After a brief introduction to the subject, both graphical and numerical techniques for representing data sets will be analyzed; probability theory will be then discussed using both discrete and continuous probability distributions. We will then move to analyzing sampling distributions, point estimators and confidence intervals.
We will also discuss hypothesis tests covering tests of the mean, proportion, and variance as well as differences between these parameters, Chi-squared goodness of fit tests, and an introduction to simple linear regression.
The topics covered are:
Data and Statistics
Descriptive statistics: tabular and graphical displays
Descriptive statistics: numerical measures
Introduction to Probability
Discrete probability distributions
Continuous probability distributions
Sampling and Sampling Distributions
Interval Estimation
Hypothesis Tests
Statistical inference about means and proportions with two populations
Inferences about Population Variances
Tests of goodness of fit and independence
Simple Linear Regression