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509Statistics 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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