619-001 Statistics for Engineers

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Objectives:

Students completing the course should:

Comprehend:

• the fundamental concepts of probability and statistical inference.

Have developed the skills:

• to use simple probability models in applications to standard situations;

• to carry out standard statistical analyses.

Appreciate:

• the breadth of application of statistics;

• the importance of the role statistics has in quality improvement;

• the application of computer software in statistical analysis.

Content:

Exploratory data analysis. Basic probability theory. Simple probability models (including Bernoulli trials, Poisson processes, sampling models); random variables and descriptions of their probability distributions; simple distribution theory, including binomial, Poisson and normal distributions. Acceptance sampling. Random sampling and properties of random samples. Introduction to statistical inference: estimation, confidence intervals and hypothesis testing in standard situations based on the binomial and normal distributions. Control charts. Linear regression and prediction. The principles of experimental design and the analysis of some simple designed experiments.

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