Engineering Professional Education

# Statistical Methods

## STAT51100

Credit Hours: 3

Learning Objective:
Provide the students with the fundamentals of probability, statistical methods, and data analysis.

Description:
Descriptive statistics; elementary probability; sampling distributions; inference, testing hypotheses, and estimation; normal, binomial, Poisson, hypergeometric distributions; one-way analysis of variance; contingency tables; regression.

Topics Covered:
Data (sample vs. Population, histograms, sample mean, median, variance, standard deviation), Elementary probability (axioms, basic rules; little attention to counting and conditional probability), Random variables (discrete vs. Continuous, moments), Binomial, hypergeometric, Poisson distributions, Poisson approximation to binomial, Normal distribution, normal approximation to binomial, Sampling distributions, distribution of mean, central limit theorem, Confidence intervals for means, Confidence intervals for proportions, Tests of hypotheses for means and proportions, Regression and correlation, One way analysis of variance, Contingency tables

Prerequisites:
Calculus. Integration and differentiation of functions of one variable and two variables.

Applied/Theory: 45/55

http://www.stat.purdue.edu/~xbw/courses/stat511/511.htm

Web Content:
Course information, syllabus, homework assignments, lecture notes, and announcements will be posted to course website (undecided); a login and password will be provided.

Homework:
Weekly assignments. Homework solutions will be released on Blackboard.

Projects:
No project will be required for this course. However, some computer-related homework will be assigned.

Exams:
There is one midterm and one final exam.

Textbooks:
Probability and Statistics for Engineering and the Sciences; Purdue University, Cengage; ISBN 9781305745858

Computer Requirements:
Computer/phone/tablet can NOT be used on the homework assignments, unless it states computer assignments. Calculator is allowed on the homework assignments, and is highly recommended on the exams. A free statistical software, R, will be used in the course, which can be downloaded from CRAN (cran.r-project.org). I will use both Blackboard and my website.

ProEd Minimum Requirements: view

Tuition & Fees: view

Other Requirements:
Only hand calculator

Spring 2017
Spring 2019
Spring 2021

## CURRENT INSTRUCTOR(S)

Piyas Chakraborty

Phone
None

Email
chakrabp@purdue.edu

Office
Purdue University
Department of Statistics
West Lafayette, IN 47907

Instructor HomePage