Loyola University Chicago

Mathematics and Statistics

STAT 103: Fundamentals of Statistics

Course Details
Credit Hours: 3
Prerequisites:

None. Fulfills CORE Quantitative Analysis requirement.

Description:  An introduction to statistical reasoning. Students learn how statistics has helped to solve major problems in economics, education, genetics, medicine, physics, political science, and psychology. Topics include: design of experiments, descriptive statistics, mean and standard deviation, the normal distribution, the binomial distribution, correlation and regression, sampling, estimation, and testing of hypothesis.

C.H. Brase and C.P. Brase. Understanding Basic Statistics, 7th ed (WebAssign eBook). Cengage.

Chapter 1: Getting Started
   1.1    What Is Statistics?
   1.2    Random Samples
   1.3    Introduction to Experimental Design
Chapter 2: Organizing Data
   2.1    Frequency, Distributions, Histograms, and Related Topics
   2.2    Bar Graphs, Circle Graphs, and Time-Series Graphs
Chapter 3: Averages and Variation
   3.1    Measures of Central Tendency: Mode, Median, and Mean 
   3.2    Measures of Variation
   3.3    Percentiles and Box-and-Whisker Plots
Chapter 4: Correlation and Regression
   4.1    Scatter Diagrams and Linear Correlation
   4.2    Linear Regression and the Coefficient of Determination
Chapter 5: Elementary Probability Theory
   5.1    What is Probability?
   5.2    Some Probability Rules-Compound Events
Chapter 6: The Binomial Probability Distribution and Related Topics
   6.1    Introduction to Random Variables and Probability Distributions
   6.2    Binomial Probabilities
   6.3    Additional Properties of the Binomial Distribution
Chapter 7: Normal Curves and Sampling Distributions
   7.1    Graphs of Normal Probability Distributions
   7.2    Standard Units and Areas Under the Standard Normal Distribution
   7.3    Areas Under Any Normal Curve
   7.4    Sampling Distributions
   7.5    The Central Limit Theorem
   7.6    Normal Approximation to Binomial Distribution and to p-hat
Chapter 8: Estimation
   8.1    Estimating μ When σ is Known
   8.2    Estimating μ When σ is Unknown
   8.3    Estimating p in the Binomial Distribution
Chapter 9: Hypothesis Testing
   9.1    Introduction to Statistical Tests
   9.2    Testing the Mean μ
   9.3    Testing a Proportion p
Chapter 10: Inferences About Differences
   10.1    Tests Involving Paired Differences (Dependent Samples)
   10.2    Inferences about the Difference of Two Means μ12
   10.3    Inferences about the Difference of Two Proportions p1-p2
Chapter 11: Optional: Additional Topics Using Inference
   11.1    Optional: Chi-Square: Tests of Independence and a Homogeneity
   11.2    Optional: Chi-Square: Goodness-of-Fit

See Course Page for additional resources.