# Chance ( Math 5 ) Syllabus

Course description:

In this course, we will use current events, guest lectures, and personal experiences, to examine fundamental statistical and probabilistic concepts as they appear in daily life. By the end of the course, you will be able to critically analyze the statistics you come across in your day-to-day life. Throughout the course, you will produce and analyze statistical information of your own. You will also evaluate other students' analyses. This term, we are very fortunate to have scheduled guest speakers from the fields of risk assessment, Bayesian statistics, psychology, sociology, and political science. Their lectures will illuminate how statistical inference is applied in their respective fields, giving students an opportunity to ask questions of researchers in varied disciplines, and a perspective on the widespread use of statistical inference.

We may view statistics as the organization and analysis of data. The following quantity would be an example of a statistic: the percentage of people in the US who own a pinball machine. There are several useful statistical ideas which we will explore in this course, including the average, the standard error, and the correlation coefficient. Sometimes a statistic is best understood with a picture as opposed to a number, and we will study such visual aids including: the histogram, the scatter plot, and the regression line.

Probability may be viewed as an attempt to understand randomness. For example, one might use probability to make sense of the following question: If you chose a person in the US at random, what is the chance that they own a pinball machine? We will explore several probabilistic concepts, including that of model, expected value, variance, confidence intervals, along with certain explicit models including the binomial model, normal distributions, and the models which arise in various gambling situations.

Many of the issues explored in Chance lie at the intersection of statistics and probability. For example, you might interview 1,000 US citizens and ask them "Do you own a pinball machine?" and then collect the following statistic: the percentage of these 1,000 people who own a pinball machine. Suppose 8% of those interviewed answered yes. With what right do you have to claim that 8% of the US population owns a pinball machine? To answer this, one has to understand how to give a statistic meaning with probability, which can be quite a tricky business. Information will be presented to you in this form throughout your life, and it is likely that you will make decisions based on such information. The primary goal of this course to help you better understand such information, allowing you to make more educated decisions in situations where statistics arise.

Assignments and Grading: Your grade for the course is based on individual and group projects (75%), a critique of other students' work (10%), class participation (10%), and weekly quizzes (5%). See the Grading and Schedule part of the web page for more detailed information.

Text: Statistics for the Utterly Confused, by Lloyd R. Jaisingh, available in the Dartmouth Bookstore.

Computing: We will be computing and organizing data with the help of the Excel and Maple programs, both of which are available on Public. Everyone should make sure that they have access to a computer running both these programs.

Chance Web Site: A lot of interesting information can be found at the the Chance web site, http://dartmouth.edu/~chance/.

Honor Policy: Collaboration is encouraged during all phases of this class, excluding the writing up of your individual projects and critique. That said, you must indicate all collaboration on an assignment when it is handed in, and give credit to the people involved.

Students with Disabilities: We encourage students with disabilities, including invisible disabilities, like chronic diseases and learning disabilities, to discuss with us any appropriate accommodations that might be helpful. You should do this by the end of the second week of the term, to ensure that we will have time to devise a workable solution. You should also contact the Academic Skills Center in 301Collis. All discussions will be confidential between the student and the two instructors, although we may need to consult the Academic Skills Center to verify registration for their services, and to discuss appropriate implementation. Please do not wait to come talk to us; we want to provide an optimal learning environment; to do this, we need information from you.