An Introduction to Statistical Methods presents the mathematics of probability theory (including numerous probability distributions) and the foundations of statistical inference (via hypothesis testing). Numerous examples and figures illustrate the various concepts while hundreds of exercises compliment the text by reinforcing (and extending) the ideas. Full-page summaries of each distribution are included at the end of the section. Tables for the normal distribution, t-distribution, and chi-square distribution are included as an appendix. Solutions to every problem in the text are included in the back of the text making this text ideal for those who would like to learn the material by themselves. No prior knowledge of probability is required, though a course in multivariate calculus is needed as multiple integrals are used.