Introduction to mathematical statistics that develops probability as needed; includes the calculus of probability, random variables, expectation, distribution functions, central limit theorem, point estimation, confidence intervals, and hypothesis testing. Offers a basic one-term introduction to statistics and also prepares students for STAT 410.
Final Exam: 7:00 pm – 10:00 pm, Tuesday, May 9, 2017, 103 Mumford Hall
| Course Schedule | |||||
| Week Handouts | T | R | Sunday | ||
| Date | Reading/Notes | Date | Reading/Notes | HW Due 11:59 pm | |
| 1 Handout | 01/17 | Introduction, Properties of Probability, 1.1 | 01/19 | Independence, 1.4; Conditional probability, 1.3 | |
| 2 Handout | 01/24 | Bayes’ Theorem, 1.5 | 01/26 | Enumeration, 1.2 | 1 |
| 3 Handout | 01/31 | Discrete Random Variables, Expectation, 2.1, 2.2 | 02/02 | Variance, 2.3, More Discrete Random Variables | 2 |
| 4 Handout | 02/07 | Bernoulli trials, 2.4 | 02/09 | Poisson, 2.6 | 3 |
| 5 Handout | 02/14 | Moment Generating Functions, 2.5 | 02/16 | EXAM 1 | 4 |
| 6 Handout | 02/21 | Continuous Random Variables, 3.1 | 02/23 | Exponential, Gamma, 3.2, Poisson table | 5 |
| 7 Handout | 02/28 | Normal, 3.3, Z-table | 03/02 | Bivariate Distributions, 4.1, 4.3, 4.4 | 6 |
| 8 Handout | 03/07 | Correlation, 4.2 | 03/09 | Multivariate, 5.3 | 7 |
| 9 Handout | 03/14 | CLT, 5.6, 5.7 | 03/16 | Point estimation, 6.4 | 8 |
| 10 | 03/21 | Spring Break | 03/23 | Spring Break | |
| 11 Handout | 03/28 | EXAM 2 | 03/30 | CI for 1 mean, 7.1, 7.4, t-table | 9 |
| 12 Handout | 04/04 | CI for 2 means, 7.2 | 04/06 | CI for variance, chisquare table, min width table | 10 |
| 13 Handout | 04/11 | CI for p, 7.3, 7.4 | 04/13 | Tests for p, 8.3 | 11 |
| 14 Handout | 04/18 | Tests for 1 mean, 8.1 | 04/20 | Tests for 2 means, 8.2 | 12 |
| 15 Handout | 04/25 | Tests for variances, Chi-square Tests, 9.1 | 04/27 | Contingency Tests, 9.2 | 13 |
| 16 | 05/02 | EXAM 3 | |||