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MATH 117 Online Statistics
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Current Topics, Readings, and
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The information about the current topics, readings, and exercises for
which you are responsible will be posted on this page. (Information
about topics, readings, and exercises for previous weeks can be accessed at the bottom of this page.)
Please remember that the
only way in which to learn the material is to do the
readings and practice
exercises. The
readings and practice exercises document does not have any dates,
however, each section is listed, in general, in the order in which
the material will be covered throughout the semester. The
current topics, readings (text, PowerPoints, online), and corresponding
exercises for which you are responsible will be listed below each week. Once sections
and readings have been assigned, you are expected to read the sections
and to work on the corresponding/related practice exercises. You
MUST use the
MyMathLab as well. The resources on
MyMathLab
include preparation discussions,
PowerPoint slides, data files for the exercises, Statlets (applets for Statistics),
video lectures and other resources for each
chapter such as practice quizzes, practice tests, and hints and
similar exercises facilities for use when working on practice exercises.
Current Topics, Readings (text, PowerPoints, online),
and Exercises on which you should work during Week 8:
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In Module 6:
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Read Chapter 7 and do all practice exercises for
Chapter 7
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Do the Chapter 7 Review exercises
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Read the PowerPoint on the PowerPoint Class-Notes page:
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Do the online readings:
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What is normal distribution?
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Standard Normal Distribution
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Normal Distribution – Select “Normal
Distributions” in the Table of Contents
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What’s so important about the normal
distribution?
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Normal Distribution (chapter of online text)
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Normal Distribution (technical)
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Normal Distribution (also technical but some
good graphs)
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Watch the corresponding video lectures
and view the associated PowerPoints and materials on MyMathLab/MyStatLab
for Chapter 7
Top of Page
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Go to the Interactive MS Excel Workbooks page. Carefully read the information about browser security
settings and security settings for MS Excel and appropriately set
these settings before you proceed; these are important for those of
you using IE 6 or earlier as well as those using MS Office 2003 or
earlier. If you have MS Office 2007, watch for the security
warning that will appear in a bar below the ribbon: the bar will
display a shield accompanied by the text "Security Warning
Some active content has been disabled." as well as an
"Options..." button. Left-click the "Options..." button,
select "Enable the content", and left-click the "Ok" button.
If you have already installed the Analysis ToolPak, you will
be able to use the selected tool once you have enabled the content.
For those of you using MS Office 2003 or earlier, follow the
directions regarding installing the Analysis ToolPak that are
provided with the information about the tool. In order to
install the Analysis ToolPak if you are using MS Office 2007,
left-click the Office button and left-click the Excel Options
button at the bottom of the box to the left of the Exit Excel
button, left-click Add-Ins on the menu, in the pull-down
(next to Manage: at the bottom of the Excel Options
dialog box and below the list of active and inactive Application
Add-Ins) select Excel Add-ins and left-click the Go...
button, left-click the check box next to Analysis ToolPak in
the Add-Ins dialog box and left-click the Ok button --
if you have a full installation of MS Office and if the installation
files are stored on the computer's hard drive then the Analysis
ToolPak will be installed; if the installations files are not
available then you will be prompted to put the installation CD into
the appropriate drive in order to complete installation.
Please let me know if you have any difficulty installing the
necessary Add-In or have difficulty in setting your security levels
or enabling the content -- I would be glad to talk you through the
process.
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Scroll to the Statistics section on the Interactive MS Excel
Workbooks page and review the available tools in this section.
Remember to follow the directions provided with
these tools.
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Use the Interactive MS Excel Workbook listed above to
answer the following questions.
- Normal Comparison (use the Normal Comparison tool):
Using this tool, you can explore the relationship between a
Normal Distribution with mean
m and standard deviation s and
the Standard Normal Distribution. Use the scrollbars to
change the values of the mean and standard deviation for the
Normal Distribution (the blue curve) and compare it to the
Standard Normal Distribution (the red curve).
- As you change the value of the mean so that it increases
from m = 0 to m
= 10, how does the graph of the corresponding Normal
Distribution change?
- As you change the value of the mean so that it decreases
from m = 0 to m
= -10, how does the graph of the corresponding Normal
Distribution change?
- With m = 0, as you change the
value of the standard deviation so that it increases from
s = 1 to s
= 10, how does the graph of the corresponding Normal
Distribution change?
- With m = 0, if you could change
the value of the standard deviation so that it could decrease
from s = 1 to s
= 0.1, how would the graph of the corresponding Normal
Distribution change?
- Overall, how does the value of the mean,
m, affect the graph of a Normal Distribution?
- Overall, how does the value of the standard deviation,
s, affect the graph of a Normal
Distribution?
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- Standard Normal Distribution (Use the Left/Right
and Between tools for the Standard Normal
Distribution): You may use these tools to
explore the properties of the Standard Normal Distribution; you
may generalize to the Normal Distribution. Use the
scrollbars to change the value of the z-score, z = a, on each
tab.
- Exploration of the relationship between P(z < a) and P(z >
a) using the Standard Normal Distribution Left/Right
tool:
- Begin by examining the tabs for P(z < a) and P(z > a) as
they are. What do you notice about P(z < a) and P(z > a)?
- Examine the values of P(z < a) and P(z > a) for z = 1, z =
2.03, z = 2.67, z = 3.14, z = 3.29, and z = 3.96. What is
the relationship between P(z < a) and P(z > a)?
- Examine the values of P(z < a) and P(z > a) for z = -0.03, z
= -0.94, z = -1.72, z = -2.07, z = -2.59, and z = -3.71.
What is the relationship between P(z < a) and P(z > a)?
- Overall, what is the relationship between P(z < a) and P(z >
a)?
- Exploration of the relationship between P(z < a) and P(z >
-a) using the Standard Normal Distribution Left/Right
tool:
- Begin by examining the tabs for P(z < a) and P(z > -a) as
they are. What do you notice about P(z < a) and P(z > -a)?
- Examine the values of P(z < a) and P(z > -a) for z = 1, z =
2.03, z = 2.67, z = 3.14, z = 3.29, and z = 3.96. What is
the relationship between P(z < a) and P(z > -a)?
- Examine the values of P(z < a) and P(z > -a) for z = -0.03,
z = -0.94, z = -1.72, z = -2.07, z = -2.59, and z = -3.71.
What is the relationship between P(z < a) and P(z > -a)?
- Overall, what is the relationship between P(z < a) and P(z >
-a)?
- Exploration of the relationship between P(z < -a) and P(z >
a) using the Standard Normal Distribution Left/Right
tool:
- Begin by examining the tabs for P(z < -a) and P(z > a) as
they are. What do you notice about P(z < -a) and P(z > a)?
- Examine the values of P(z < -a) and P(z > a) for z = 1, z =
2.03, z = 2.67, z = 3.14, z = 3.29, and z = 3.96. What is
the relationship between P(z < -a) and P(z > a)?
- Examine the values of P(z < -a) and P(z > a) for z = -0.03,
z = -0.94, z = -1.72, z = -2.07, z = -2.59, and z = -3.71.
What is the relationship between P(z < -a) and P(z > a)?
- Overall, what is the relationship between P(z < -a) and P(z
> a)?
- What can you generalize about P(z < -a)? You should be
able to make two statements.
- What can you generalize about P(z > -a)? You should be
able to make two statements.
- Exploration of the relationship between the values of P(z <
a) and P(z < b) and the value of P(a < z < b) using the
Standard Normal Distribution Left/Right tool and the
Standared Normal Distribution Between tool:
- Using the Left/Right tool, determine the following:
- the value of P(z < a) and the value of P(z < b) for
the following pairs of values for a and b:
- for a = -3.27 and b = -1.47;
- for a = -1.39 and b = 2.99;
- for a = -0.61and b = 0.29;
- for a = 1.09 and b = 1.19;
- for a = 2.96 and b = 3.41;
- and a = 3.25 and b = 3.68;
- For each of the pairs above, determine the difference
between P(z < b) and P(z < a). That is, determine P(z < b)
- P(z < a).
- Using the Between tool, determine the value of P(a <
z < b) for the following pairs of values for a and b:
- for a = -3.27 and b = -1.47;
- for a = -1.39 and b = 2.99;
- for a = -0.61and b = 0.29;
- for a = 1.09 and b = 1.19;
- for a = 2.96 and b = 3.41;
- and a = 3.25 and b = 3.68;
- Compare the values of the differences P(z < b) - P(z < a)
and the values of P(a < z < b) that you found for each of the
pairs of values for a and b. What is the relationship
between P(z < b) - P(z < a) and P(a < z < b)?
Top of Page
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Post to the four (4) Week 8 discussions on Blackboard. These forums must be completed by
Monday, March 15, 2010 at 12 AM. Everyone must post to each forum. Remember to post first responses
and second responses in addition to your original posting.
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Probability Distribution?
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Expected Value for a Probability Distribution
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Binomial Experiment?
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Binomial Probability Distribution
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For the History of Statistics assignment,
available on the Graded Assignments page,
the next components, the PowerPoint slides and the online presentation,
of this assignment are due via email by Wednesday, March
10, 2010 by 11:59 PM and on Blackboard on Friday,
March 12, 2010 by 11:59 PM, respectively. Please carefully
read the assignment so that you will know what to submit and the required format in which to submit this component of the
assignment.
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Quiz #3 (covering topics in Chapter
5) will be available on Blackboard from 12 AM on Thursday,
March 11, 2010 until 11:59 PM on Friday, March 12,
2010.
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Per the
DGCE Academic Calendar, please remember that you have Spring
Break during the week of March 15, 2010 - March 20, 2010.
Top of Page
Topics, Readings, and Exercises from
previous weeks:
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Please remember that
your questions are important to me, that I want to help you to do
well in the course, and that there is no such thing as a
stupid question.
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