Westchester Community College Statistics Course Requirements Summer 2015 Professor Ted Cann Email: tcann290@gmail.com Website: tcann.wikispaces.com Office Hours: before class by appt. TEXTBOOK: Introductory Statistics 9th Edition, Neil A. Weiss, Pearson, Addison-Wesley, 2012 PREREQUISITES: One College Level Math Course or Appropriate Score on Placement Test CALCULATOR: TI-83 or TI-84 calculator families. Some exam questions may be based on the use of this calculator. No cell phones, smart phones, no computers of any kind, no TI-89 or TI-92 or Hewlett Packard or any other “self-integrating and differentiating” calculators are permitted during exams. Please bring your calculator to each class. During exams calculators may NOT be borrowed from other students. ATTENDANCE: Attendance will be taken each class. Any student who is absent at most two times will have their lowest test grade dropped. CLASS PARTICIPATION: Please come to each class prepared with your textbook, notebook (preferably a graph notebook), worksheets and calculator. Preparedness is essential to participation. Please be prepared to participate in class at all times. Your grade will reflect your preparedness and participation. CELL PHONES, SMART-PHONES, LAPTOPS, AND NOTEBOOK COMPUTERS: to maintain a courteous, undistracted educational environment and as a respectful gesture to myself and all others, all such devices must be turned off during class; no sending or receiving text messages, phone calls or e-mails during class. Exceptions are allowed only for students who have had a conversation in advance of any device usage. LATENESS: Please arrive to class on time and be ready to learn. Lateness is a distraction to the class as a whole. Three times late equals one time absent. HOMEWORK ASSIGNMENTS: Homework will be assigned at every class session. Be prepared to hand in your work for a grade at any time. This may or may not be announced in advance. Students are expected to dedicate 2 hours of study/practice outside of class for each hour of seat time. TESTS: Tests will be scheduled with a reasonable amount of notice. Therefore, there will be no make-ups allowed. GRADING POLICY: Cumulative Final Exam Tests Quizzes/ Technology Assignments Attendance/Participation 20% 40% 30% 10% COURSE WITHDRAWAL: Any student may withdraw from this course with a grade of W at any time until Monday, July 20, 2015. After then, a student who does not complete the course will receive a grade of F. The grades of WP, WF, and Incomplete are awarded only in exceptional circumstances beyond the student’s control. This is in full compliance with WCC policy. STUDENT LEARNING OUTCOMES (SLOs) and COURSE OBJECTIVES SLO/Objectives - Upon successful completion, the student will be able to: SLO1: The student will become acquainted with the language, philosophy, and methodology of statistics. 1. Use appropriate vocabulary and terminology to express ideas and conclusions while performing descriptive and inferential statistics. 2. Solve probability and statistics problems by using correct mathematical symbols, formulas and expressions. 3. Choose appropriate methods to solve problems in probability, descriptive and inferential statistics. SLO2: The student will achieve competence in the manipulation and computation of mathematical formulas. 1. Choose appropriate formulas to solve application problems in statistics. 2. Understand how a mathematical formula is derived. 3. Use technology, such as TI graphing calculators to efficiently compute numerical results that involve mathematical formulas. 4. Know the meaning of an approximated result from the exact result of a computation. SLO 3: The student will achieve a basic understanding of probability and its application to statistical inference. 1. Understand the meaning of probability values and know how to calculate these values. 2. Understand the concepts of probability distributions and sampling distributions, as well as being able to work with key distributions. 3. Be able to use the graphing calculator to compute the probability for the Binomial, the Normal, the T and the Chi Square Distributions. SLO4: Select and perform the appropriate hypothesis tests for a variety of problems and interpret the results 1. Be able to find and interpret confidence intervals for one and two population means, where the population standard deviation is known, versus when it is unknown. 2. Be able to find and interpret confidence intervals for one population proportion. 3. Know how to conduct hypothesis tests in regard to testing one and two population means, both when the population standard deviation is known and when it is unknown. 4. Perform hypothesis tests for one population proportion, the Goodness-of-Fit test and the Chi-Square Independence test. 5. Understand how to perform linear regression with one independent variable. SLO5: The student will develop competency in using technology to perform statistical inferences. 1. Be able to use the graphing calculator to find confidence intervals and to perform various hypothesis tests. FOR SUNY General Education (GE) courses: If this is a general education course, indicate how the course is meeting the SUNY General Education requirement for the discipline. SUNY GE Outcomes (see Appendix A) SUNY GE 1: Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics. SUNY GE 2: Represent mathematical information symbolically, visually, numerically and verbally. SUNY GE 3: Employ quantitative methods such as, arithmetic, algebra, geometry, or statistics to solve problems. SUNY GE 4: Estimate and check mathematical results for reasonableness. SUNY GE 5: Recognize the limits of mathematical and statistical methods. This outcome will be measured by one or more of the following: homework, class participation, quizzes, tests, projects, final exam. homework, class participation, quizzes, tests, projects, final exam. homework, class participation, quizzes, tests, projects, final exam. homework, class participation, quizzes, tests, projects, final exam. homework, class participation, quizzes, tests, projects, final exam. Related Course SLO and Measure SLO 2, 3, 4 SLO 1, 2, 3, 4, 5 SLO 1, 2, 3, 4, 5 SLO 1, 2, 3, 4 SLO 2, 3, 4 STATISTICS- TOPIC OUTLINE PART I - INTRODUCTION Chapter 1 The Nature of Statistics 1.1 Statistics Basics 1.2 Simple Random Sampling 1.3 Other Sampling Designs* 1.4 Experimental Designs* PART II - DESCRIPTIVE STATISTICS Chapter 2 Organizing Data 2.1 Variables and Data 2.2 Organizing Qualitative Data 2.3 Organizing Quantitative Data 2.4 Distribution Shapes 2.5 Misleading Graphs* Chapter 3 Descriptive Measures 3.1 Measures of Center 3.2 Measures of Variation 3.3 The Five-Number Summary; Boxplots 3.4 Descriptive Measures for Populations; Use of Samples PART III - PROBABILITY, RANDOM VARIABLE Chapter 4 Probability Concepts 4.1 Probability Basics 4.2 Events 4.3 Some Rules of Probability 4.4 Contingency Tables; Joint and Marginal Probabilities* 4.8 Counting Rules* Chapter 5 Discrete Random Variables* 5.1 Discrete Random Variables and Probability Distributions 5.2 The Mean and Standard Deviation of a Discrete Random Variable 5.3 The Binomial Distribution 5.4 The Poisson Distribution* Chapter 9 Hypothesis Tests for One Population Mean 9.1 The Nature of Hypothesis Testing 9.2 Critical Value Approach to Hypothesis Testing 9.3 P-Value Approach to Hypothesis Testing 9.4 Hypothesis Tests for One Population Mean When σ is Known 9.5 Hypothesis Tests for One Population Mean When σ is Unknown 9.6 Wilcoxon Signed-Rank Test* 9.7 Type II Error Probabilities; Power* 9.8 Which Procedure Should Be Used* Chapter 10 Inferences for Two Population Means 10.1 The Sampling Distribution of the Difference between Two Sample Means for Independent Samples 10.2 Inferences for Two Population Means, Using Independent Samples: Standard Deviations Assumed Equal 10.3 Inferences for Two Population Means, Using Independent Samples: Standard Deviations Not Assumed Equal 10.4 The Mann—Whitney Test* 10.5 Inferences for Two Population Means, Using Paired Samples* Chapter 14 Descriptive Methods in Regression and Correlation 14.1 Linear Equations with One Independent Variable 14.2 The Regression Equation 14.3 The Coefficient of Determination 14.4 Linear Correlation Chapter 16 Analysis of Variance (ANOVA) 16.1 The F-Distribution* 16.2 One-Way ANOVA: The Logic* 16.3 One-Way ANOVA: The Procedure* 16.4 Multiple Comparisons* 16.5 The Kruskal—Wallis Test* Chapter 6 The Normal Distribution 6.1 Introducing Normally Distributed Variables 6.2 Areas Under the Standard Normal Curve 6.3 Working with Normally Distributed Variables 6.4 Assessing Normality; Normal Probability Plots 6.5 Normal Approximation to the Binomial Distribution* Chapter 12 Inferences for Population Proportions 12.1 Confidence Intervals for One Population Proportion 12.2 Hypothesis Tests for One Population Proportion 12.3 Inferences for Two Population Proportions* Chapter 7 The Sampling Distribution of the Sample Mean 7.1 Sampling Error; the Need for Sampling Distributions 7.2 The Mean and Standard Deviation of the Sample Mean 7.3 The Sampling Distribution of the Sample Mean Chapter 13 Chi-Square Procedures 13.1 The Chi-Square Distribution 13.2 Chi-Square Goodness-of-Fit Test 13.3 Contingency Tables; Association 13.4 Chi-Square Independence Test 13.5 Chi-Square Homogeneity Test* PART IV - INFERENTIAL STATISTICS Chapter 8 Confidence Intervals for One Population Mean 8.1 Estimating a Population Mean 8.2 Confidence Intervals for One Population Mean When σ is Known 8.3 Margin of Error 8.4 Confidence Intervals for One Population Mean When σ is Unknown PART V - REGRESSION, CORRELATION AND ANOVA * Indicate Optional Topics Grade Calculation Since this is a weighted system, it is not as simple as adding the points you earned and dividing by total points. Use the table below as a guide for grade computation or visit: tcann.wikispaces.com Quiz Points Earned Points Total Sums: Quiz Average (quotient of sums above) = __________ (convert to %) Tests Points Earned Points Total Sums: Test Average (quotient of sums above) = __________(convert to %) Final Exam Score= ______/100 Participation= ______/10 If you are eligible to drop a test grade, then the breakdown would be as follows: Tests Quizzes/ Technology Assignments Attendance/Participation 60% 30% 10% where the three strongest scores from Test 1, 2, 3 and the Final are plugged into the “Tests” table above. Then you can compute your final average by multiplying your test average by 0.6, your quiz average by 0.3, and adding those two values together with your participation grade. If you are NOT eligible to drop a test grade, then the breakdown will be as follows: Cumulative Final Exam Tests Quizzes/ Technology Assignments Attendance/Participation 20% 40% 30% 10% In this case you will compute your final average by multiplying your final exam grade by 0.2, your test average by 0.4, your quiz average by 0.3, and adding those two values together with your participation grade.