Math 170S: General Course Outline
Catalog Description
170S. Introduction to Probability and Statistics: Part 2 Statistics. Lecture, four hours. Requisites: courses 31A, 31B, and 170E. The Math 170E and 170S two quarter probability and statistics sequence is aimed to equip MathEcon and Financial Actuarial majors with essential skills in these areas. Math 170S is an introduction to statistics. Topics include sampling; estimation and the properties of estimators; construction of confidence intervals and hypotheses testing. It is designed to meet the Society of Actuaries' VEE Requirements for Mathematical Statistics. Letter grading.
Textbook
Hogg, Tanis, Zimmerman Probability and Statistical Inference
Outline Updated 10/17
Schedule of Lectures
Lecture  Section  Topics 

1 
6.1 
Descriptive Statistics 
2 
6.2 
Exploratory Data Analysis 
3 
6.3 
Order Statistics 
45 
6.4 
Maximum Likelihood Estimation 
6 
6.5 
A Simple Regression Problem 
7 
6.7 
Sufficient Statistics 
89 
6.8 
Bayesian Estimation 
10 
7.1 
Confidence Interval for Means 
11 
7.2 
Confidence Intervals for the Difference of Two Means 
12 
7.3 
Confidence Interval for Proportions 
13 
7.4 
Sample Size 
14 
7.5 
DistributionFree Confidence Intervals for Percentiles 
15 
Midterm 1 on Chapters 6 and 7 

1617 
8.1 
Tests About One Mean 
18 
8.2 
Tests of the Equality of Two means 
19 
8.3 
Tests About Proportions 
20 
8.4 
The Wilcoxon Tests 
21 
8.5 
Power of a Statistical Test 
22 
8.6 
Best Critical Regions 
23 
8.7 
Likelihood Ratio Test 
24 
9.1 
ChiSquare GoodnessofFit Tests 
25 
9.2 
Contingency Tables 
2627 
9.3 
OneFactor Analysis of Variance 
28 
9.4 
TwoWay Analysis of Variance 