MATH 146 – Introduction to Statistics

Course Description: This course is an introduction to descriptive statistics, probability and its applications, statistical inference and hypothesis testing, predictive statistics and linear regression.

 

Textbook: Wallace, T. L. (2018), Exploring Introductory Statistics: 2^nd Ed. Lulu.com

 

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Unit 1: Descriptive Statistics

·         1.1 Vocabulary and Frequency Tables

·         1.2 Data and Sampling Techniques

·         1.3 Histograms and Box Plots

·         1.4 Measures of Center and Spread

Unit 2: Probability

·         2.1 Probability Formulas

·         2.2 Contingency Tables

·         2.3 Tree Diagrams and Bayes Theorem

·         2.4 Discrete Probability Distributions

·         2.5 Binomial Distribution

·         2.6 Poisson Distribution

·         2.7 Continuous Probability Distributions and the Uniform Distribution

·         2.8 Normal Distribution

Unit 3: Introduction to Hypothesis Testing

·         3.1 Central Limit Theorem

·         3.2 Confidence Interval for Proportions

·         3.3 Hypothesis Testing for a Single Proportion

·         3.4 Hypothesis Testing for Two Proportions

·         3.5 Confidence Interval for Means

·         3.6 Hypothesis Testing for a Single Mean

·         3.7 Hypothesis Testing for Two Means

·         3.8 Hypothesis Testing for Matched Pairs

Unit 4: More Hypothesis Testing

·         4.1 Hypothesis Testing for Goodness-of-Fit

·         4.2 Hypothesis Testing for Independence

·         4.3 Hypothesis Testing for a Single Variance

·         4.4 Hypothesis Testing for Two Variances

·         4.5 Hypothesis Testing for Several Means

·         4.6 Hypothesis Testing for Correlation and Regression