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# RVCC MATH 110 - Course Outline

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OAA/je 1 3/29/2012 RARITAN VALLEY COMMUNITY COLLEGE ACADEMIC COURSE OUTLINE MATH 110 STATISTICS I I. Basic Course Information A. Course Number and Title: MATH 110 Statistics I B. New or Modified Course: Modified February 2012 C. Date of Proposal: Spring 2012 D. Sponsoring Department: Mathematics E. Semester Credit Hours: 3 F. Weekly Contact Hours: 3 Lecture: 3 Laboratory: 0 G. Prerequisites: MATH 030 Intermediate Algebra, or appropriate score on math placement test. H. Laboratory Fees: None I. Department Chair: Boualem Bendjilali [email protected] II. Catalog Description Prerequisites: MATH 030 Intermediate Algebra, or appropriate score on math placement test. This is a first course in statistics that introduces the student to the methods and uses of statistical research. Topics include descriptive displays and analysis, classical probability, the normal distribution, the sampling distribution of the mean, inferences concerning means p-values. III. Statement of Course Need This course serves as a math requirement for various A.S. and A.A. programs. This course will generally transfer as a mathematics course. This course also serves as a prerequisite for MATH 111, Statistics II. IV. Place of Course in College Curriculum A. This course serves is a free elective. B. This course serves as a General Education course in Mathematics.OAA/je 2 3/29/2012 C. This course meets a program requirement for various A.S. and A.A. degree programs. D. To see course transferability: a) for New Jersey schools, go to the NJ Transfer website, www.njtransfer.org; for all other colleges and universities, go to the individual websites. V. Outline of Course Content A. The Nature of Statistics B. Organizing Data 1. Sampling Techniques 2. Grouping Data 3. Histograms and other graphs 4. Stem and Leaf Diagrams C. Descriptive Measures for Univariate Data 1. Summation Notation 2. Measures of Central Tendency 3. Measure of Dispersion 4. Interpretation of Standard Deviation and Chebychev’s theorem 5. Grouped Data Formulas 6. Quartiles and Box-and-Whisker Diagrams 7. Parameters and Statistics D. Probability 1. Classical Probability 2. Rules of Probability 3. Mutually Exclusive Events 4. Conditional Probability 5. Independent Events E. Discrete Random Variables 1. Probability Distributions 2. The Mean and Standard Deviation of Discrete Random Variables 3. Bernoulli Trials and Binomial Coefficients 4. The Binomial Distribution F. The Normal Distribution 1. From Discrete to Continuous Random Variables 2. The Standard Normal Curve 3. Finding Areas Under the Normal Curve 4. Normally Distributed Random Variables G. The Sampling Distribution of the Mean 1. Random Sample and Sampling Error 2. The Mean and Standard Deviation of the Sample Mean 3. The Central Limit Theorem H. EstimationOAA/je 3 3/29/2012 1. Point and Interval Estimation of a Parameter 2. Constructing Confidence intervals for Population Means 3. The t-Distribution 4. Sample Size Considerations I. Hypothesis Testing 1. The Logic of Significance Tests – classical and p-value methods 2. Tests for Single Means J. Optional Topics: 1. Tests for Proportions 2. The Chi Square Distribution 3. Tests for goodness of fit VI. Educational Goals and Learning Outcomes A. General Education Goals Students will: 1. apply mathematical arguments to problems. Use appropriate methods of statistics for various analyses (GE-RVCC 1; NJ 2) 2. Solve problems quantitatively and symbolically (GE-RVCC 7; NJ 2) B. Learning Outcomes Students will be able to: 1. Use Synthesize descriptive methods of statistics for the purpose of organizing and summarizing data. (GE-NJ 2) 2. Interpret the meaning of summary measures (mean, median, mode, standard deviation, variance, quartile, percentile, range, minimum, maximum, outlier, etc.) within the context of problem. (GE-NJ 2) 3. Calculate the probability of an event using both discrete and normal distribution methods. (GE-NJ 2) 4. Use methods of Interpret results from inferential statistics to interpret data for the purposes of interval estimation in means and proportions. (GE-NJ 2) 5. Use methods of Interpret results from inferential statistics to interpret data for the purposes of decision-making in hypothesis tests of means. (GE-NJ 2) 6. Interpret a p-value within the context of the problem. (GE-NJ 2) VII. Modes of Teaching and Learning A. lecture/discussion B. small-group work C. computer-assisted instruction D. guest speakersOAA/je 4 3/29/2012 E. laboratory F. student oral presentations G. student collaboration H. independent study I. homework VIII. Papers, Examinations, and other Assessment Instruments A. teacher written tests B. computer/calculator lab projects C. semester projects D. final examination E. in-class quizzes IX. Grade Determinants A. tests B. quizzes C. homework D. projects E. labs F. cumulative final exam X. Texts and Materials A. Suggested textbook: Introductory Statistics, Alternate Windows Version, (latest edition). Neil A. Weiss. Pearson Addison-Wesley. B. Computer-based sources: The instructor is free to choose the type of technology. Choices include but are not limited to: 1. MINITAB 2. TI-84 graphing calculator 3. EXCEL 4. SAS 5. IBM SPSS Please Note: The course outline is intended only as a guide to course content and resources. Do not purchase textbooks based on this outline. The RVCC Bookstore is the sole resource for the most up-to-date information about textbooks. XI. Resources Because of the technology used in the course, classes should be held in a CATT room where the instructor can access both MINITAB and the web. MINITAB software needs to be available in S020, the open lab, and any other computer lab where students may be

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