統計学（通年コース）

This 26-week course provides in-depth instruction of the Introductory to Statistics topics to prepare students for a wide variety of study areas. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and course exercises. Although this is a formal class which will contain lecture portions, there will be time for questions and discussions within each session.  Additionally, this class is designed for students to interact with the material through guided investigations and activities.  

My teaching style combines lecture with examples and exercises completed both independently and with other students in the course.  Word problems are integrated throughout the sessions to teach logic, reasoning, and critical thinking.  Word problems also demonstrate a student’s ability to apply what they’ve learned to everyday, real life situations.  The class meets for two 50-minute sessions each week through the fall and spring semesters.  Students will have homework for each class and should plan on spending 30-45 mins on homework for each class session.  
Following are the topics by week for first and second semester:

Week Beginning:
Week 1.    Sampling and Data: Definitions of Statistics, Probability, Data, Sampling
Week 2     Frequency, Frequency Tables, Levels of Measurement
Week 3     Experimental Design, Ethics, Sampling Experiment
Week 4     Descriptive Statistics: Stem-and-Leaf Graphs, Line graphs, Bar Graphs, Histograms, Frequency Polygons
Week 5     Box plots, Measure of the center of data, skewness, Mean, Median, Mode, Spread
Week 6     Probability: Independent and mutually exclusive events, Rules of Probability
Week 7     Contingency Tables, Tree and Venn Diagrams
Week 8     Discrete Random Variables: Probability Distribution, Expected Value, Standard Deviation, Binomial   
Week 9    Geometric Distribution, Hypergeometric Distribution, Poisson Distribution
            Thanksgiving BREAK - NO CLASS (1 week)
Week 10     Continuous Random Variables: Continuous Probability Functions, Uniform Distribution
Week 11        Exponential Distribution, Continuous Distribution
Week 12    The Normal Distribution: Standard Normal, Using the Normal Distribution
          Winter BREAK - NO CLASSES (3 weeks)
Week 13      Central Limit Theorem: Sample Means, Sums
Week 14    Using the Central Limit Theorem, Theorem analysis
Week 15    Confidence Intervals: Single Population Mean, Population Proportion
Week 16    Confidence Interval analyses
Week 17      Hypothesis Testing (One-sample): Null and Alternative Hypotheses, Type 1 and Type II errors
Week 18      Distributions for Hypothesis Testing, Rare events, Sample, decision, and conclusion
Week 19    Hypothesis Testing (Two-sample): two population means with known and unknown Standard Deviation
Week 20       Comparing Two Independent Population Proportions, Matched pair samples
Week 21     The Chi-Square Distribution: Goodness of Fit Test, Test of Independence, Test of Homogeneity
         Spring BREAK - NO CLASS (2 weeks)
Week 22       Comparison of the Chi-Square Tests, Test of Single Variance
Week 23     Linear Regression and Correlation: Linear equations, Scatter Plots, Regression Equation 
Week 24     Correlation Coefficient, Prediction, outliers
Week 25    F-Distribution and One-Way ANOVA:  F-ration
Week 26   Test of Two-Variances, Facts about the F-Distribution