Introduction to statistical methodology emphasizing applications in engineering. Topics include descriptive and inferential statistics, regression, analysis of variance, and design of experiments. This course is cross-listed with STAT 2610.

Prerequisites & Corequisites: Prerequisite: MATH 1220 or MATH 1700.

Credits: 3 hours

Lecture Hours - Laboratory Hours: (2 to 3)

• The ability to use basic calculus (MATH 1220 or MATH 1700).
• The ability to use new software in problem solving, given basic instructions and
  examples (basic computer skills).

Based on the above stated course description, at the conclusion of the semester the student should be able to:

1. To use descriptive and inferential statistical techniques to solve engineering problems. (a, b, e, g, k)
2. To apply basic linear regression techniques in an engineering context. (a, b, e, g, k)
3. To plan and conduct fundamental experiments of design, analyze the results, and make recommendations based on the analysis. (a, b, c, e, g, k)

Letters in parenthesis refer to the ABET Engineering 2000 criteria met by the corresponding objective.

The student should be able to:

Objective 1

1. Describe and compare data sets using summary statistics and graphical techniques. [1, 2, 3, 4, 5]
2. Understand basic concepts pertaining to probability, random variables, and probability distributions. [1, 2, 3, 4, 5]
3. Calculate and use percentile information. [1, 2, 3, 4, 5]
4. Define the Central Limit Theorem and discuss its importance in statistical analysis. [1, 2, 3, 4, 5]
5. Build confidence intervals for a single parameter and the difference between two parameters. [1, 2, 3, 4, 5]
6. Perform and interpret hypothesis tests for one and two parameter problems.
   [1, 2, 3, 4, 5]
7. Compare the means of more than two samples using analysis of variance.
   [1, 2, 3, 4, 5]
8. Apply the statistical concepts, techniques, and tests presented in this course to new and different engineering situations. [1, 2, 3, 4, 5]
9. Check that the assumptions of the statistical tests and techniques presented are met. [1, 2, 3, 4, 5]
10. Use the appropriate software routines to answer a given statistical problem. [1]
11. Interpret statistical software output and make inferences from this output.
    [1, 2, 3, 4, 5]
    

Objective 2

1. Estimate the parameters necessary to build a regression model. [1, 2, 3, 4, 5]
2. Perform hypothesis tests on individual regression coefficients. [1, 2, 3, 4, 5]
3. Build confidence intervals for regression coefficients and the mean response.
   [1, 2, 3, 4, 5]
4. Predict from a regression model. [1, 2, 3, 4, 5]
5. Assess the adequacy of a regression model. [1, 2, 3, 4, 5]
   

Objective 3

1. Design and carry out simple Single factor, Two-factor, Randomized Block and Factorial experiments. [1, 2, 3, 4, 5]
2. Interpret and make conclusions from the results of a designed experiment.
   [1, 2, 3, 4, 5]
3. Apply Post Hoc tests to determine treatment differences. [1, 2, 3, 4, 5]

Numbers in brackets refer to the method of evaluation (see the preceding evaluation section).

Applied Statistics for Engineers and Scientists using Microsoft Excel and MINITAB, 1st edition. David M. Levine, Patricia P. Ramsey and Robert K. Smidt. Prentice Hall, 2001 (ISBN-10: 0134888014; ISBN-13:9780134888019)

(Note: Unlicensed photocopies of the textbook will not be allowed into lectures or the tests.)

Software:

MINITAB, Release 15, MINITAB, Inc. (www.minitab.com)
This software is available to you in the CAE center (Windows version).
It can be purchased ($99.99) or rented ($29.99 for 6 months; $49.99 for 12 months) through on the hub (http://www.onthehub.com/minitab/minitab_english.htm).

References:

Probability and Statistics in Engineering, 4th edition
William Hines
Wiley, 2003

Fundamentals of Probability and Statistics for Engineers, 1st edition
T.T. Soong
Wiley, 2004

Engineering Statistics, 3rd edition
Douglas C. Montgomery, George C. Runger, and Norma F. Hubele
Wiley, 2004

MINITAB Handbook, 4th edition
Barbara Ryan and Brian L. Joiner
Duxbury Press, 2001

Steven E. Butt, Ph.D.