INTRODUCTION TO STATISTICS - MATH 1401 (3 Credit Hours)
Syllabi by Instructor:
Description: A course in basic statistics. Topics include descriptive statistics, probability, distributions, hypothesis testing, inferences, correlation, and regression.
Prerequisites: Math 1101 Math Modeling, 1111 College Algebra, or 1113 Precalculus or approved equivalent
Course Structure:
- Unit 1. Introduction
- Terminology
- Methods of data collection
- Uses and abuses of statistics
- Unit 2. Descriptive Statistics
- Methods of organizing and describing data
- Frequency tables and stem-and-leaf diagrams
- Graphical representations of data
- Measures of central tendency
- Measures of variation
- Measures of position
- Methods of organizing and describing data
- Unit 3. Probability
- The rules of probability
- Counting principles
- Unit 4. Probability Distributions
- An introduction to random variables, discrete and continuous probability distributions
- Normal probability distributions
- Binomial distributions
- Central limit theorem
- Unit 5. Inferential Statistics
- Point estimates and confidence intervals
- Determining sample size
- Hypothesis testing
- Regression analysis
Course Objectives:
- Identify and apply appropriate methods of data collection.
- Effectively communicate quantitative concepts and results.
- Use graphical and numeric techniques to describe data.
- Develop an understanding of the concept of probability and the relationship of probability and statistics.
- Develop an understanding of the various probability distributions.
- Use the appropriate method for estimating values of population parameters.
- Use the appropriate method to test population parameters.
- Use appropriate technology to determine whether a linear relationship exists between two variables.
- Extract quantitative data from a given situation, translate the data, evaluate information, abstract essential information, make logical deductions, and arrive at reasonable conclusions.
Also Required:
TI-83 Plus or TI-84 Plus Graphing Calculator