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Instructors' Guide for Facilitating Activity Draw_line

Activity Draw_line: Can you draw a straight line without a ruler?

Required Equipment

     • Computers for each student to conduct the online data collection
     • A ruler
     • A pass code for this activity (If you do not have this, please register for a pass code.)

Activity
In this activity students are asked to draw a two inch line segment ten times without using a ruler.  Then they will measure the length of each segment and record on the online data collection surveyThe main purpose is to help students learn bias, within subject variation and between subject variation.  These are common in quality control.
 

Suggested Approach and Some Tips for Facilitating This Activity

1. Describe this activity as a scenario.

How will a coca cola bottling process fill a 12 oz can?  The target is 12 oz, however, due to the physical limitation, the actual amount filled can rarely be exactly 12 oz, they vary (variation).  Further, the average amount filled by a process is usually different form the target 12 oz (bias).  An important task in controlling the quality is to reduce both bias and variation.  Now it is your turn to conduct a simple experiment to experience the bias and variation.

2. Decide to have your class:
  • Participate in selecting your own box activity (pass code is required).  Go to step 3

                               -OR-

  • Use the data collected by other classes (no pass code required).  Go to step 4.
3. Engage students in the data measurement and data collection stage.
  • Use students to draw their own best judgment of two inch line segments, ten times, without using a ruler.
  • Emphasize that they can not use any device to help them draw the line segments.
  • After drawing their own two inch line segments give each individual a ruler and have them measure and record the length (up to 1/10 unit and run off to two decimal places.  e.g  15/16=1.94, 2 1/8=2.13)
  • Direct students to the "Add Data" page for this activity.
    -Go to Data Entry, select Activity Draw_Line
    -Click on "Add Data"
    -Provide the pass code for students to make their selection of ten boxes.
4. Direct students to the Data Download page to download the data.
  • Click on "Data Download", select the activity Draw_line, then click on Select Data.
  • You may select the entire data set or a subset.  Ask students to follow your instructions to download the data based on the available criteria.
5. Direct students to analyze the data.

You should have chosen what statistical tool your class will be using for analyzing the data.
     • You may use the software at your local computer lab.
     •
You may use the online software, "Crunch_It" at http://www.statcrunch.com/.
       For first time users you need to sign on to the site.  Please stress that
       students need to remember their own ID and password. Direct students to 
       input the data and analyze the data.  Be more focused on what tools are to 
       be used for analyzing this distance data based on the purpose of this activity.

Suggested Questions for Classroom Activities

 

6. Facilitate the discussion of the results.
  • Point of different analogies in manufacturing process that are similar to this activity.
  • Emphasize the importance of reduce bias and variation in real world applications for improving quality.
  • Discuss why between subject variation is usually larger than within subject variation.
  • Review the sampling distribution of sample mean and discuss its application in this activity.
  • Control charts and R-charts or S-charts may be introduced here.
7. Assessment:
Online Self-Test for Students
Suggested Questions for Classroom Activities
Suggested Questions for Homework and Projects

 


 

 
 

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www.cmich.edu/aaeo/).