Syllabus: Introduction to Statistics and Probability (Math 111)
To acquaint the student with the fundamental applications of statistics and probability
To learn about experiments, outcomes, probabilities, and odds
To learn about probability distributions, including - binomial, normal, and sampling distributions
To provide a foundation for the study of more specialized methods
Textbook: Larson, Ron; and Farber, Betsy; Elementary Statistics (Fourth Edition); Pearson, Prentice Hall; ISBN 13:978-0-13-242433-2 and ISBN 10: 0-13-242433-9
All students are expected to participate in the learning experience.
All exams are equally weighted
Introduction to Statistics, sections 1-3.
Course overview, Overview of statistics, Data classification, Experimental design, Chapter summary and review.
Descriptive Statistics, sections 1-5.
Frequency distributions and their graphs, More graphs and displays, Measures of central tendency, Measures of variation, Measures of position, Chapter summary and review.
Probability, sections 1-3.
Basic concepts of probability and counting, Conditional probability and the multiplication rule, The addition rule, Additional topics in probability and counting. Chapter summary and review.
Discrete Probability Distributions, sections 1-3.
Probability distributions, Binomial distributions, More discrete probability distributions, Chapter summary and review.
Normal Probability Distributions, sections 1-5.
Introduction to normal distributions and the standard normal distribution, Finding probabilities, Finding values, Sampling distributions and the central limit theorem, Normal approximations to binomial distributions, Chapter summary and review.
Confidence Intervals, sections 1-4.
Confidence intervals for the mean (large samples and small samples), for population proportions and for variance and standard deviation. Chapter summary and review.
Hypothesis Testing with One Sample, sections 1-5.
Introduction to hypothesis testing, Hypothesis testing for the mean (large and small samples), for proportions and for variance and standard deviation. Chapter summary and review.
Hypothesis Testing with Two Samples, sections 1-4.
Testing the difference between means (both large independent samples and small independent samples), Testing the difference bwween means (dependent samples), Testing the difference between proportions. Chapter summary and review.
Correlation and Regression, sections 1-4.
Correlation, Linear regression, Measures of regression and prediction intervals, Multiple regression. Chapter summary and review.
Chi-Test and the F-Distribution, sections 1-4.
Goodness of fit, Independence, Comparing two variances, Analysis of variance. Chapter summary and review.
This chapter will be covered as time allows.
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