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Instructors' Guide for Facilitating Activity Raisins

Activity Raisins: How many raisins are in a 1/2 oz. box?

Required Equipment
 

  • A 1/2 oz. box of SUN-MAID raisins.  One box for each student.

  • Computers for each student to conduct the online data collection and internet connection.

  • A pass code for this activity (if you do not have this, please register for a pass code).

Activity

This activity is designed to introduce the concepts of estimation, including point estimate, interval estimate, margin of error and sample size determination.  The data can also be used for descriptive analysis as well as for one population hypothesis test.

Suggested Approach and Some Tips for Facilitating This Activity

1.  Describe this activity as a scenario
  • How many raisins are in a 1/2 oz. box of SUN-MAID raisins?  How do you estimate it?  Is receiving more number of raisins a better quality or is receiving a less number of raisins a better quality?
  • Give your best guess.  Then count the number of raisins in the 1/2 oz. box you are given.
  • Your class is given a random sample of SUN-MAID raisins.  You are asked to estimate the population average number of raisins using a sample of n boxes.
2. Decide to either:
  • Have your class participate in the data collection activity (go to step 3)

                                 OR         

  • Use the data collected by other classes (go to step 4)
3. Engage students in the data measurement and data collection stage.
  1. Distribute the raisins to the students and ask them to guess the number of raisins.  Have them write down their guess on a piece of paper before counting.
  2. Ask students to count the number of raisins and have them write down the actual number.
  3. Direct students to the "Data Entry" page to add their data, their guess and their actual count.
  4. To get to the "Add Data" page click on "Data Entry," select Activity Raisins and click on "Add Data".
  5. You should now provide the activity pass code to the students.
4. Direct students to the "Data Download" page to download the data.
  • There are several criteria available for selecting either all of the data or a subset of all the data available.  Ask students to follow your instructions as to what data is to be selected and where it should be saved (an easy way is to save it is on Desktop).
5. Direct students to analyze the data.
  • You may use the software in your local computer lab.
  • You may use the online analysis tool, "statcrunch" at http://www.statcrunch.com/  For first time users you need to sign onto the "statcrunch" website.  Please ask students to write down their user ID and password for future use.
  • Direct students to input the data and analyze the data.  Be more specific on what tools to be sued for analyzing this data based on the purpose of the activity.

Suggested Questions for Classroom Activities

 

6. Facilitate the discussion of results.
  • Focus on the context.
  • Engage students to discuss the difference between guesses and actual counts.
  • Engage students to review the descriptive techniques (histograms, outliers, variations and numerical summaries).
  • Engage students to connect the sampling distribution of sample mean with the concept of estimation through bias and precision. 
    Unbiasness: The center of the distribution of sample mean is the same as the population mean.
    Precision: Degree of how close when using sample mean to estimate the unknown population mean.  It is measured by using standard error (SE) of mean.
         -Point out that common experience suggests larger
          random sample tends to give a better estimate of
          population mean and it is measured by SE of mean =
         
    d/n
         -Have students discuss what the trend of the SE of
          the mean will be if we continue to increase sample
          size and eventually the sample will become the whole
          population.
  • When addressing the margin of error or sample size, point out that newspapers often report statements about a survey such as "The % of favoring a casino in a city is 35% with margin of error ± 4%".  Begin the discussion on what the margin of error is, how to compute it and why it is important for determining sample size and how to determine sample size.
7. Assessment:
Online Self-Test for Students
Suggested Questions for Classroom Activities
Suggested Questions for Homework and Projects

 


 

 
 

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