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Activity Draw_Line

Can you draw a straight line without a ruler?

For Instructors: Do you have the pass code for this activity?
For Students: Have you read the Instruction for Participation page?

 


The Problem

Can you draw a two inch line without a ruler?  Variation and bias are two natural occurrences in data.  Consider Cola bottling process; filling cola in 12 oz. cans.  The target amount is 12 oz in each can.  However, the actual amount filled is rarely exactly 12 oz.  They vary around the average amount filled by this process, which may not be 12 oz.  There is a difference between the target amount and the average amount filled by the process.  This is the bias.  And from bottle to bottle the actual amount filled varies.  This is variation.  In this activity you will simulate a similar process by drawing a 2 inch line 10 times.  Each line you draw is similar to filling a bottle.  The variation among the ten line segments is the within subject (or within process) variation.  The difference between the two inch lines and your average line length is the within subject (or within process) bias.  In addition there are differences from student to student variation.  This variation is the between subject (or between process) variation.  In a manufacturing process, our goal is to reduce bias and minimize variation.  So, how well can you draw a two inch line segment?  Is your process better than others?

Objectives

1.  Learn the concepts of bias and variation presented from any process.

2.  Learn within subject (within process) variation and between subject (between process) variation.

3.  Learn ideas of reducing bias and minimizing variation.

4.  Learn how the sampling distribution of sample mean is applied in a process control.

5.  Learn analysis of variance technique.

Key Concepts

Target, process mean, bias, within subject variation, between subject variation, sampling distribution of sample mean and analysis of variance.

Related Topics

The data collected from this activity can also be used for the following topics later in this course:

Required Equipment

 
   • Activity pass code (provided by the instructor)
     • Piece of paper and pencil
     • Ruler
     • Internet connection 

 
Tips for Instructors

 

 

 

 

CMU, an AA/EO institution, strongly and actively 
strives to increase diversity within its community (see
www.cmich.edu/aaeo/).