**MT427
Statistics
Spring 2008**

Professor Nancy Rallis

Carney 321, extension 2-3764

**Office Hours:** MWF

**Textbook:** *An
Introduction to Mathematical Statistics*
by Richard Larsen and Morris

Marx (fourth edition)

Mt427 is a continuation of MT426. The emphasis of the course is statistics. Multivariable Calculus is a prerequisite for the course, as well as a calculus-based probability course like MT426. The topics covered in MT427 are the following:

Chapter 4
Special Distributions -

Chapter 5 Estimation - Maximum Likelihood Method, Interval Estimation, Properties of Estimators, Minimum Variance Estimators, Cramer-Rao Lower Bound, Sufficiency and Consistency

Chapter 6 Hypothesis Testing - Decision Rule, Type I and Type II Errrors, Generalized Likelihood Ratio.

Chapter 7
Normal Distribution - Point Estimators, The Chi-Squared
Distribution,
The *F*
and *t*
Distributions

Chapter 8 Types of Data - Classifying Data

Chapter 9 Two Sample Problems - Testing two sample means and variances, Binomial Data and Confidence Intervals for Two Samples

Chapter 10 Goodness of Fit Tests - The Multinomial Distribution, Goodness-of-Fit Tests, Contingency Tables.

**Exams, Homework and
Grading:**

Your semester grade will be based on homework (20%), semester exams (25% each) and the final exam (30%).

The examination schedule is

Exam 1 is Wednesday, February 28

Exam 2 is Friday, April 18

If you have a serious reason for missing an in-class exam, then you must let me know prior to the examination time. If you have a serious reason for missing the final exam, then you must inform the Dean's office prior to the final exam time. The Dean's office will then let me know that you will miss the exam.

Homework will generally be assigned daily. The problems assigned will be a mixture of routine, straightforward problems that test basic understanding of the material as well as more challenging problems. You are encouraged to talk to each other about the homework, but you must write up your own paper to pass in. Late homework will generally not be accepted. You must staple multiple sheets together (ripped folded and torn sheets will not be accepted)