STAT 101: INTRODUCTION TO STATISTICS
Statistical topics
will be selected from, but are not limited to the following areas. Some topics may not be covered.
Introduction to Statistics: Aim of Statistics. Basic definitions. Why statistics is important to you. Abuses of statistics. Steps in scientific research.
Survey Sampling: What is sampling? Why do we sample? Various sampling techniques.
Statistical Software: Instruction in the fundamentals of using Minitab for statistical analysis.
Design of Experiments: What is an experiment? Identification of the components of an experiment. Diagramming an experiment. Types of experiments.
Describing Data: Using a variety of tables and graphs to describe data.
Measures of Central Tendency: Determining the numerical characteristics of a data set.
Measures of Variation: What is variance? What is standard deviation? The Empirical Rule.
Measures of Position: Quartiles; Five-Number Summary; Boxplots.
Descriptive Methods in Regression and Correlation: Linear equations; Linear regression with one independent variable; Scatterplots; Method of Least Squares; Coefficient of Determination; Linear correlation.
Elementary Probability: Rules and applications of basic probability.
Probability Distributions: Distribution of a random variable.
The Standard Normal Distribution: What makes the Standard Normal Distribution a special distribution? Use of the Standard Normal Table. Z-scores. Finding areas under the Standard Normal curve.
Nonstandard Normal Distributions: What is a nonstandard normal distribution? How to find probabilities given a nonstandard normal distribution.
Sampling Distributions: What are they? The Central Limit Theorem.
Confidence Intervals: Estimating a population mean.
Hypothesis Tests: For a population mean. What are hypothesis tests? Types of errors. P-value.
Population Proportions: Difference between a population proportion and a sample proportion. Confidence intervals and hypothesis tests for population proportions.
Chi-Square: Goodness of Fit Test; Test for Independence.
t-test: One-sample; Independent Samples; Paired Samples.
f:Stat101 Course Topics.doc