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Papers On Mathematics
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Probability
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This 7 page gives a comprehensive view of probability, explaining how to calculate probabilities, looks at the basic concepts and how probabilities are used giving examples such as decision making, marketing and medical research. The bibliography cites 4 sources.
Filename: TEprobab.rtf
Probability and Sampling
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This is a 5 page paper discussing probability sampling. To properly understand inferences within a population, researchers have developed methods of sampling which combine with the concept of probability to acquire the desired results. There are various types of probability sampling each of which has its own advantages in regards to capturing a specific trend within the population. Sampling sizes are based on several factors as well which include level of confidence, population size, and sampling error among other factors.
Bibliography lists 6 sources.
Filename: TJprobs1.rtf
Probability Case Study
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This 3 page paper examines a probability cases presented by the student. A couple are convicted of a crime based on their description and the statistical probability of the couple being a 1 in 12 million chance, calculated with independent variables. The paper looks at how and why the conviction may have been overturned at appeal, considering the way the probability was calculated and the way that probabilities were determined in the first place.
Filename: TEprobcase.rtf
Probability in Practice
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A 3 page paper addressing the fact that probability analysis often goes awry. This paper explores the potential problems that could have led to the failure of all of the engines on a three engine aircraft. Bibliography lists 1 source.
Filename: PPprobab.rtf
Pythagoras & Morality In Greek Philosophy
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A 9 page paper on theories of morality in Greek philosophy focusing upon the works of Pythagoras. Pythagoreanism is seen only as a theory of the universe but also as a way of salvation. Bibliography lists 5 sources.
Filename: Pythagor.wps
Pythagoras / The Philosopher, The Mathematician
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A 15 page account of what is known of the life and scientific and mathematical contributions of Pythagoras. Particular attention is paid to the religious beliefs of his Pythagorean Order and how their beliefs has made it difficult to get a true understanding of Pythagoras' contributions to science and mathematics. A summary of the contributions which have been attributed to Pythagoras is included. Emphasis is placed on the Pythagorean Theorem, the principles which determine the concordant scale, and musical spheres. Information is also provided regarding current thought regarding Pythagoras' beliefs concerning vegetarianism, the human and animal soul and reincarnation. A brief overview of his ethnic origins, his birthplace, his studies, and travels is also included. Bibliography lists six sources.
Filename: Pyth.wps
Pythagoras Theorem and Pythagoras Triples
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This 10 page paper explain these theories, giving examples of the formulas as well as the way in which they can be used and proven. The paper includes different illustrations to prove the theories. The bibliography cites 6 sources.
Filename: TEpytago.wps
Quadratic Equations; Competing the Square and Using a Quadratic Formula
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This 3 page paper describes and shows the student how to solve quadratic equations using the completing the square method and using an equation. The paper includes a step by step solution to a problem.
Filename: TEquadeq.rtf
Quantitative Measures at Carstab
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A 7 page paper discussing how the use of statistics and probability can be applied in making business decisions that affect the bottom line. The example used is a chemical manufacturer (Carstab) that produces a product needed by many customers but needed by one in higher grade. Most of the lots of product that Carstab makes is acceptable to this single customer, but nearly half are not. Carstab develops a pretest resulting in indicating that 90% of what the company sends the customer will be acceptable. The paper discusses this scenario, along with a "what if" discussion of a different set of probability values. Bibliography lists 8 sources.
Filename: KSprobCarstab.rtf
Questions and Prompts Mathematical Thinking
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This 3 page paper looks at the value and use of prompts and questions in the teaching of mathematics in post compulsory education. The paper considers why questions and prompts can be important in developing mathematical thinking and considers the ideas of theorists including Zygfryd Dyrszlag. The bibliography cites 4 sources.
Filename: TEqprompt.rtf
Regression Analysis
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This 3 page paper uses data already supplied to undertake a regression analysis looking at the level of fatalities that may be excepted in future years as a result of driving with different blood alcohol levels. The bibliography cites 2 sources.
Filename: TEalcoholreg.rtf
Regression Analysis Using Health Statistics
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This 4 page paper uses health data on live expectancy for males over a period of time to demonstrate the use of regression analysis. The data is presented, the method of analysis and results are discussed and presented in graph form. The paper ends by looking at the potential of model breakdown. The bibliography cites 2 sources.
Filename: TEreghealth.rtf
Reliability and Validity in Statistical Studies
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A 5 page paper discussing reliability and validity. The paper begins with defining the terms; how they relate to each other; and why they are important in statistics. It then identifies statistical tests, and concludes with an example. Bibliography lists 4 sources.
Filename: KSresReliabVal.rtf
Reliability In The Context Of Measurement Error
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5 pages in length. The writer discusses reliability in the context of measurement error, as well as addresses the notion of statistical significance as it applies to the evaluation of correlation coefficients used as measures of
reliability. Bibliography lists 5 sources.
Filename: TLCrelia.doc
Research Methods And Statistics
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This 32 page paper looks at the subject of research in detail. The paper is written in eight sections as follows; the relationship between theory and research, the different ways in which knowledge is gained, scientific method, systematic inquiry, the use of statistics, including descriptive and inferential statistics and how they may be used, experimental, historical and statistical methods of research, null hypothesis and the way in which quantitative research may be undertaken from the selection of the sample and design of the questionnaires, to the final correlation of the data gathered in. The bibliography cites 10 sources.
Filename: TEstatre.wps
Research Outlines
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A collection of five one-page outlines addressing mathematics education
history and how the learning disabled have been accommodated in the past century, but also the
changes in technology and society that have made the teaching and learning of mathematics
increasingly important in today's world. The final outline addresses these issues in an international
context; the one before it addresses the same information focusing on the US. Bibliography lists
11 sources.
Filename: KSposOutlin.wps
Results of a Survey on Child Welfare
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This 6 page paper uses results generated by SPSS following a survey undertaken by the student and gives an analysis of the results, giving figures such as mean, median, mode, range and standard deviation, and looks at frequencies and then interprets the figures. The survey concerned child welfare, specifically poverty and abuse. The bibliography cites 6 sources.
Filename: TEcwelfareq.rtf
Review of "An Alternative Approach: The Unfolding Model of Voluntary Employee Turnover"
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A 6 page paper reviewing and discussing this study of why nurses chose to leave their jobs in the mid-1990s. The paper discusses the general focus of the study but concentrates on assessing the authors' use of statistical analyses for appropriate tests, reliability and validity. Bibliography lists 4 sources.
Filename: KSstatArtRevEmp.rtf
Roman and Mayan Maths
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A five page paper which looks at some of the differences between the Roman and Mayan mathematical systems, and the relative advantages and disadvantages of both. Bibliography lists 3 sources.
Filename: JLalgor.rtf
SALARIES AND STATISTICS
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This 3-page paper offers some calculations to determine mean figures for starting salaries between accountants and financial planners. Also discussed in this paper is the Mann-Whitney-Wilcoxon Test.
Filename: MTsalsta.rtf
Science and rationality: the Greeks
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A paper which looks at the common perception in Western civilisation that the Greeks were responsible for the origins of science and rationality, with reference to pre-Hellenistic theories and the ways in which science can be defined. Bibliography lists 10 sources
Filename: JLgreksci.rtf
Setting Alpha Level
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A 6 page paper discussing the origins and use of alpha in statistical analysis. Alpha is defined as the probability of incurring a Type I error, which is that of rejecting H0 when it is true. It is also found used virtually interchangeably with p-level, which is statistical significance and the exact probability of a Type I error. Bibliography lists 7 sources.
Filename: KSstatsAlpha.rtf
Should Acme Doors Eliminate Inspection?
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A 10 page paper presenting a business statistics exercise. Acme Doors manufactures garage doors that have been found to vary widely in final weight in the plant, a matter that can affect long-term performance and customers’ views of the level of quality of the product. A tenet of TQM is that quality increases as manufacturing efforts are increasingly brought within statistical control. A study sampling final product indicates that Acme’s manufacturing process will need to be refined before it eliminates product inspection in trying to implement TQM in its production activities. Includes 2 tables and 4 charts; PowerPoint presentation available. Bibliography lists 23 sources.
Filename: KSstatBizInsp.rtf
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 Spearman’s 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