Discipline: Mathematics Degree Credit  [X]
Non Credit  [ ]
Nondegree Credit  [ ]
Comm Service  [ ]
 

Riverside Community College District
Integrated Course Outline of Record

Mathematics 12


COURSE DESCRIPTION
12 Statistics Units: 3.00
 
Prerequisite(s): MAT 35: Intermediate Algebra
A comprehensive study of measures of central tendency and variation, the normal distribution, the t-distribution, the chi-square distribution, linear correlation, testing of hypotheses, probability, and estimation. 54 hours lecture.
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
A study of statistical methods and their application to hypothesis testing and estimation of population parameters.
 
ADVISORY ENTRY SKILLS
Before entering the course, students will be able to:
  1. Apply the basic operations of algebra on the set of real numbers, polynomials, rational and radical expressions.

  2. Solve linear, rational, quadratic, exponential, and radical equations.

  3. Find terms of sequences and sums of series.
STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

Organize sets of data and calculate a variety of statistics for a given set of data (e.g. mean, median, and variance).

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Construct sound arguments and evaluate arguments of others
  3. Critical Thinking - Recognize and assess evidence from a variety of sources
  4. Critical Thinking - Generalize appropriately from specific contexts
  5. Breadth of Knowledge - Understand the basic content and modes of inquiry of the major knowledge fields
  6. Breadth of Knowledge - Analyze experimental results and draw reasonable conclusions from them
  7. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  8. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Count the number of possible outcomes for various sequences of events, including permutations and combinations.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Recognize and assess evidence from a variety of sources

Use multiplication and/or addition rules to determine probabilities of events.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Critical Thinking - Integrate knowledge across a range of contexts
  4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  5. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Determine the probability distribution for discrete random variables, including binomial random variables.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  4. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Determine confidence interval estimates for population means, proportions, and variances.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Critical Thinking - Integrate knowledge across a range of contexts
  4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  5. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Perform hypothesis tests for one or two means, proportions, or variances.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Consider and evaluate rival hypotheses
  3. Critical Thinking - Generalize appropriately from specific contexts
  4. Critical Thinking - Integrate knowledge across a range of contexts
  5. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  6. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Calculate the Pearson product moment correlation coefficient and explain its significance.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  4. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Determine the regression equation and use it to make predictions.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Recognize and assess evidence from a variety of sources
  3. Critical Thinking - Generalize appropriately from specific contexts
  4. Critical Thinking - Integrate knowledge across a range of contexts
  5. Breadth of Knowledge - Analyze experimental results and draw reasonable conclusions from them
  6. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  7. Application of Knowledge - Maintain and transfer academic and technical skills to workplace
 
COURSE CONTENT
  TOPICS
 
  1. Introduction to statistics
  2. Organizing data
  3. Data summary and descriptions
  4. Counting and probability
  5. Probability distributions
  6. Normal probability distributions
  7. Interval estimates and sample sizes
  8. Hypothesis testing
  9. Correlation and regression
  10. Chi-square tests and analysis of variance

 
 
METHODS OF INSTRUCTION
 Methods of instruction used to achieve student learning outcomes may include, but are not limited to:

  • Class lectures, discussions, and demonstrations of organizing data, counting, determining probabilities and probability distributions, estimating and hypothesis testing, and the use of the regression equation.
  • Drills and pattern practices to assist students in mastering the calculation of statistics, probabilities, and confidence intervals, as well as hypothesis testing.
  • Employment of a variety of resources such as videos, slides, computer-based tools, manipulatives, and handouts in order to address multiple learning styles and reinforce material.
  • Small group activities in order to promote discovery and enhance problem solving skills.
 
METHODS OF EVALUATION
 Students will be evaluated for progress in and/or mastery of learning outcomes by methods of evaluation which may include, but are not limited to:

  • Written assignments designed to ensure the correct application of the methods used to analyze data and test hypotheses.
  • Quizzes and examinations designed to evaluate students’ calculations, estimates, hypothesis tests, and predictions.
  • Projects designed to demonstrate the correct application of the methods used to collect, organize, and analyze data. 
  • Classroom activities and discussions designed to ensure conceptual understanding of course content.
ASSIGNMENTS

Required Reading Assignments


Required Writing Assignments


Other Outside-of-Class Assignments
 
COURSE MATERIALS
 All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include:

  • Triola, Mario F. . Essentials of Statistics. 2nd ed. Addison Wesley, 2005.
  • Bluman, Allan G. . Elementary Statistics: A Step by Step Approach. 4th ed. McGraw-Hill, 2008.
  • Agresti, Alan and Franklin, Christine . Statistics. Pearson Prentice Hall, 2007.
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