Math 160 F

Fall 2013

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, November 1, and will cover from section 2.5 (analysis of two-way tables) through the material on means and standard deviations of discrete random variables section 4.3.  In particular, be prepared to:

• Define terms that we have encountered in these 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 work with two-way tables, including finding marginal and conditional distributions, and to sketch graphs of those distributions.
• 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 distinctions between populations and samples and between  parameters and statistics are particularly important. 
• Be able to use table B to select a sample from a set (table B will be provided for your use if needed). 
• Be able to draw suitable diagrams for the design of experiments. 
• Be able to say what a sampling distribution is.
• Be able to discuss sampling variability and how it might be reduced.
• Be able to discuss bias and how it can be reduced.  What do we mean by an unbiased statistic?
• 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
• Be able to work with discrete random variables and to calculate the mean (AKA mathematical expectation) and standard deviation of discrete random variables.  Know the rules for the means of random variables, but rules for the variances of random variables will not be on this exam.

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.

Please recall that earlier exams in this course are available for your review.  They may be found at Old exams for this class.

Any questions? Please ask!