starting at 7:30 AM on Wednesday, January 15th. The instructor does not sign paperwork associated with course registration. Drop Date: The last day to drop the course without a ‘W' appearing on your record is Friday, January 31. The last day to drop the course without petitioning is Friday, March 21. Receiving an `I' for the Course: You cannot receive an incomplete for the course unless 70% of the work in the course has been completed. Extenuating circumstances will be handled on a case-by-case basis. Tentative Class Schedule and Reading assignments Date M-Jan 6 W-Jan 8 F-Jan 10 M-Jan13 W-Jan 15 F-Jan 17 M-Jan 20 W-Jan 22 F-Jan 24 M-Jan 27 W-Jan 29 F- Jan 31 M-Feb 3 W-Feb 5 F-Feb 7 M-Feb 10 W-Feb 12 F-Feb 14 M-Feb 17 W-Feb 19 F-Feb 21 M-Feb 24 W-Feb 26 F-Feb 28 M-Mar 3 W-Mar 5 F-Mar 7 Mar 10-14 M-Mar 17 W-Mar 19 F-Mar 21 M-Mar 24 W-Mar 26 F-Mar 28 M-Mar 31 W-Apr 2 F-Apr 4 M-Apr 7 W-Apr 9 F-Apr 11 M- Apr 14 W-Apr 16 F-Apr 18 M- Apr 21 F-Apr 25 Topic Course Introduction; Sample Spaces and Events Axioms and Properties of Probability Counting Techniques Conditional Probability Bayes’ Theorem and Independence Random Variables; Discrete Distributions Section 2.1 2.2 2.3 2.4 2.5 Hw 1 due (2.1-2.3) 3.1, 3.2 No class---Dr. Martin Luther King, Jr. Day Discrete Distributions; pmf, cdf Expected Values Expected Values; Binomial Distribution Binomial Distribution; Poisson Distribution Probability Density Functions; cdf, Expected Values & Variances Probability Density Functions; cdf, Expected Values & Variances Normal (Gaussian) distribution Exponential and Gamma Distributions Jointly Distributed Random Variables Jointly Distributed Random Variables Expected Values, Covariance & Correlation Distribution of the Sample Mean; Central Limit Theorem Central Limit Theorem, Distribution of a Linear Combination General Concepts of Point Estimation EXAM 1 General Concepts of Point Estimation Methods of Point Estimation Methods of Point Estimation Basic Properties of Confidence Intervals Confidence Intervals for a Population Mean No class-Spring Break Confidence Intervals for a Population Mean and Proportion Confidence Intervals for a Population Mean and Proportion Hypothesis and Test Procedures Tests About a Population Mean Tests About a Population Proportion Tests About a Population Proportion Goodness-of-Fit Tests EXAM 2 Simple Linear Regression Model Estimating Model Parameters Estimating Model Parameters; Inferences About the Slope Inferences About the Slope; Inferences About Estimates Inferences About Estimates Assessing Model Adequacy Multiple Regression Multiple Regression Friday 10:00-11:45am Final Exam 3.2 Hw 2 due (2.4-5,3.1) 3.3 3.3, 3.4 3.4, 3.6 Hw 3 due (3.2-3) 4.1, 4.2 4.1, 4.2 4.3 Hw 4 due (3.4,3.6,4.1) 4.4 5.1 5.1 Hw 5 due (4.2-4) 5.2 5.3, 5.4 5.4, 5.5 Hw 6 due (5.1-4) 6.1 Ch. 2-5 6.1 6.2 6.2 7.1 Hw 7 due (6.1-2) 7.2 7.2, 7.3 7.2, 7.3 Hw 8 due (7.1-2) 8.1 8.2 8.3, 8.4 Hw 9 due (7.3,8.1-2) 8.3, 8.4 14.1 Ch. 6-8 12.1 12.2 12.2, 12.3 Hw 10 due (8.3-4,14.1) 12.3, 12.4 12.4 13.1 Hw 11 due (12.1-4) 13.4 13.4