Today

1
Todays Agenda

• Random variable review
• Overview of clicker experiment and informed
  consent
• Survey of attitudes toward statistics and
  clickers
• Comprehensive Assessment of Outcomes for a first
  course in Statistics (CAOS)

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Random Variable ReviewThe Qwizdom Years
3
Problem 1 In which of the following situations
is X a binomial random variable?

• A. Let X be the number of football games the
  Wolverines will win next season.
• B. Let X be the number of heads that turn up on
  an unfair coin in 10 flips.
• C. Let X be the number of flips necessary to
  get 5 heads on a fair coin.
• D. Let X be the number of spades in a hand of 7
  dealt from a standard deck of cards.

4
Problem 2

• Suppose there is a new game you can play. You
  can win 10 with probability 0.1 or 100 with
  probability 0.01. Otherwise, you lose (i.e. you
  win 0).
• Let X be the random variable representing the
  amount of money you win.

5
What is the probability that you win 0?

1. 0
2. 0.1
3. 0.89
4. 0.99
5. 1

6
What is the expected amount of money you will
win?

• 0
• 1
• 2
• 10
• 100

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Problem 3

• Suppose that lengths of tails of adult
  Ring-tailed Lemurs are normally distributed
  with mean 50 cm and standard deviation 5 cm.

Photo From "lemur." Online Photograph.
Britannica Student Encyclopædia.
lthttp//student.britannica.com/eb/art-52836gt.
8
What is the probability that a randomly selected
adult ring-tailed lemur has a tail that is 45 cm
or shorter?

1. 0
2. 0.1587
3. 0.8413
4. 1

9
Two adult ring-tailed lemurs will be randomly
selected. What is the probability that both
lemurs will have a tail that is 55 cm or longer?

1. 0.02519
2. 0.1587
3. 0.3174
4. 0.8413

10
Overview of the Stat 350 Clicker Experiment
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• You are invited to be part of a research study on
  the effectiveness of clickers in helping to
  engage students in the Statistics classroom and
  learn the subject.
• You were selected as a possible participant
  because you are enrolled in STATS 350.
• This study is being conducted by
• Herle McGowan, M.A., Department of Statistics,
  Statistics 350 Instructor
• Brenda Gunderson, Ph.D., Department of
  Statistics, Statistics 350 Instructor
• Please read the Informed Consent document now

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In Summary

• Providing consent does not mean extra work for
  you (i.e. no work beyond normal course
  requirements)
• Everyone will complete the same surveys
  assessments, and have the same extra-credit
  opportunities.
• Providing consent does mean we can use your data
  which we collect from surveys, clicker responses,
  in-lab reviews, and CAOS assessments - in the
  research project.
• This could help us learn more about the best ways
  to use clickers.
• In any analysis or reports we may publish using
  this data, it will not be possible to identify
  individual students.

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Questions?

• You may ask any questions about the study now.
• If you have more questions later, contact
• Herle McGowan, 258 West Hall, hmcgowan_at_umich.edu
  OR
• Brenda Gunderson, 445A West Hall,
• 734-615-2830, bkg_at_umich.edu.

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Consent

• Please print your name on the document
• This does not signal your permission to use your
  data in this study only your signature does that
• If you consent to have the data collected from
  surveys, clicker responses, in-lab reviews, and
  CAOS assessments used in this study
• Please sign the Informed Consent document
• If you would not like to have your data used in
  this study
• Do not sign the consent form
• Please return the consent form (signed or not) to
  me now.
• For your reference, a copy of this form is
  available on CToolsgtLab Info.

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Now

• We would like to learn more about you
• About your attitudes towards Statistics
  clickers
• About your basic knowledge of Statistics
• First, go to CToolsgtLab Info and find the link
• Stat 350 Early Attitudes
• Then, go to CToolsgtLab Info and find the link
• Stat 350 Early Understanding
• Use your best judgment to answer every question
• When you have completed the questions, stop up to
  pick up your HW 1!