Foothill CollegeApproved Course Outlines

Physical Sciences, Mathematics & Engineering Division
MATH 57INTEGRATED STATISTICS IISummer 2013
5 hours lecture.5 Units

Total Quarter Learning Hours: 60 (Total of All Lecture, Lecture/Lab, and Lab hours X 12)
 
 Lecture Hours: 5 Lab Hours: Lecture/Lab:
 Note: If Lab hours are specified, see item 10. Lab Content below.

Repeatability -
Statement: Not Repeatable.

Status -
 Course Status: ActiveGrading: Letter Grade with P/NP option
 Degree Status: ApplicableCredit Status: Credit
 Degree or Certificate Requirement: Certificate of Achievement,   Foothill GE
 GE Status: Communication & Analytical Thinking

Articulation Office Information -
 Transferability: CSUValidation: 1/11;11/16/11;11/27/12

1. 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, chi-square 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 freshman-level statistics.
Prerequisite: MATH 217.
Co-requisite: None
Advisory: Demonstrated proficiency in English by placement into ENGL 1A as determined by score on the English placement test or through an equivalent placement process; not open to students with credit in MATH 17.

2. Course Objectives -
The student will be able to:
  1. Analyze probability distributions.
  2. Investigate statistical inference.
  3. Apply techniques of statistical inference to a single proportion
  4. Apply techniques of statistical inference to the difference between two population proportions.
  5. Apply techniques of statistical inference to means.
  6. Apply techniques of statistical inference to categorical data.
  7. Apply techniques of statistical inference to multiple means.
  8. 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.
  9. Discuss mathematical problems and write solutions in accurate mathematical language and notation.
  10. Interpret mathematical solutions.
3. Special Facilities and/or Equipment -
  1. Graphing calculator
  2. Access to Microsoft Excel software

4. Course Content (Body of knowledge) -
  1. Analyze probability distributions.
    1. Random variables
    2. Discrete distributions
      1. Mean
      2. Standard deviation
      3. Binomial
      4. Application problems from various disciplines
    3. Chebyshev's Theorem
      1. Application problems
    4. Continuous distributions
      1. Equating areas with probabilities
      2. Empirical Rule
      3. Normal distribution
      4. Application problems from various disciplines
  2. Investigate statistical inference.
    1. Sampling distributions
      1. Mean
      2. Standard deviation
      3. Central Limit Theorem
    2. Logical reasoning
  3. Apply techniques of statistical inference to a single proportion.
    1. Confidence intervals
      1. Point estimate
      2. Interval estimate
      3. Margin of error
      4. Confidence level
      5. Interpretation
    2. Hypothesis tests
      1. Null hypothesis
      2. Alternate hypothesis
      3. Test statistic
      4. P-value
      5. Decision rule
      6. Interpretation
    3. Application problems from various disciplines
  4. Apply techniques of statistical inference to the difference between two population proportions.
    1. Confidence intervals
    2. Hypothesis tests
    3. Application problems from various disciplines
  5. Apply techniques of statistical inference to means
    1. One-sample confidence interval
    2. Two-sample confidence interval
    3. One-sample T-test
    4. Two-sample T-test
    5. Paired T-test
    6. Application problems from various disciplines
  6. Apply techniques of statistical inference to categorical data.
    1. Chi square goodness of fit test
    2. Chi square tests for independence
    3. Chi square tests for homogeneity
  7. Apply techniques of statistical inference to multiple means.
    1. One-way analysis of variance
    2. Pair-wise comparisons
  8. 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.
    1. Use appropriate technology to approximate binomial probabilities.
    2. Use appropriate technology to approximate normal probabilities.
    3. Use appropriate technology to compute summary statistics.
    4. Use appropriate technology to approximate critical values.
    5. Use appropriate technology to approximate p-values.
  9. Discuss mathematical problems and write solutions in accurate mathematical language and notation.
    1. Application problems from various disciplines
    2. Proper notation
  10. Interpret mathematical solutions.
    1. Explain the significance of solutions to application problems.
5. Repeatability - Moved to header area.
 
6. Methods of Evaluation -
  1. Written homework
  2. Quizzes
  3. Midterms or module exams
  4. Proctored comprehensive final examination
  5. Project
7. 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.
Martin-Gay. Green Intermediate Algebra: A Graphing Approach. 4th ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2009.
Carnegie Foundation. MyStatway. 2011.

8. Disciplines -
Mathematics
 
9. Method of Instruction -
  1. Lecture
  2. Discussion
  3. Cooperative learning exercises
 
10. Lab Content -
Not applicable.
 
11. Honors Description - No longer used. Integrated into main description section.
 
12. Types and/or Examples of Required Reading, Writing and Outside of Class Assignments -
  1. 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.
  2. Reading and study of the textbook, related materials and notes.
  3. 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.
  4. 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.
13. Need/Justification -
This course is a restricted support course for the Certificate of Achievement in Transfer Studies - CSU GE. This course also satisfies the mathematics proficiency requirement for the Foothill General Education Requirements.


Course status: Active
Last updated: 2014-03-21 20:28:50


Foothill CollegeApproved Course Outlines