Math 160 D

Fall 2011

Exam 2 Review

Disclaimer: I have attempted to be comprehensive in the following, but important items may have been omitted by mistake. If you see such an omission, please let me know, but you are responsible for all of the lecture material to date.

The end-of-section summaries are particularly useful for your review.

The second hour exam for Math 160 will be held on Friday, October 28, and will cover chapters 3 and 4 (skipping section 4.5).  In particular, be prepared to:

• Define terms that we have encountered in these two chapters.  While we have been doing some calculations since the past exam, we have had plenty of definitions thrown at us.  Please be able to give clear and precise definitions of all the terms we have seen in the material covered.  As mentioned above, although you are responsible for all terms defined in class, the end-of-section summaries remind us of most (if not all) of them.
• Be able to describe how we can obtain data by experiments and by sampling.  Be able to define terms associated with experiments and samples.  For example, terms such as treatments, factors and levels and the distinction between populations and samples are particularly important.  Be able to use table B to select a sample from a set.  Be able to draw suitable diagrams. 
• Be able to discuss sampling variability and sampling distributions
• Be able to discuss bias and variability
• Be able to discuss issues in ethics and the role of the IRB.
• Be able to solve basic probability problems.
• Know the rules of probability and be able to use them to assign probabilities to outcomes and events
• Know the basics of set theory (subset, intersection, union, the empty set)
• Be able to work with discrete random variables and to calculate the mean (AKA mathematical expectation) and standard deviation of discrete random variables.  Be able to work with sums and linear transformations of means and variances.
• Be able to describe the law of large numbers.

A calculator may be used for this exam, but only to calculate arithmetical operations (add, subtract, multiply, and divide).  You may not use the statistical functions of your calculator on this exam.

Any questions? Please ask!