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MAT 165 - Probability & Statistics


Credits: 4
4 Lecture Hours

Prerequisites: MAT 108  or Equivalent
 
Description
This is an introduction to statistical concepts and applications. Topics include descriptive methods, probability theory, probability distributions, sampling distributions, statistical inference, and linear regression and correlation. Computers and/or calculators are used for problem solving.
Learning Outcomes
Upon successful completion of the course, the student will:

  1. Summarize and interpret data by descriptive graphical and numerical methods.
  2. Find probabilities of events using the basic properties of probability theory.
  3. Construct and use probability distributions.
  4. Model certain types of chance phenomena by discrete and continuous probability distributions.
  5. Compute probabilities involving sample means and proportions by applying the Central Limit Theorem to their sampling distributions.
  6. Calculate confidence interval estimates of population means and proportions.
  7. Perform tests of hypotheses involving population means and proportions.
  8. Describe and test the significance of the relationship between two variables using simple linear regression.
  9. Use correlation analysis to assess the strength of the linear relationship between two variables
  10. Solve statistical problems found in practical application and in their major fields of study.
  11. Use appropriate technology for statistical computation, summarization and display as an aid to data analysis and interpretation.
Listed Topics
  1. Types of data, basic statistical concepts and terminology
  2. Descriptive statistics: tabular, graphical, and numerical methods
  3. Fundamental concepts and properties of probability
  4. Random variables and probability distributions
  5. Discrete probability distributions
  6. Continuous probability distributions
  7. Statistics, sampling, and sampling distributions
  8. Statistical inference about means and proportions: confidence interval estimation and hypothesis testing
  9. Statistical inference about means and proportions with two populations: confidence interval estimation and hypothesis testing
  10. Simple linear regression and correlation
Reference Materials
Each student will be required to have the textbook and calculator adopted and recommended by the Mathematics Department at the specific campus. If available, students will use the statistical computer software package located in the mathematics laboratory. Where applicable, resources on the Internet will be used.
Approved By: Sutin, Stewart Date Approved: 07/13/2006


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