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Instructors' Guide for Facilitating
Activity Raisins
Activity Raisins: How many raisins are in a 1/2
oz. box?
Required Equipment
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A 1/2 oz. box of SUN-MAID raisins. One
box for each student.
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Computers for each student to conduct the
online data collection and internet connection.
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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
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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.
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| 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)
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| 3. |
Engage students in the data measurement and data
collection stage.
- 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.
- Ask students to count the number of raisins and
have them write down the actual number.
- Direct students to the "Data Entry" page to add
their data, their guess and their actual count.
- To get to the "Add Data" page click on "Data
Entry," select Activity Raisins and click on "Add Data".
- You should now provide the activity pass code to
the students.
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| 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).
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| 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
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| 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.
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7. |
Assessment:
Online Self-Test for Students
Suggested Questions for
Classroom Activities
Suggested Questions for Homework and Projects |
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