Volleyball…the serve
By Patty Geroulis
Abstract:  Through the use of differential equations, we compare a volleyball serve without spin to a serve with spin, and conclude that spin does effect the sensitivity, efficiency, and effectiveness of a serve.

Is our Binormal Bimodal?
By Kathryn Nyman
Abstract:  Given two normal distributions with means u₁ and u₂ and common standard deviation m we predict the shape of the probability density function of the distribution made of these normals in proportions a and 1-a.

Code Breaking – The First Step
By Eric P. Kamprath
Abstract:  We propose a statistical method for determining the object key length of transposition and polyalphabetic substitution ciphers.  The method involves a modified version of the index of coincidence function described in Frederick Gass’s article “Solving a Jules Verne Cryptogram.”

  So You Want to Make a t-value
By Michael J. Reske
Abstract:  If we begin with an approximately normal distribution, then the sampling distribution of the mean for small samples of a fixed size will have the Student t distribution.  The accuracy of these Student t-values for specific distribution is examined and a process for generating more appropriate “t-values” is constructed.

  Did “Catfish” Win Today?
By Scott C. Reske
Abstract:  In trying to figure out whether or not a pitcher wins or loses any certain game, we are interested in the correlation between a baseball pitcher’s statistics (e.g. ERA, hits, etc.) and winning percentage.  Using actual data from the 1991 baseball season for both starters and relievers in both the American and National League, we have two gals: to rate each statistic individually in terms of its contribution to winning percentage and to create an accurate model to predict winning percentage using the fewest number of statistics.

  The Dictator’s Trick
By Tomislav Galac
Abstract:  The calculated allocation of voters into electoral districts is one of many manipulations that ensure former dictators win the “first democratic” elections in their countries.  The Dictator’s Trick is a method of allocation that ensures both the victory of the dictator and a seemingly democratic and fair election process.

  Let’s Make a Deal
By Brian M. Nach
Abstract:  Why, if talents and abilities are normally distributed, are incomes, which should ideally represent rewards for talents and abilities, not normally distributed as well?  Using actual income data, we offer a possible solution.

  Fundamental Regions For the Torus
By Brandon Cue
Abstract:  Working from a construction of Adler and Weiss, we devise a new method for constructing a fundamental region for the two-dimensional torus which uses three integer lattice points to define the boundary.

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