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May 20, 2024
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MAT 165 - Probability & Statistics
Credits: 4
4 Lecture Hours
Prerequisites: MAT 108 or Equivalent
Description
This course is an introduction to foundational statistical concepts and applications. Students explore descriptive methods, probability theory, probability distributions, sampling distributions, statistical inference and linear regression and correlation. Students may make use of both computers and calculators to solve statistical problems, gaining experience with computational tools that are widely used in the analysis and interpretation of data.
Learning Outcomes
Upon successful completion of the course, the student will:
- Analyze data using descriptive graphical and numerical methods.
- Calculate probabilities of events using the basic properties of probability theory.
- Construct probability distributions.
- Interpret probability distributions.
- Evaluate certain types of chance phenomena by discrete and continuous probability distributions.
- Compute probabilities involving sample means and proportions by applying the Central Limit Theorem to their sampling distributions.
- Calculate confidence interval estimates of population means and proportions.
- Test null and alternative hypotheses involving population means and proportions.
- Apply simple linear regression to determine the significance of the relationship between two variables.
- Assess the strength of the linear relationship between two variables via correlation analysis.
- Solve statistical problems found in practical application and in their major fields of study.
- Choose appropriate technology for statistical computation, summarization and display as an aid to data analysis and interpretation.
Listed Topics
- Types of data, basic statistical concepts and terminology
- Descriptive statistics: tabular, graphical and numerical methods
- Fundamental concepts and properties of probability
- Random variables and probability distributions
- Discrete probability distributions
- Continuous probability distributions
- Statistics, sampling and sampling distributions
- Statistical inference about means and proportions: confidence interval estimation and hypothesis testing
- Statistical inference about means and proportions with two populations: confidence interval estimation and hypothesis testing
- Simple linear regression and correlation
Reference Materials
Each student is required to have the textbook and calculator adopted and recommended by the Mathematics Department at the specific campus. If available, students use the statistical computer software package located in the Math Cafe. Where applicable, resources on the internet are used
Students who successfully complete this course acquire general knowledge, skills and abilities that align with CCAC’s definition of an educated person. Specifically, this course fulfills these General Education Goals: - Critical Thinking & Problem Solving
- Quantitative & Scientific Reasoning
Approved By: Dr. Quintin B. Bullock Date Approved: 12/01/2023
Last Reviewed: 12/01/2023
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