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509–Statistics for Engineers. (3) (Prereq: Math 142 or equivalent) Basic probability and statistics with applications and examples in engineering. Elementary probability, random variables and their distributions, random processes, statistical inference, curve fitting and prediction, correlation and application to quality assurance, reliability, and life testing.

Course Homepage: Fall 2004 - Section 1, section 2

Usually Offered: Fall, Spring, and Summer Semesters

Purpose: To acquaint engineering and science students with modern concepts of statistical thinking and its foundations on probability, emphasizing applications of statistics to quality engineering and improvement, process capability and control, reliability assessment, and related areas. To prepare students for further study in statistical methods and random phenomena, including statistical quality control, design of experiments, stochastic processes, time series methods, and reliability analysis.

Current Textbook: Probability and Statistics for Engineers and Scientists (7th Edition), by Walpole, Myers, Myers, and Ye, Prentice Hall, 2002

Topics Covered
Chapters
Time
Treatment of Data – graphical methods: stem-and-leaf, box plots, etc.; descriptive measures: sample mean, variance, percentiles
1
1 week
Basic Probability – counting, basic laws and elementary theorems; independent events
2
0.5 week
Discrete Random Variables and Distributions – binomial, hypergeometric, Poisson, mean and variance, Poisson Process
5
2 weeks
Continuous Random Variables and Distributions –normal, normal approximation to binomial, uniform, gamma, exponential, probability plots
6
1.5 weeks
Random Sampling and Sampling Distributions – central limit theorem and t distribution, chi-square and F distributions
8
1 week
Estimation – point estimation, confidence intervals, sample size determination; prediction and tolerance intervals (as time permits)
9
2 weeks
Tests of Hypotheses – tests for one and two means, sample sizes, p- values, paired sample tests, tests for one and two variances, tests for one and two proportions (as time permits)
10
3 weeks
Simple Linear Regression (as time permits) – curve fitting, inferences about estimated parameters, adequacy of models, linear correlation
11.1-11.7
2 weeks
Control Charts – X-bar, R, and p charts
17.1-17.5
1.5 weeks
Additional Topics (as time permits) – 22 and 23 factorial experiments, graphic presentation, examples, confounding, quality improvement
13, 14
Notes
1.5+ weeks
Reliability (as time permits) – series and parallel systems, life testing, failure rate, estimation for exponential failure model
Notes
0.5 weeks
The above textbook and course outline should correspond to the most recent offering of the course by the Statistics Department. Please check the current course homepage or with the instructor for the course regulations, expectations, and operating procedures.

Contact Faculty: Jim Lynch, Georgie Baker
(Last Updated: July 11, 2008)

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