Mathematics 107 - Introduction to Probability and Statistics Fall, 2010 Dr. Evelyn C. Bailey; Dr. Edward R. Bailey; Dr. Ricardo Conceicao Text and materials: Elementary Statistics, 11th ed., Mario F. Triola; Calculator (TI-83, TI-83 PLUS, TI-84 or TI-84 PLUS recommended) Course Content: Visual displays of data, measures of central tendency and of variability, classification of data, counting, probability, Chebyshev’s Theorem, normal distribution, binomial distribution, Central Limit Theorem, hypergeometric distribution, Poisson distribution, Confidence Intervals, Hypothesis testing (means, proportions, variances), Simple linear regression and correlation, Analysis of Variance (one way), Chi Square Tests (Goodness-of-fit, Contingency Tables), Nonparametric methods (Wilcoxon [for independent samples], Kruskal Wallis, Spearman's rho). Emphasis is on inference. Goals: 1. Cognitive: At the end of this course students should be able to: (1) Categorize a data set; (2) Correctly work various simple probability problems; (3) Articulate the role of functions in statistics; (4) Describe major misuses of statistics, (5) Recognize several distributions and characterize them; (6) Analyze interval data for which statistical tests involving means, proportions, medians, rankings, and variances are the parameters; (7) Interpret relationships in bivariate data; (8) Discuss the difference between parametric and nonparametric statistics in relation to inherent assumptions of the general statistical model; (9) Recognize and explain the limitations of statistics; (10) Interpret the role of statistics in analyzing data and in inference; (11) Use a calculator for appropriate statistical tests; (12) Interpret statistical findings in relation to the situation from which the data was drawn, (13) Describe the experimental nature of mathematical statistics, (14) Draw inferences using the vocabulary of statistics. 2. Affective: (1) Students may choose to use suggested organizational guidelines, study skills and test-taking approaches. (2) Students will perform experiments and analyze the results by using appropriate statistical techniques. (3) Students will have the opportunity to react to articles (readings) related to statistical methods. (4) Group work for experiments will enable students to coordinate with others while completing a project and will enable students to develop problem-solving strategies.
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