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FLORIDA STATE COLLEGE AT JACKSONVILLE COLLEGE CREDIT COURSE OUTLINE COURSE NUMBER STA 2023 COURSE TITLE: Elementary Statistics PREREQUISITE(S): MGF 1107, MGF 1106 or MAC 1105 with a grade of “C” or better. COREQUISITE(S): None CREDIT HOURS: 3 CONTACT HOURS/WEEK: 3 CONTACT HOUR BREAKDOWN: Lecture/Discussion: Laboratory: Other __________: 3 FACULTY WORKLOAD POINTS: 3 STANDARDIZED CLASS SIZE ALLOCATION: 25 CATALOG COURSE DESCRIPTION: This course is designed to introduce students to the fundamentals of descriptive and inferential statistics with a pronounced emphasis on inference. The major topics include methods for analyzing sets of data, probability, probability distributions, estimation, confidence intervals, hypothesis testing, simple linear regression and correlation. Students with a grade of “C” or better in MGF 1106 satisfy the prerequisite. SUGGESTED TEXT(S): Larson, Elementary Statistics, Pearson -Education (Prentice Hall); ISBN 0-13-17752-0; 0-13-014522-X; Current ed. Bloman, Elementary Statistics, McGraw-Hill; ISBN 0-07-231694-2; Current ed. Triola, Elementary Statistics, Addison-Wesley; ISBN 0-201-61477-4 Freund, Modern Elementary Statistics; Pearson Educational (Prentice Hall); ISBN 0-13-017701-6; Current Ed. IMPLEMENTATION DATE: Fall Term, 1996 (971) REVIEW OR MODIFICATION DATE: Fall Term, 1999 Fall Term, 2002 (20031) Spring Term, 2005 (20052) Spring Term, 2007 (20072) – Gordon Rule Status Change Spring Term, 2012 (20131) GER Review 2012 Fall Term, 2015 (20161) – Outline Review 14-15 1 COURSE TOPICS I. Introduction A. B. C. D. II. C. D. III. IV. C. D. E. F. V. 7 Types of Random Variables Discrete Probability Distributions 1. Probability 2. Mean and Standard Deviation Binomial Distributions 1. Probability 2. Mean and Standard Deviation Continuous Distributions The Normal Distributions Applications of the Normal Distributions Sampling and Sampling Distributions A. B. C. VI. 6 Counting, Sets and Events Permutations and Combinations Odds (optional) Some Rules of Probability Conditional Probability Probability Distributions A. B. 3 Measures of Central Tendency (1D2) Properties and Interrelationships Among Mean, Median, and Mode Measures of Variation (Dispersion) Interpretation of Standard Deviation 1. Chebyshev's Theorem 2. Empirical Rule Probability A. B. C. D. E. 3 Population and Sample Types of Data Frequency Distributions Graphical Presentations Methods for Analyzing Sets of Data A. B. CONTACT HOURS __PER TOPIC__ Random Sampling Sampling Distributions Central Limit Theorem Estimation and Confidence Intervals A. B. 3 4 Estimation Confidence Intervals 2 CONTACT HOURS __PER TOPIC__ COURSE TOPICS C. VII. B. C. D. E. XI. XII. 3 Scatter Diagrams Method of Least Squares Simple Linear Regression 3 Chi-Square Distribution Goodness-of-Fit Independence Test Analysis of Variance (optional) A. B. 3 Coefficient of Correlation Interpretation of Correlation Significance Test Chi Square Procedures A. B. C. 8 Tests Concerning One Mean 1. Large Sample 2. Small Sample Tests Concerning Proportion Tests Concerning Standard Deviation (optional) Tests Concerning Two Means 1. Dependent Samples 2. Independent and Large Samples Tests Concerning Two Proportions Linear Regression A. B. C. X. Mean Proportion Correlation A. B. C. IX. For Large Sample Mean For Small Sample Mean Proportion Hypothesis Testing A. VIII. 1. 2. 3. Sample Size 1. 2. 2 F Distribution One-way ANOVA Nonparametric Procedures (optional) 2 Any of the Following: A. Sign Test B. Rank Sum Test C. Runs Test for Randomness 3 Florida State College at Jacksonville Course Learning Outcomes and Assessment SECTION 1 Semester Credit Hours (Credit): Contact Hours (Workforce): Course Prefix and Number: STA 2023 Course Title: Elementary Statistics 3 SECTION 2a (To be completed for General Education courses only.) TYPE OF COURSE (Place an “X” in the box next to those that are applicable.) X General Education Core (If selected, core discipline area will be identified in Section 4.) General Education (If selected, you must also complete Section 4, Section 5, and Section 8) SECTION 2b TYPE OF COURSE (Place an “X” in the box next to those that are applicable.) A.A. Elective A.S. Required Course A.S. Professional Elective A.A.S. Required Course A.A.S. Professional Elective Technical Certificate PSAV/Clock Hour/Workforce Upper Division/Bachelors Development Education Apprenticeship Other: If selected, use this space to title “other” option. SECTION 3 INTELLECTUAL COMPETENCIES (Place an “X” in the box next to those that are applicable.) Reading Speaking Writing Listening X Critical Analysis X Information Literacy Qualitative Skills Ethical Judgement Scientific Method of Inquiry Working Collaboratively SECTION 4 (To be completed for General Education courses only.) GENERAL EDUCATION DISCIPLINE AREA (Place an “X” in the box next to those that are applicable.) Communications Humanities Mathematics Social and Behavioral Sciences Natural Sciences SECTION 5 (To be completed for General Education courses only.) GENERAL EDUCATION LEARNING OUTCOME AREA (Place an “X” in the box next to those that are applicable.) Communication X Critical Thinking Information Literacy X Scientific and Quantitative Reasoning Global Sociocultural Responsibility SECTION 6 LEARNING OUTCOMES TYPE OF OUTCOME (General Education, Course or Program) Students will identify the nature of mathematical problems Gen. Ed / Discipline Students will formulate /translate problems into mathematical language Gen. Ed / Discipline Students will use various mathematical methods to correctly solve problems Gen. Ed / Discipline Students will use critical thinking in interpreting data and/or drawing conclusions from the results of a mathematical problems Gen. Ed / Discipline METHOD OF ASSESSMENT Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department 4 SECTION 6 (Continued) LEARNING OUTCOMES Students will use technology as appropriate in analyzing data or solving mathematical problems Students will be able to represent and explain mathematical information graphically verbally numerically and symbolically TYPE OF OUTCOME (General Education, Course or Program) Gen. Ed / Discipline Discipline Determine the difference between population and sample data. Course Construct frequency distributions and graphical presentations. Course Use various descriptive statistical methods to analyze sets of data. Course Use probability rules to solve basic probability problems. Course Solve problems involving discrete probability distributions including the binomial probability distribution. Course Solve problems involving the normal probability distribution. Course Construct confidence intervals from sample data. Course Conduct tests of hypotheses with one and two samples. Course METHOD OF ASSESSMENT Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Curriculum-embedded multiple choice questions from a standard test-bank developed by the department Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. 5 SECTION 6 (Continued) LEARNING OUTCOMES Use correlation and linear regression methods to analyze data. TYPE OF OUTCOME (General Education, Course or Program) Course METHOD OF ASSESSMENT Students complete in-class, out-of-class, or online assignments that may include one or more of the following: homework, quizzes, tests, oral or written presentations, article critiques, reports/minute papers, portfolios, or projects. SECTION 7 Faculty name(s): Matthew Mitchell Date: 2/23/2011 CS20150615 6 SECTION 8 (To be completed for General Education Courses only.) KNOWLEDGE AND VALUE (Place an “X” in the box to indicate primary or secondary option.) KNOWLEDGE Global and Historical Knowledge and Understanding Comprehends a general knowledge of the nature, origins and contributions of major civilizations Comprehends the workings and interrelations of personal, business and government economies Comprehends political, social and economic systems and their effects upon society Primary Secondary N/A X X X Cultural and Aesthetic Knowledge and Understanding Comprehends the contributions of the arts and humanities to the human experience on a personal, national or global level Comprehends the historical development of the arts and sciences Comprehends religious and cultural systems and their effects upon society Primary Human Awareness and Understanding Comprehends the dynamics of human behavior and the process of increasing self-awareness, growth and development Comprehends the stages of human development and the dynamics of human relationships in diverse cultures Comprehends the factors that promote physical, mental and social well-being Primary Mathematics, Science and Technology Comprehends the basic concepts and investigative processes of the natural sciences Comprehends the breadth, significance and development of the mathematical sciences Comprehends the ways science and technology have shaped and continue to reshape human cultures and the environment Primary Secondary N/A X X X Secondary N/A X X X Secondary N/A X X X VALUE Description Primary Intellectual honesty Curiosity and openness to new ideas Recognition of one’s own creative potential Acceptance of and respect for differences among people and cultures Civic Engagement Lifelong Learning Secondary X X N/A X X X X X SECTION 9 Faculty name(s): Matthew Mitchell Date: 2/23/2011 CS20150615 7