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Today’s 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). Random Variable Review: The Qwizdom Years.
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Today’s 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)
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.
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.
What is the probability that you win $0? • 0 • 0.1 • 0.89 • 0.99 • 1
What is the expected amount of money you will win? • $0 • $1 • $2 • $10 • $100
Problem 3 Suppose that lengths of tails of adult Ring-tailed Lemurs are normally distributedwith mean 50 cm and standard deviation 5 cm. Photo From: "lemur." Online Photograph. Britannica Student Encyclopædia. <http://student.britannica.com/eb/art-52836>.
What is the probability that a randomly selected adult ring-tailed lemur has a tail that is 45 cm or shorter? • 0 • 0.1587 • 0.8413 • 1
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? • 0.02519 • 0.1587 • 0.3174 • 0.8413
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…
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.
Questions? • You may ask any questions about the study now. • If you have more questions later, contact: • Herle McGowan, 258 West Hall, hmcgowan@umich.edu; OR • Brenda Gunderson, 445A West Hall, 734-615-2830, bkg@umich.edu.
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 CTools>Lab Info.
Now… • We would like to learn more about you • About your attitudes towards Statistics & clickers • About your basic knowledge of Statistics • First, go to CTools>Lab Info and find the link: • Stat 350 Early Attitudes • Then, go to CTools>Lab 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!