Math 181-202: Elementary Statistics – Syllabus and Study Guide

Course Overview

This course, based on Elementary Statistics by Mario F. Triola (14th Edition), provides a comprehensive introduction to the fundamental concepts and methods of statistics. The curriculum covers data analysis, probability, distributions, estimation, hypothesis testing, and the examination of relationships between variables. Emphasis is placed on interpretation, data analysis, and the e of graphing calculators for statistical computations.

Course Structure and Grading

• Tests: 40%

• Homework: 20%

• Class Participation: 10%

• Cumulative Final Exam (Project): 30%

Homework is assigned weekly via MyStatLab. Four in-class tests and a final project are required. A graphing calculator (TI-83/84 or higher) is mandatory for this course.

Student Learning Outcomes

• Identify populations, samples, parameters, and statistics.

• Explain sampling methods and sources of bias.

• Distinguish between observational studies and experiments.

• Organize and describe data graphically and numerically.

• Compute measures of central tendency and variation.

• Standardize data using z-scores.

• Define and compute probabilities for discrete and continuous random variables.

• Apply the Central Limit Theorem and interpret sampling distributions.

• Construct and interpret confidence intervals and perform significance tests.

• Analyze relationships using scatterplots, correlation, and regression.

Course Topics and Schedule

Chapter 1: Introduction to Statistics

• Statistical and Critical Thinking

• Types of Data

• Collecting Sample Data

Chapter 2: Exploring Data with Tables and Graphs

• Frequency Distributions

• Histograms

• Graphs that Enlighten and Deceive

• Scatterplots

Chapter 3: Describing, Exploring, and Comparing Data

• Measures of Center

• Measures of Variation

• Measures of Relative Standing (z-scores)

Chapter 4: Probability

• Basic Concepts

• Addition and Multiplication Rules

• Complements and Conditional Probability

Chapter 5: Discrete Probability Distributions

• Probability Distributions

• Binomial Probability Distributions

Chapter 6: Normal Probability Distributions

• The Standard Normal Distribution

• Applications of Normal Distributions

• Sampling Distributions and Estimators

• The Central Limit Theorem

Chapter 7: Estimating Parameters and Determining Sample Sizes

• Estimating a Population Proportion

• Estimating a Population Mean

• Bootstrapping (Optional)

Chapter 8: Hypothesis Testing

• Basis of Hypothesis Testing

• Testing Claims about Proportions and Means

Chapter 10: Correlation and Regression

• Correlation

• Regression

• Coefficient of Determination (Optional)

Academic Policies and Support

• Academic Honesty: Cheating or plagiarism results in course failure and referral to the dean.

• Class Behavior: Professional, respectful conduct is required. Disruptive behavior is not tolerated.

• Support Services: Academic Innovation and Distance Education, IT Help Desk, and MathSpace are available for assistance.

Important Notes

• Use a graphing calculator for all computations where possible.

• Homework and test dates are subject to change; students are responsible for staying informed.

• Refer to the Student Handbook for detailed policies and procedures.