El Camino College - Division of Mathematical Sciences

Math 150
Elementary Probability and Statistics
4 units - 4 hours lecture

Catalog Description Course Objectives and Methods of Evaluation
Outline of Subject Matter Planned Instructional Activities

Grading Method: Letter

Associate Degree Credit --- Transfers to CSU and Transfers to UC

Prerequisite: Mathematics 70 with a minimum grade of C or qualification by testing (El Camino College Mathematics Placement Test) and assessment.

Catalog Description:
  This course includes calculation and analysis of statistical parameters with hand-held calculator and with statistical software for personal computers. Topics covered include measures of central tendency and variability, normal and binomial distributions, sets, intervals, hypothesis testing, chi-square analysis, analysis of variance, linear regression and correlation, and non-parametric tests.
Note: Mathematics 150 was formerly numbered Mathematics 7.

Course Objectives and Methods of Evaluation:

  1. Course objectives (list the major objectives stated as student outcomes in behaviorally measurable terms.)
    1. Describe the various types of data and sampling techniques.
    2. Draw histograms, frequency distributions, stem and leaf plots and pie charts to graphically describe data.
    3. Calculate the measures of central tendency, variation and position from a given set of data.
    4. Calculate the probability of a given event.
    5. Find confidence interval estimates of various parameters.
    6. Perform parametric and non-parametric hypothesis tests using the classical and probability (P-value) methods.
    7. Calculate the regression line and correlation coefficient for a given set of bivariate data.
    8. Perform selected tasks (corresponding to #1 through #8 above) using statistical software.
  1. Methods of Evaluation - Associate Degree Credit Course
    1. Substantial writing assignments are inappropriate for this degree applicable course because:
      1. The course primarily involves skill demonstrations or problem solving.
    2. Computational or non-computational problem-solving demonstrations, including:
      1. Exam
      2. Quizzes
      3. Homework Problems

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Outline of Subject Matter
 

Approximate Time

Major Topic

6 hours

I. The Nature of Probability and Statistics

4 hours

II. Frequency Distributions and Graphs

6 hours

III. Data Description

12 hours

IV.  Probability

6 hours

V.  Probability Distributions

6 hours VI. The Normal Distribution
6 hours VII. Confidence Intervals and Sample Size
6 hours VIII. Hypothesis Testing
4 hours IX. Testing the difference between mean and proportions
4 hours X. Correlation and Regression
2 hours XI. Chi-squared
2 hours XII. Analysis of Variance
4 hours XIII. Non Parametric Statistics

 8 hours

Examinations

Total:

72 Hours

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Planned Instructional Activities:

Lecture, discussion, individual and group work

Entrance Skills and Knowledge:

List the required skills and/or knowledge without which a student would be highly unlikely to receive a grade of A, B, C, or Credit (or for Health and Safety, would endanger self or others) in the Target Course.
  1. Solve LInear and Literal Equations at the Intermediate Algebra level.
  2. Graph LInear Functions at the Intermediate Algebra level.
  3. Solve Application problems at the Intermediate Algebra level.
  4. Perform numerical calculations involving powers and roots..
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Source of information: Course Outline of Record dated October, 1998


 Last Updated On: 4/20/06