# MATH 472 (Spring 2016)

Required textbook: deGroot and Schervish, “Probability and Statistics”.
Grading: Best of two midterms 45%, homework 5%, final 50%.
Midterm 1 will be on February 17 and Midterm 2 will be on March 30.

#### Final exam material

###### 1. Book sections
Section Homework Lecture problems
9.1 3, 10, 14, 16 1, 6, 11, 15
9.5 5,8,15 1,12,16
9.6 1,9 2,8
9.7 1,15,18 5,6,17
11.1 7,11 1,4
###### 2. Extra credit projects
Haley Data analysis of Google distance
Charles Evaluation of the Normalized Google Distance Wolfram Alpha for sample $S$, population $S$
Daren The number of segments on a Culsia rosea seed capsule
###### What’s in each section

9.5 ($t$-test)
9.6 (Comparing means of two normals using $t$-test; no unequal variances this year)
9.7 ($F$-distributions)
11.1 (Least squares estimation)

The MLE for the exponential distribution is approximately normal, in accordance with the delta method: example for February 8

Delta method doesn’t work for n=1: example for February 8

Likelihood function for Cauchy distribution (with theta=0): example for February 3

Likelihood function for exponential distribution: example for February 3

#### Midterm 1 material

Section Homework Lecture problems
7.1 6 3
7.2 10, 3 6, 11
7.3 6, 10, 9, 22, 12 13, 4, 5, 16, 15
7.4 1, 12, 15 8, 10, 13
7.5 3, 13 2, 9

#### Midterm 2 material

Section Homework Lecture problems
7.6 1, 11, 12, 17, 23 2, 7, 10, 19, 20
8.1 9 7
8.2 5, 2 9, 4
8.3 4 8
8.4 4 1
8.5 8, 9 3, 7
8.7 8, 7, 9 5, 3, 13