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Papers On Mathematics
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Sir Isaac Newton
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This 11 page paper begins with a brief biography of Sir Isaac Newton. His major ideas, discoveries, inventions and works are identified. The Newton - Leibniz calculus controversy is discussed. Those who influenced Newton's works are identified. His legacy and impact in the fields of mathematics and science as well as the world's beliefs about the nature of the universe are discussed. The writer also comments on the role of the apple in Newton's thoughts about gravity. Bibliography lists 8 sources.
Filename: PGnewton.rtf
Solomon Lefschetz
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5 pages in length. Solomon Lefschetz, touted as one of the most revolutionary mathematicians of all time, played a major role in the progress of American mathematics at the turn of the century and beyond. He was a Russian-born mathematician who, after earning his United States citizenship in 1912, christened a new era in American mathematics by way of his comprehensive methods and development of algebraic topology. The writer chronicles his life's achievements and demonstrates how beneficial his accomplishments were to the United States. Bibliography lists 4 sources.
Filename: Lefschet.wps
Space Age Mathematics Education
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A 20 page paper discussing the relationship
between reforms in math education in the 1960s and 1970s and conditions in the space
program. The Soviet Union launched Sputnik in 1957, and then was the first to put a man in
space in 1961. Alan Shepard became the first American in space only three weeks later, but he
did not orbit the Earth as the Russian astronaut did. Technological innovation and national
embarrassment gave impetus to the change in math education in the early 1960s and the shift
to New Math, but we allowed the pendulum to swing too far in the US. Further technological
innovation and the reality of poor performance on an international level now is giving impetus
to additional change, one approaching more of a middle ground. The paper also discusses the
international interest in math education reform beginning in 1958. Bibliography lists 17
sources; includes an outline of the paper.
Filename: KSmath1960s.wps
SPSS Analysis
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This 5 page paper uses SPSS to show the student how to perform specific calculations, the paper shows the result, but does mot give instructions.
Filename: TESPSS01.rtf
SPSS Analysis
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This 8 page paper uses a data set provided by the student to formulate an hypothesis and show how to perform an analysis using SPSS, with a summary of the population sample and descriptive tables followed by tests such as Pearson and Spearmans to test for correlation. The bibliography cites 1 source.
Filename: TESPSScase.rtf
STATISTCAL TECHNIQUES AND DATA PRESENTATION
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The 7-page paper focuses on statistical evaluation methods, qualitative and quantitative techniques for collecting data and methods of how to present data once it is collected. Particular focus on is placed on the Kirkpatrick and Phillips models of data collection.
Filename: MTdatpre.rtf
Statistic Analysis of a Department
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This 9 page paper shows the student how to use statistical measures to examine the employees in a department. The data used is examined using averages and distribution by gender and presented with graphs and pie charts. The paper also shows how a Chi Squared test can be used to examine the data. The bibliography cites 3 sources.
Filename: TEstathrm.rtf
Statistical Analysis
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This 4 page paper looks at an article supplied by the student that looks at the relationship between the adjustment of female prisoners and any history of sexual abuse. The paper uses statistical analysis to examine the sample of the study. The bibliography cites 1 source.
Filename: TEstatfemale.rtf
Statistical Analysis of 36 Airports Characteristics and Performance
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This 20 page paper examines a case provided by the student in the form of results tables for airports. The paper looks first at the characteristics of international airports using statistics looking at revenue number of passengers and level of cargo carried as well as average profit levels. The second part of the paper carries out a statistical analysis of performance, looking at average and individual airports in terms of revenue per employee, per landing and take of and per tonne of cargo. The paper also contains a Chi Squared test to assess if there is any relationship between profit level and airport size.
Filename: TEaiperf.rtf
STATISTICAL ANALYSIS OF JOURNALISTIC DATA
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This 5 page paper extracts a sex survey number and disproves its claim based on statistical probabilities, including linear correlation and regression, sampling, and hypothesis testing. Bibliography lists 2 sources.
Filename: MBsexstat.rtf
Statistical Analysis of Research Results
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This 3 page paper uses a basic statistical analysis to examine research results supplied by the student using mean, median, mode, skewness and standard deviation when comparing a new medical treatment with an existing treatment. The bibliography cites 5 sources.
Filename: TEsurvresl.rtf
Statistical Analysis of the House Banking Scandal
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This 6 page paper considers the statistical analysis of The House Banking Scandal, also known as Rubbergate. The writer also demonstrates to the student how they may undertake a chi squared hypothesis test. The bibliography cites 2 sources.
Filename: TErubgat.rtf
Statistical Analysis of Website Use
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A 4 page paper analyzing a study and suggesting descriptive statistics that could have been used in data analysis. Thomson (2001) sought to determine whether the existence of community networks enhances the social capital in rural Scotland. She chose to study a single community network site, assessing the qualities of the site and surveying visitors reactions and comments. The notion that a local web site can positively contribute to the social capital of an area is a perspective that communities in any area of the world could use to build social capital. Bibliography lists 2 sources.
Filename: KSstatStudyAna.rtf
Statistical Evaluation of a New Software Package
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A 3 page paper presenting rationale for using nonparametric testing to measure the effects of use of a software package by salespeople in diverse sales regions. Senior management at Company W seeks appropriate evaluation measures to determine the potential usefulness of the software to the sales force. The purpose here is to provide possible null and alternative hypotheses for a non-parametric test on this data using the chi-square distribution. Bibliography lists 4 sources.
Filename: KSstatsSoftAsse.rtf
STATISTICAL METHODS OF ENTRY INTO CHINA
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This 8-page paper determines if it's good business sense for a fiberglass door manufacturing company to enter China. The case study also includes two statistical tools to determine if this is a good idea. Bibliography lists 4 sources.
Filename: MTchista.rtf
STATISTICAL TECHNIQUES
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This 6-page paper discusses some statistical terms and when they are used such as bivariate and univariate analysis and regression versus crosstabulation. Bibliography lists 3 sources.
Filename: MTsttech.rtf
Statistical Testing
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This 5 page paper shows the student had to answer some statistical questions. Questions are answered using t-test in order to compare means of samples; independent and paired. The use of the p statistic in determining probability is also demonstrated. The paper also presents a bell curve to explain the way that they statistical tests were carried out to compare the means. The bibliography cites 3 sources.
Filename: TEstatqu1.rtf
Statistically Assessing Effectiveness of a Gas Additive
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A 6 page paper offering a study design for assessing the claims of the manufacturer of a gas additive that users will achieve a minimum of 25 percent increased fuel efficiency with the use of its product. The purpose here is to identify appropriate statistical tests of data, including ANOVA, Chi-square and similar statistical techniques.. Bibliography lists 4 sources.
Filename: KSstatBizGasAdd.rtf
Statistically Assessing Quality at Wilson Tire
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A 6 page paper finding the design shortcomings of a test of tire longevity and discussing appropriate statistical measures that should be used. Winston Tire Company claims its new tires last for 40,000 miles. This is presented not as a guarantee of minimum mileage purchasers can expect, but rather as an average. An independent agency road-tested 100 tires in an effort to evaluate the companys claims, creating a sample of n = 100. An independent testing agency has tested Wilson tires and found them lacking, but the truth is that the study is so poorly designed that the agency cannot make any definitive determination about the quality of Wilson tires. The purpose here is to identify appropriate statistical tests of data. Bibliography lists 4 sources.
Filename: KSstatBizWilson.rtf
Statistically Assessing Typing Speeds
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A 6 page paper presenting ANOVA analysis of three sets of data addressing environmental conditions in which data entry personnel work. After testing, the company's owner decides she will forego the music but will bring a coffee service into the office. The pro-music contingent is disappointed, but they agree with the decision based on results. Though there is less variation when typists have rock music in the background, per-minute speed is much greater when individuals are working in silence as they do their work while drinking more easily-obtainable coffee. Bibliography lists 3 sources.
Filename: KSstatANOVAx3.rtf
Statistics Multiple Choice
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5 pages answering 26 multiple-choice review questions addressing items such as sum, mean, mode, median, scale, skewness. Bibliography lists 2 sources.
Filename: KSstatsMultChoice.rtf
Statistics Multiple Choice 2
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3 pages answering 11 multiple-choice review questions addressing items such as variance and standard deviation. Bibliography lists 3 sources.
Filename: KSstatMultCho2.rtf
Statistics Overview
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A 5 page paper discussing the science of statistics and its use in
today's environment. The study and use of statistics must be done in such a way that an accurate
view results from statistical manipulation. Some statistical errors are benign and result primarily
from ignorance or poor research design. Others, however, are intentionally promoted for the
purpose of "proving" a desired outcome. Bibliography lists 7 sources.
Filename: KSstatistics.wps
Statistics Questions
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A 5 page paper answering 4 general statistics questions associated with social research. Topics include correlation vs causation; interpreting correlation; dealing with outliers in regression analysis; and evaluating the wisdom of researcher-coding of open-ended questions in a qualitative study. Bibliography lists 5 sources.
Filename: KSstatsRegQu.rtf
Statistics Questions
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A 7 page paper answering six general statistics questions, such as When should you use an ANOVA (analysis of variance) and when should you use linear regression? and What are the appropriate univariate, analytical and inferential statistics to use with data measured at the nominal and ordinal levels? Bibliography lists 4 sources.
Filename: KSstatsQues.rtf
Statistics Questions
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A series of statistics questions answered in 15 pages. Topics include standard scores, correlation, linear regression, random sampling and probability, sign test, t-tests, chi-square and hypothesis testing and significance. Bibliography lists 5 sources.
Filename: KSstatsQues5.rtf
Statistics Questions (Week Two)
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A 7 page paper answering four statistics questions focusing on ANOVA problems. Problem topics include ABC Corporation and Riverside, CA employment; trash bag strength; ColorSmart-5000 televisions; and a comparison between the records of Arnold Palmer and Tiger Woods. Bibliography lists 3 sources.
Filename: KSstatsWk2Ques.rtf
Statistics Questions 6
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6 pages of answers to statistics problems in percentile, quartile, central tendency and Chebyshev's theorem. Bibliography lists 2 sources.
Filename: KSstatsQue6.rtf
Statistics Questions 7: Probability
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8 pages of statistics problems solutions. Questions address union, intersection, random selection, Bayes' theorem and total probability. Bibliography lists 2 sources.
Filename: KSstatsQues7Prob.rtf
Statistics Questions and Calculations
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A 6 page paper briefly answering more than 15 questions requesting calculation of frequency tables, correlation coefficients and a regression equation. Other questions ask for definitions and calculation of mean, median, unimodal distribution, standard deviation and several other basic statistics tools. Includes several charts and tables. Bibliography lists 3 sources.
Filename: KSstatsQues2.rtf
Statistics Questions and Calculations, #2
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A 7 page paper discussing six questions in elementary concepts in statistics, particularly those useful in empirical studies. Questions include the topics of frequency table and distribution; finding items of descriptive statistics such as median and standard deviation; the null hypothesis; statistical significance; and sample size required to achieve statistically significant results. Bibliography lists 4 sources.
Filename: KSstatsQues3.rtf
Statistics Questions and Exercises
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A 5 page paper supplying a line chart, a histogram and several data tables. Topics include frequency table, frequency histogram, ogive and basic descriptive statistics values such as mean and standard deviation. Bibliography lists 3 sources.
Filename: KSstatsQuest4.rtf
Statistics Selection
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A 4 page paper discussing kinds of statistical analyses that can be performed on information already existing or which can easily be obtained within an outpatient ambulatory surgery center to improve operations. If patients move through the surgery center in a straight-line fashion, then it is likely that alteration of process could increase the centers daily capacity without significantly increasing costs, thereby increasing the centers profitability without adversely affecting patient experience. Bibliography lists 2 sources.
Filename: KSstatsSelect.rtf
Statistics: T-Ratio and the Homogeneity of Variance
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5 pages in length. Identifies, definies and interprets the methods for evaluating the non-homogeneous data sets. Looks at both t-ratios and homogeneity of variance. Bibliography lists 6 sources.
Filename: JGAtrtio.wps
Stem Cell Research: the Science and the Ethics
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A 12 page overview of stem cell research and the potentially wonderful applications that research could be applied to in the future. The author emphasizes, however, that stem cell utilization requires the harvest of cells. The primary donors are aborted fetuses. The contention is presented that until that limitation can be overcome, stem cell applications are unethical in that they depend on taking the life of one individual to enhance the life of another. Bibliography lists 15 sources.
Filename: PPstemC4.rtf
Stuiks A Concise History of Mathematics
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This 4 page paper is a review of the book A Concise History of Mathematics by Dirk J. Struik. The paper reviews the content and the style of the book which was first published in 1948 and traced the development of mathematical theory form prehistory to the first half of the twentieth century. The bibliography cites 2 source.
Filename: TEconhist.rtf
Summaries for Articles Related to Statistics
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This 3 page paper briefly relays information from three articles. One relates to the teaching of statistics while another talks about the controversy surrounding the Monty Hall game. Finally, the third article is about probability and the Chinese game of Go. Bibliography lists 3 sources.
Filename: SA433art.rtf
Surviving College Math: The Frustrations of a Student That Has Not Performed Well in Math Since High School
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A 3 page informal assessment of the many things that are different about the college environment and the high school environment that might account for decreased performance in mathematics. Noting the different teaching styles, living arrangements, and the many frustrations of life on campus; the author of this paper emphasizes that the only one that can take responsibility for student success is the student themselves. No sources are listed.
Filename: PPmathPr.rtf
T-Test and Z-Test Use for Business Decision Research
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This 4 page paper provides an overview of the use of t-test and z-tests for business decision research. This paper outlines the application of these statistical tests. Bibliography lists 4 sources.
Filename: MHTZTest.rtf
Teaching Division
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This 9 page paper looks at how division may be taught to children, looking at the different ways a rectangles may be divided, the use of tables to identify a pattern, and how these can be used to show a student how maths and division works. The bibliography cites 4 sources.
Filename: TEmaths2.rtf
Teaching Maths
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This 5 page paper considers the role of small group teaching in mathematics according to Cohens Equal Exchange Model. The witer considers different mathematical topics to differentiate between the topics that should be taught individually, those that can increase value to the student when small groups are used and those where a combination approach may be best. The bibliography cites 4 sources.
Filename: TEtchmth.rtf
Testing Dow Chemicals Commitment to the Triple Bottom Line
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An 8 page paper elaborating on the problem statement, hypotheses, sampling and statistical method used in the companion paper, KSmgmtDowTBL.rtf. The proposed method is that of applying regression analysis to Dows stock price performance after April 1994, the date that the company announced it would halt production of 1,1,1 trichloroethane by December 1995, years in advance of the cessation required either by international treaty by 2005 or by the US 1990 Clean Air Act by 2002. The goal is to determine whether Dows commitment to social responsibility and sustainability correlates with financial performance (i.e., the triple bottom line). Bibliography lists 8 sources. Includes an appendix containing expenditures 1993-2002 for environmental restoration and prevention, and another containing stock price data for the sample period.
Filename: KSmgmtDowTBLmeth.rtf
Testing Hypotheses
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A 5 page table template containing answers to six questions discussing hypothesis testing . Each problem requires H[sub 0] and H [sub A] in equation form, significance level, critical value and others leading to a conclusion of whether to accept or reject the null hypothesis. Bibliography includes 4 sources.
Filename: KSstatsTestHypTemp
The Creative Genius of Albert Einstein
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This 7 page paper look's at the character and through processes of Albert Einstein. The way in which many discoveries were only stepping stones to the next greater discovery is discussed along with the effect that his genius had on his life. The bibliography cites 6 sources.
Filename: TEalbein.wps
The Derivative In Average & Instantaneous Velocity
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A 5 page paper explaining both average and instantaneous velocities. The writer demonstrates the relationship between the derivative and these primary functions. Bibliography lists 4 sources.
Filename: Velocity.wps