ࡱ> Y[Xg Gbjbjؒؒ 4X j j x\ \ 8;uKaaaa<"^ j$_!$r<<rraa/nnnraanrnnna0jnE0un'%^|'%nnn'%rrnrrrrrrrrurrrr'%rrrrrrrrr\ Y : Approved: June 2025 Effective: Fall 2025 MATERIAL TO BE COVERED TEXT TIME LINE Introduction to Statistics: Sampling, Types of Data, Design of Experiments, Bias in Studies, Graphical Summaries of Qualitative Data, Frequency Distributions and Graphs of Quantitative Data, Misleading Graphs, Measures of Center, Variability and Position Chapter 1, 2 & 3 5 Hours Probability: Basic Ideas, the Addition Rule and Rule of Complements, Conditional Probability and the Multiplication Rule (Optional: Probabilities through simulations, Counting, Bayes Theorem) 4.1 - 4.3 Optional 4.44.5 4 Hours Discrete Probability Distributions: Random Variables, Binomial Distribution (Optional: Poisson Distribution) 5.1 - 5.2 Optional 5.3 Optional: 5.5 4 Hours Normal Distribution: Standard Normal Curve, Applications of the Normal Distribution, Sampling Distributions and the Central Limit Theorem, Assessing Normality, Normal Approximation to the Binomial Distribution (See Supplement) 6.1 - 6.6 4 Hours Confidence Intervals and Sample Size with One Sample: Proportions and Mean (Optional: Standard Deviation or Variance) 7.1 - 7.2 Optional 7.3 4 Hours Hypothesis Testing with One Sample: Proportions and Mean; P-value & Critical Value methods; Type I & Type II errors (Optional: Standard Deviation or Variance) (Optional: standard deviation & variance) 8.1 - 8.3 Optional 8.4 5 Hours Hypothesis Testing with Two Samples: Comparing Two Proportions and Two Means (Dependent and Independent Samples) (Optional: Standard Deviations or Variances, and Confidence Intervals) 9.1 - 9.3 Optional 9.4 5 Hours Correlation and Regression: Linear Correlation, Linear Regression. (Optional: Variation, Multiple and Nonlinear Regression, Modeling) 10.1 - 10.2 Opt. 10.3-10.5 2.5 Hours Applications of Chi Square: Multinomial Experiments, Contingency Tables, Goodness of Fit, Tests for Independence and Homogeneity (Optional: McNemar's Test) 11.1 - 11.2 2.5 Hours One Way Analysis of Variance (ANOVA) 12.1 2.5 Hours Optional: Nonparametric Statistics Chapter 13 3-unit class: hours total 42.5 (15 x 2 hours 50 minutes) hours for exams + 2.5 hour final This outline allows for 4 hours of exams. NOTE: The course will include an introduction to the use of computers in statistics. Instructors are encouraged, where practical, to incorporate computer demonstrations and computer assignments in their courses. Between 10% and 15% of the course grade should be based on the students' ability to appropriately use computer software, interpret the results and turn in homework. The software used in the class will be determined by the instructor. Approximately 5% of the course grade should be based on a project involving a deep exploration of an application of statistics, or a study using statistical analysis devised and conducted by the student. Since this is an Honors class, topics should be presented in more depth and should include many current real world applications. 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