Probability - fundamental concepts and operational rules; discrete random variables; continuous random variables; the mean, variance, expected value operator, and other functions of random variables; classification and description of sample data; sampling distributions - random sampling, the sample mean and sample variance, the central limit theorem; point and interval estimates and the estimation of the mean and variance; hypothesis tests about a single mean, a single proportion, or a single variance; hypothesis testing for two means, two variances or two proportions; fitting equations to data - simple linear regression analysis and curvilinear regression analysis, multivariate regression analysis; hypothesis tests for two or more means - analysis of variance, single factor designs; factorial analysis of variance; an introduction to statistical quality control; some additional methods of data analysis.
