  
Student Learning Outcomes 
 Successful students will be able to carry out and critically assess all steps in a hypothesis test, from the design of the study and the collection of data to the production of a report which summarizes the data and the statistical findings.
 Successful students will be able to draw appropriate inferences from data in the presence of uncertainty.
 Successful students will be able to make predictions using linear and exponential models.

Description  
 The second of two 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:
 Analyze probability distributions.
 Investigate statistical inference.
 Apply techniques of statistical inference to a single proportion
 Apply techniques of statistical inference to the difference between two population proportions.
 Apply techniques of statistical inference to means.
 Apply techniques of statistical inference to categorical data.
 Apply techniques of statistical inference to multiple means.
 Use technology such as graphing calculators and/or computer software to assist in solving problems involving any of the topics in (A) through (G) above.
 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

Course Content (Body of knowledge)  
  Analyze probability distributions.
 Random variables
 Discrete distributions
 Mean
 Standard deviation
 Binomial
 Continuous distributions
 Equating areas with probabilities
 Empirical Rule
 Normal distribution
 Application problems from various disciplines
 Investigate statistical inference.
 Sampling distributions
 Mean
 Standard deviation
 Central Limit Theorem
 Logical reasoning
 Apply techniques of statistical inference to a single proportion.
 Confidence intervals
 Point estimate
 Interval estimate
 Margin of error
 Confidence level
 Interpretation
 Hypothesis tests
 Null hypothesis
 Alternate hypothesis
 Test statistic
 Pvalue
 Decision rule
 Interpretation
 Application problems from various disciplines
 Apply techniques of statistical inference to the difference between two population proportions.
 Confidence intervals
 Hypothesis tests
 Application problems from various disciplines
 Apply techniques of statistical inference to means
 Onesample confidence interval
 Twosample confidence interval
 Onesample Ttest
 Twosample Ttest
 Paired Ttest
 Application problems from various disciplines
 Apply techniques of statistical inference to categorical data.
 Chi square goodness of fit test
 Chi square tests for independence
 Chi square tests for homogeneity
 Apply techniques of statistical inference to multiple means.
 Oneway analysis of variance
 Pairwise comparisons
 Use technology such as graphing calculators and/or computer software to assist in solving problems involving any of the topics in (A) through (G) above.
 Use appropriate technology to approximate binomial probabilities.
 Use appropriate technology to approximate normal probabilities.
 Use appropriate technology to compute summary statistics.
 Use appropriate technology to approximate critical values.
 Use appropriate technology to approximate pvalues.
 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
 Project

Representative Text(s)  
 Brase, H. and C. Brase. Understandable Statistics: Concepts and Methods. 9th ed. Houghton Mifflin, 2009. 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. Carnegie Foundation. MyStatway. 2011.

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.
 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 suject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.
