  
Student Learning Outcomes 
 Students will investigate the center, shape, and spread of distributions from many relevant contexts.
 Students will develop conceptual understanding of populations, samples, and sampling distributions. They will demonstrate and communicate this understanding in a variety of ways, such as: reasoning with definitions and theorems, connecting concepts, and connecting multiple representations, as appropriate.
 Students will demonstrate the ability to calculate probabilities, descriptive statistics, and zscores.

Description  
 The first of two courses in the Statway sequence. Covers concepts and methods of statistics with an emphasis on data analysis. Topics include methods for collecting data, graphical and numerical descriptive statistics, correlation, simple linear regression, basic concepts of probability, confidence intervals and hypothesis tests for means and proportions, chisquare tests, and ANOVA. Application problems will be taken from the fields of business, economics, medicine, engineering, education, psychology, sociology and from culturally diverse situations. This sequence is recommended for students with majors that require no mathematics beyond freshmanlevel statistics.


Course Objectives  
 The student will be able to:
 Examine statistical studies and discuss an overview of the data analysis process.
 Analyze data graphically and numerically.
 Examine, use, and interpret bivariate data.
 Use and manipulate linear functions and expressions.
 Use and manipulate exponential functions and expressions.
 Compute basic probabilities.
 Use appropriate technology as a tool for doing statistics.
 Use appropriate statistical techniques to analyze and interpret applications based on data from disciplines including business, social sciences, psychology, life science, health science and education.

Special Facilities and/or Equipment  
  Graphing Calculator
 Access to Microsoft Excel software or the equivalent

Course Content (Body of knowledge)  
  Examine statistical studies and discuss an overview of the data analysis process.
 Types of statistical studies
 Observational
 Experimental
 Sampling methodologies and bias
 Simple random sampling
 Stratified sampling
 Systematic sampling
 Convenience sampling
 Experimental design
 Random assignment
 Lurking variables
 Confounding variables
 Data analysis process
 Formulate question
 Identify appropriate data
 Select an appropriate data collection strategy
 Collect, summarize, display data
 Draw a conclusion
 Interpret in context
 Vocabulary
 Variables
 Population
 Sample
 Quantitative
 Categorical
 Study
 Experiment
 Analyze data graphically and numerically.
 Graphical displays
 Bar charts
 Dot plots
 Histograms
 Box plots
 Measures of center
 Mean
 Median
 Mode
 Measure of variability
 Range
 Variance
 Standard deviation
 Measures of relative standing
 Percentiles
 Quartiles
 Comparing distributions
 Graphically
 Numerically
 Numeracy
 Ordering
 Comparing
 Estimating
 Rounding
 Units
 Proportional reasoning
 Unit analysis
 Rational numbers
 Square root of a number
 Exponents
 Solving equations
 Scientific notation
 Examine, use, and interpret bivariate data.
 Scatter plots
 Form
 Interpretations
 Residuals
 Correlation
 Strength
 Positive
 Negative
 Linear regression
 Interpretations
 Extrapolation
 Interpolation
 Linear and exponential models
 Interpret parameters
 Make predictions
 Multiple representations
 Tables
 Graphs
 Symbolic form
 Application problems
 Comparing models
 Residual Plots
 Use and manipulate linear functions and expressions
 1variable linear equations
 solve algebraically
 1variable inequalities
 graphs
 Linear Functions
 slope
 yintercept
 equation of a line y=mx+b
 Interpretations
 slope
 yintercept
 Use and manipulate exponential expressions and functions
 Indentify exponential expressions
 Apply properties of exponents
 Solve exponential equations
 graphically
 algebraically
 tables
 Graph exponential functions
 Compute basic probabilities
 Empirical probability
 Contingency tables
 Conditional probability
 Independence
 Dependence
 Probability rules
 Use appropriate technology as a tool for doing statistics.
 Computer lab assignments
 Excel
 Discuss mathematical problems and write solutions in accurate mathematical language and notation.
 Application problems from various disciplines
 Proper notation
 Interpret mathematical solutions.
 Explain the significance of solutions to application problems

Methods of Evaluation  
  Written homework
 Quizzes
 Midterms or module exams
 Proctored comprehensive final examination

Representative Text(s)  
 Carnegie Foundation. www.MyStatway.org, 2011. Richelle M. Blair.Introductory Algebra. Boston: Pearson Addison Wesley, 2006. The Consortium for Foundation Mathematics, Mathematics in Action: an Introduction to Algebraic, graphical, and numerical problem solving. 3rd edition. Boston: Pearson Addison Wesley, 2008. MartinGay, Green. Intermediate Algebra: A Graphing Approach, 4th ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2009. Brase, H. and C. Brase. Understandable Statistics: Concepts and Methods. 9th ed. Houghton Mifflin, 2009.

Disciplines  
 Mathematics


Method of Instruction  
  Lecture
 Discussion
 Cooperative learning exercises


Lab Content  
 Not applicable.


Types and/or Examples of Required Reading, Writing and Outside of Class Assignments  
  Homework Problems: Homework problems covering subject matter from text and related material ranging from 30  60 problems per week. Students will need to employ critical thinking in order to complete assignments.
 Lecture: Ten hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
 Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems, write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of Excel.
 Worksheets: Problems and activities covering the subject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.
