*[*

Approved by Faculty Senate.

The Department of Mathematics and Statistics proposes the following course for inclusion in University Studies, Math/Stat Flagged courses at Winona State University. This was approved by the full department on Thursday, February 1, 2001.

__Course Title__: Statistical
Quality Control (STAT 320, 3 s.h.)

__Catalog Description:__

An introduction to the basic philosophy of quality control and statistical tools used in quality improvement. Tools to include control charts, Ishikawa cause-and-effect charts, Pareto charts, histograms, and stem-and-leaf plots. There will be industrial case studies and tours of local industries (when available). This is a University Studies course satisfying requirements

for the Math/Stat Flag.

Prerequisite: An introductory statistics course (preferably STAT 210).

This is an existing course, previously approved by A2C2.

Department Contact Person for this course:

Dan Rand, Mathematics and Statistics Department

Email drand@winona.edu

General Discussion of University Studies – Math / Stat Flag in relation to STAT 320:

**University Studies: **__Mathematics/Statistics Flag__

The purpose of the Mathematics/Statistics Flag course requirement is to reinforce the outcomes specified for the basic skills area of mathematics/statistics. These courses are intended to provide students with significant practice in applying prerequisite mathematical or statistical knowledge.

Courses can merit the Mathematics/Statistics Flag if students will be required to make essential use throughout the semester of mathematical or statistical models appropriate to their prerequisite knowledge of those areas, and if the correct use of techniques based on such models will comprise a significant portion of a student’s final grade. It is understood that mere rote

computations, algebraic manipulations, or graphical design without inferential content would not merit a Mathematics/Statistics Flag.

These courses must include requirements and learning activities promoting students' abilities to...

a. practice the correct application of mathematical or statistical models that are appropriate to their prerequisite knowledge of those areas;

The study of statistical quality control involves creating and analyzing statistical models of critical process measurement variables. Students learn to assess different statistical models for different types of variables by working with case study data, textbook data, and classroom simulation data. The objective of analysis is to determine if a process variable is in statistical control, or alternatively if there are special causes in the process that must be eliminated.

b. make proper use of modern mathematical or statistical methods appropriate to their level of prerequisite knowledge, to include, if statistics is used in a substantive way, the use of a statistical package with graphics capability when appropriate.

All control chart analysis in this course is based on methods of hypothesis testing. All studied analysis methods involve graphical analysis using Excel and other software programs. Objectives for students include becoming capable at spreadsheet manipulation and at visual graphical analysis.

Statistical Quality Control (STAT 320) 3 s.h.

Course Syllabus/Outline

__Course Title__: Statistical Quality Control (STAT 320, 3 s.h.)

__Course Description:__

An introduction to the basic philosophy of quality control and statistical tools used in quality improvement. Tools to include control charts, Ishikawa cause-and-effect charts, Pareto charts, histograms, and stem-and-leaf plots. There will be industrial case studies and tours of local industries (when available). This is a University Studies course satisfying requirements

for the Math/Stat Flag.

__Prerequisite:__ An introductory statistics course
(preferably STAT 210).

Grading: Grade only for all majors, minors, options, concentrations and licensures within the Department of Mathematics and Statistics. The P/NC option is available to others.

__Possible Textbooks__:

Chambers, David S. and Wheeler, Donald J., __Understanding__

__Statistical Process Control__. Knoxville, Tennessee:

Statistical Process Controls, Inc., 1986.

Montgomery, Douglas C., __Introduction to Statistical__

__Quality Control__, third edition, New York: Wiley, 1996.

University Studies - Mathematics/Statistics Flag

The purpose of the Mathematics/Statistics Flag course requirement is to reinforce the outcomes specified for the basic skills area of mathematics/statistics. These courses are intended to provide students with significant practice in applying prerequisite mathematical or statistical knowledge.

These courses must include requirements and learning activities promoting students' abilities to...

**a**. practice the correct application of mathematical or statistical
models that are appropriate to their prerequisite knowledge of those areas;
and

**b**. make proper use of modern mathematical or statistical methods
appropriate to their level of prerequisite knowledge, to include, if
statistics is used in a substantive way, the use of a statistical package with
graphics capability when appropriate.

Topics below which include such requirements and learning activities are indicated below using lowercase, boldface letters a.-b. corresponding to these.

__Topics Covered:__ I. Introduction to quality control

II. Review of introductory statistics **(a)**

A. Central tendency

B. Variation

C. Important distributions

III. Introduction to control charts **(a,b)**

A. Statistical basis

B. How to use a control chart

1. Patterns

2. Runs

3. Rational subgroups

C. Types of charts

1. X and R (and s)

2. np and p

3. c and u

4. X

5. Cusum

6. EWMA

STAT 320

Page 2

IV. Introduction to process capability analysis **(a,b)**

A. Graphical

B. Process capability ratios

V. Gage capability studies **(a)**

__Method of Instruction__: Lectures, case studies, discussion and

problem solving sessions, computer workshop session(s)including process simulation and industrial plant tour(s) (when available)

__Evaluation Procedure__: Hour
exams/projects/final/homework

February 9, 2001

Approval/Disapproval Recommendations

Department Recommendation: Approved Disapproved Date

Chairperson Signature Date

Dean's Recommendation: Approved Disapproved Date

Dean's Signature Date

*In the case of a Dean's recommendation to disapprove a proposal, a written rationale for the recommendation

to disapprove shall be provided to USS.

USS Recommendation: Approved Disapproved Date

University Studies Director's Signature Date

A2C2 Recommendation: Approved Disapproved Date

A2C2 Chairperson Signature Date

Faculty Senate Recommendation: Approved Disapproved Date

FA President's Signature Date

Academic VP's Recommendation: Approved Disapproved Date

VP's Signature Date

President's Decision: Approved Disapproved Date

President's Signature Date