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Introduction to Statistics Math& 146 (5 credit hours) Spring 2017 Instructor: Tom McCollow Phone: (253)864-3273 or (253) 486-2822 E-mail: [email protected] Office Hours: Monday – Friday 11:00 -11:50 AM CTR290M TEXT: : Statistics: Informed Decisions Using Data, 5th Edition; Michael Sullivan COURSE DESCRIPTION: Introduction to the analysis of data using descriptive statistics, probability, and inferential statistics. Topics include: data collection methods; measures of center and variation; graphical presentation of data; probability; binomial and normal distributions; confidence intervals; hypothesis tests of one and two parameters, using the normal, Student-t, and chi-square distributions; linear correlation and regression. COURSE PRE-REQUISITES:, MATH 96 or equivalent with a grade of at least 2.0, or placement score above MATH 96 level. Graphing Calculator Required (TI – 84 Recommended) TOPIC SEQUENCE I. Descriptive Statistics Chap 1 - 3 II. Probability Chap 5 - 7 III. Inferential Statistics Chap 8 - 11 IV. Regression and Goodness-of-Fit Chap 4, 12 ATTENDANCE Attendance at all class sessions is required. If you miss a class you are responsible for all material covered and assignments made during that class. GRADING POLICY Your grade will be based on five categories: Daily Assignments, Quizzes/Weekly Assignments, Written Assignments (2), Major Exams (2), and a Cumulative Final Exam. The weights are as follows: Daily Assignments 10% There will be homework assigned for each new topic we cover. Doing these assignments will give you the experience necessary to be successful in this course. The best way to learn mathematics is to do mathematics. Typically, assigned problems will be due at the next class period. Late assignments will not be accepted. At the end of the quarter, I will drop the lowest Daily Assignment grades. Therefore, if you miss one or two, it will not hurt your grade; however, if you miss ten or twelve, there will be an impact. Quizzes/Weekly Assignments 10% Quizzes and weekly assignments will account for 10% of your final grade. We will have quizzes about once per week, typically they will not be announced in advance. They will consist of a few problems, usually taken from homework assignments, and will serve as a means to measure how well you are grasping the material. If you keep up with the homework and actively participate in class meetings, you should do well on these quizzes. Make-up quizzes will not be given for students who miss quizzes due to absence or tardy. Each week there will be a set of problems assigned. These are in addition to Daily Homework. These assignments will be typically given on Monday or Tuesday and will be due the following Monday. These assignments will be graded in the same way that quizzes are graded. These assignments represent opportunities to have additional practice with topics covered in class. Problems on the weekly assignments may include material currently covered as well as review material. It is acceptable (even encouraged) to work with study partners on these assignments. Again, late assignments will not be accepted. Again, the lowest quiz/weekly assignment score will be dropped at the end of the quarter, so missing one will not hurt your grade at all. Written Assignments 10% There will be two written assignments, one after Chapter 3 and one after Chapter 9. Details on these assignments will come at appropriate times. Major Exams 50% There will also be two major exams, one after Chapter 7 and one after Chapter 11. All exams (including the Final Exam) will be open book, and calculators or laptops (with restrictions) will also be allowed. Students will also be allowed one page of handwritten notes for each exam. However, phones are NOT allowed. Before each Major Exam there will be an opportunity to review concepts for the exam. All students will take the Major Exams at the scheduled times. No make-up exams will be given. In the event that an unavoidable conflict occurs, a grade of 0 will be given for the exam. In such a case, the grade for the Final Exam will be used to replace a missed exam. NOTE: Sharing of any resources (such as, but not limited to, calculators, notes, information, pencils, erasers, …) during exams or quizzes is prohibited. Cumulative Final Exam 20% The cumulative final exam will account for 20% of your final grade. The final exam will be scheduled for our last class meeting, check the Topic Outline for the date and time. All students must take the final exam in order to receive a passing grade for the course. That is, if you do not take the final exam, you will fail the course. ASSIGNED GRADES Decimal grades reported for this class will range from 4.0 to 0.0. The minimum grades that will be assigned are as follows: 96-100%: 4.0 94-95: :3.9 93 :3.8 92 :3.7 91 :3.6 90 :3.5 89:3.4 88:3.3 87:3.2 86:3.1 85:3.0 84:2.9 83:2.8 82:2.7 81:2.6 80:2.5 79:2.4 78:2.3 77:2.2 76:2.1 75:2.0 74:1.9 73:1.8 72:1.7 71:1.6 65:1.0 70:1.5 69:1.4 68:1.3 67:1.2 66:1.1 Below 65%:0.0 SPECIAL NEEDS STATEMENT Students with disabilities who believe they may need academic adjustments, auxiliary aids or services to fully participate in course activities or meet course requirements are encouraged to register with the Access and Disability Services (ADS) Office, Room A-115 in the Administration Building. You may also call the ADS Office to make an appointment to meet with the ADS Coordinator at (253) 840-8335 or (253)864-3301. Students requesting accommodations must obtain the “Approved Quarterly Academic Adjustments, Auxiliary Aids or Services” (green) form provided by ADS. ACADEMIC INTEGRITY It is expected that all students will follow the Pierce College Student handbook policies corresponding to academic dishonesty and the consequences of violating those policies. EMERGENCY PROCEDURES FOR CLASSROOMS Call 911 and then Campus Safety in response to an imminent threat to persons or property. In the event of an evacuation (intermittent horns & strobes), gather all personal belongings and leave the building using the nearest available safe exit. Be prepared to be outside for one hour and stay a minimum of 200 feet from any building or structure. So long as it is safe to do so students are expected to stay on campus and return to class after evacuations that last less then 15 minutes. Do not attempt to re-enter the building until instructed by an Evacuation Director (identified by orange vests) or by three horn blasts or bell rings. Please notify the nearest Campus Safety Officer or Evacuation Director of any one left in the building or in need of assistance. Puyallup Campus Safety (253) 840-8481 ADMINISTRATIVE WITHDRAWAL – NON-ATTENDANCE Pierce College reserves the right to administratively withdraw registered students who fail to attend initial class sessions and fail to make arrangements for excused absences through the instructor or division dean. If a student does not make prior arrangements, the instructor may report the students as not attending, and the student will be dropped from the class. If a student attends a class after being dropped, the student must follow the enrollment policy in effect at the time, which may include a requirement for the instructor’s signature or the payment of a late fee, as applicable. STUDENT OUTCOMES Descriptive Statistics 1. Demonstrate appropriate use of statistical terms. 2. Identify and describe various sampling methods. 3. Identify components of experimental and observational studies. 4. Identify uses and misuses of statistics. 5. Construct appropriate representations of data, such as tables (contingency tables and frequency distributions), and graphs (histograms, scatterplots, and boxplots), with and without technology. 6. Interpret and analyze various representations of data. 7. Calculate measures of center (mean, median, mode) with and without technology. 8. Calculate measures of variation (range, standard deviation, variance) with and without technology. 9. Identify various distributions (such as normal, uniform, skewed). Probability 10. Understand and use probability vocabulary in context. 11. Calculate probability for simple and compound events using both empirical data and sample spaces. 12. Select and use appropriate counting methods (fundamental counting rule, permutations, combinations). 13. Identify defining characteristics of discrete probability distributions. 14. Solve problems using discrete probability distributions, including binomial distributions. 15. Determine the mean and standard deviation of discrete probability distributions. 16. Identify defining characteristics of continuous probability distributions. 17. Solve problems using continuous distributions including uniform and normal distributions. 18. Apply the Central Limit Theorem to calculate the mean and standard deviation of sampling distributions and use these to solve probability problems. Inferential Statistics 19. Determine appropriate sizes of samples. 20. Generate confidence intervals for means and proportions. 21. Select and perform hypothesis tests for the mean of one population, proportion of one population, means of two populations, and proportions of two populations. 22. Use the chi-square distribution to perform a hypothesis test such as goodness-of-fit or test of independence. 23. Analyze two-variable data using scatter plots, linear correlation coefficients, and linear regression lines, using technology to calculate these items. 24. Determine whether there is a statistically significant linear correlation between two variables. Communication and General Skills 25. Communicate the results of data analysis clearly and precisely in both technical and non-technical words, including the use of the following: correct statistical vocabulary; graphical, symbolic, and numeric support for conclusions; indications of the strength and limitations of conclusions. 26. Engage in experiential learning of key concepts through classroom activities and/or projects. 27. Draw logical conclusions related to a specific problem by integrating the use of the following: sampling; summary statistics and presentation of data; and either confidence intervals, hypothesis tests or regression analysis as appropriate. DEGREE OUTCOMES 1. Quantitative & Symbolic Reasoning Students utilize mathematical, symbolic, logical, graphical, geometric, or statistical analysis for the interpretation and solution of problems in the natural world and human society. 2. Critical, Creative and Reflective Thinking Students will be able to question, search for answers and meaning, and develop ideas that lead to action. Apply appropriate statistical techniques to solve problems by analyzing data and drawing conclusions. Combine reason, experience, and information from this course, other courses, or earlier life experiences to: (a) determine methods of solution for problems, then (b) apply those methods, and finally (c) judge whether solutions are reasonable and significant. MATH& 146 - Statistics Spring 2017 Topic Outline Week Day Date Topic Text 1 1 2 3 4 5 4/03 4/04 4/05 4/06 4/07 Introduction Measures of Location Measures of Variation Grouped Data Continued 3.1, 3.2 3.3 2 1 2 3 4 5 4/10 4/11 4/12 4/13 4/14 Relative Standing Intro to Probability Conditional Probability Independence Continued 3.5 5.1 5.2, 3 5.3 5.4 3 1 2 3 4 5 4/17 4/18 4/19 4/20 4/21 Random Variables Binomial Distribution Continued Continued Normal Distribution 6.1 6.2 1 2 3 4 5 4/24 4/25 4/26 4/27 4/28 Continued Normal Approximation of Binomial Review 1 Exam 1 Central Limit Theorem 7.2 7.4 1 2 3 4 5 5/01 5/02 5/03 5/04 5/05 Estimating Means Continued Estimating Proportions Continued College In-Service – No Class 9. 2 1 2 3 4 5 5/08 5/09 5/10 5/11 5/12 Hypothesis Testing Continued Means Continued Small Samples 10.1 1 2 3 4 5 5/15 5/16 5/17 5/18 5/19 Continued Proportions Continued Two Populations Means 4 5 6 7 7.1 8.1 9.1 10.3 10.2 11.1, 3 11.1 8 9 10 11 1 2 3 4 5 5/22 5/23 5/24 5/25 5/26 Continued Proportions Continued Estimation vs. Hypothesis Tests Continued 1 2 3 4 5 5/29 5/30 5/31 6/01 6/02 Memorial Day Holiday – No Class Review 2 Exam 2 Correlation Continued 1 2 3 4 5 6/05 6/06 6/07 6/08 6/09 Regression Continued Analysis of Regression Continued Goodness of Fit 1 2 3 6/12 6/13 Continued Final Exam Review Final Exam 8:00 AM Class: Thursday, June 15, 8:00 – 9:50 AM 9:00 AM Class: Friday, June 16, 9:00 – 10:50 AM Note: Schedule subject to change as the quarter progresses. 11.3 4.2 14.2 14.3 12.1