MATH115 Elementary Statistics

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and Title
MATH115 Elementary Statistics
II. Number of Credits
3 credits
III. Minimum Number of Instructional Minutes Per Semester
2250 minutes
IV. Prerequisites
Math Placement Test score of 7 or better or MATH101 (C or better) or MATH103 (C or better) or MATH110 (C or better)
Corequisites
None
V. Other Pertinent Information
A written paper is required.
VI. Catalog Course Description
This course is primarily for business, science, liberal arts, and education majors. Topics studied include descriptive measures for empirical data, theory of probability, probability distributions, sampling distributions of statistics from large and small samples, estimation theory, hypothesis testing, correlation, and regression.
VII. Required Course Content and Direction
  1. Learning Goals:

    Course Specific:
    The student will be able to:
    1. develop the statistical skills needed to describe data sets using graphs and numerical summaries.
    2. use probability rules in problem solving.
    3. supply inferential statistical techniques in decision making.
    4. demonstrate the ability to apply and explain statistical applications to real life situations.

    Core Learning Goals:
    Category I:
    Math or Science:
    The student will able to:
    1. develop the ability to analyze, interpret, and apply quantitative information.

    Core Learning Objectives:
    Category I:
    Math or Science:
    The student will be able to:
    1. accurately translate descriptive problems into mathematical formulas and solve them.(1)

    Category III:
    Critical Thinking/Problem Solving:
    The student will be able to:
    1. Demonstrate an understanding of solving problems by:
      1. recognizing the problem
      2. reviewing information about the problem
      3. developing plausible solutions
      4. evaluating the results

      These skills are developed in VII.B. and VII.B.4.
  2. Planned Sequence of Topics and/or Learning Activities:

    1. Descriptive Statistics
      1. Sampling techniques
      2. Graphical displays (Histograms, Stem and Leaf displays, Box and Whisker plots and Frequency Polygons)
      3. Measures of Central Tendency
      4. Measures of Variation
      5. Measures of Position

    2. Probability
      1. Rules of probability
      2. Discrete and Continuous probability distributions, including Binomial, Normal, Chi-Square, and t-distribution
      3. Central Limit Theorem

    3. Inferential Statistics
      1. Sample size
      2. Confidence intervals
      3. Hypothesis testing (one and two samples)
      4. Chi-Square (test of independence and goodness of fit)

    4. Regression and Correlation
      1. Scatter plots
      2. Least Squares regression equation
      3. Correlation coefficient
  3. Assessment Methods for Core Learning Goals:

    All Core Critical Thinking and Problem Solving, College Level Mathematics or Science, and Discipline-Specific Course Objectives will be assessed as follows:

    The student will apply mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students and, for the core, formal assessment using open-ended questions reflecting theoretical and applied situations.

  4. Reference, Resource, or Learning Materials to be used by Students:

    Departmentally selected textbook, calculators. Details provided by the instructor of each course section. See Course Format.
VIII. Teaching Methods Employed
Lectures, recitation, problem solving, discussion, and group work.

Review/Approval Date - 3/06; Core Goals/Objectives added 12/04