Business Applications of Hypothesis Testing and Confidence Interval Estimation

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Rice University

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Confidence intervals and Hypothesis tests are very important tools in the Business Statistics toolbox. A mastery over these topics will help enhance your business decision making and allow you to understand and measure the extent of ‘risk’ or ‘uncertainty’ in various business processes. This is the third course in the specialization "Business Statistics and Analysis" and the course advances your knowledge about Business Statistics by introducing you to Confidence Intervals and Hypothesis Testing. We first conceptually understand these tools and their business application. We then introduce various calculations to constructing confidence intervals and to conduct different kinds of Hypothesis Tests. These are done by easy to understand applications. To successfully complete course assignments, students must have access to a Windows version of Microsoft Excel 2010 or later. Please note that earlier versions of Microsoft Excel (2007 and earlier) will not be compatible to some Excel functions covered in this course. WEEK 1 Module 1: Confidence Interval - Introduction In this module you will get to conceptually understand what a confidence interval is and how is its constructed. We will introduce the various building blocks for the confidence interval such as the t-distribution, the t-statistic, the z-statistic and their various excel formulas. We will then use these building blocks to construct confidence intervals. Topics covered include: • Introducing the t-distribution, the T.DIST and T.INV excel functions • Conceptual understanding of a Confidence Interval • The z-statistic and the t-statistic • Constructing a Confidence Interval using z-statistic and t-statistic WEEK 2 Module 2: Confidence Interval - Applications This module presents various business applications of the confidence interval including an application where we use the confidence interval to calculate an appropriate sample size. We also introduce with an application, the confidence interval for a population proportion. Towards the close of module we start introducing the concept of Hypothesis Testing. Topics covered include: • Applications of Confidence Interval • Confidence Interval for a Population Proportion • Sample Size Calculation • Hypothesis Testing, An Introduction WEEK 3 Module 3: Hypothesis Testing This module introduces Hypothesis Testing. You get to understand the logic behind hypothesis tests. The four steps for conducting a hypothesis test are introduced and you get to apply them for hypothesis tests for a population mean as well as population proportion. You will understand the difference between single tail hypothesis tests and two tail hypothesis tests and also the Type I and Type II errors associated with hypothesis tests and ways to reduce such errors. Topics covered include: • The Logic of Hypothesis Testing • The Four Steps for conducting a Hypothesis Test • Single Tail and Two Tail Hypothesis Tests • Guidelines, Formulas and an Application of Hypothesis Test • Hypothesis Test for a Population Proportion • Type I and Type II Errors in a Hypothesis WEEK 4 Module 4: Hypothesis Test - Differences in Mean In this module, you'll apply Hypothesis Tests to test the difference between two different data, such hypothesis tests are called difference in means tests. We will introduce the three kinds of difference in means test and apply them to various business applications. We will also introduce the Excel dialog box to conduct such hypothesis tests. Topics covered include: • Introducing the Difference-In-Means Hypothesis Test • Applications of the Difference-In-Means Hypothesis Test • The Equal & Unequal Variance Assumption and the Paired t-test for difference in means. • Some more applications

假设检验和置信区间估计的商业应用:置信区间和假设检验是“业务统计”工具箱中非常重要的工具。精通这些主题将有助于您改进业务决策,并使您了解和衡量各种业务流程中“风险”或“不确定性”的程度。 这是“商业统计和分析”专业中的第三门课程,通过向您介绍置信区间和假设检验,您可以提高对商业统计的了解。我们首先从概念上了解这些工具及其业务应用程序。然后,我们介绍各种计算方法以构建置信区间并进行不同种类的假设检验。这些都是通过易于理解的应用程序完成的。 要成功完成课程分配,学生必须有权访问Windows版本的Microsoft Excel 2010或更高版本。请注意,Microsoft Excel的早期版本(2007和早期版本)将与本课程介绍的某些Excel功能不兼容。 第1周 第1单元:置信区间-简介 在本模块中,您将在概念上了解置信区间是什么以及其构造方式。我们将介绍置信区间的各种构建块,例如t分布,t统计量,z统计量及其各种excel公式。然后,我们将使用这些构件来构建置信区间。 涵盖的主题包括: •引入了t分布,T.DIST和T.INV excel函数 •对置信区间的概念理解 •z统计量和t统计量 •使用z统计量和t统计量构造置信区间 第2周 模块2:置信区间-应用 该模块介绍了置信区间的各种业务应用程序,其中包括我们使用置信区间来计算适当样本量的应用程序。我们还通过应用介绍人口比例的置信区间。在模块结束时,我们开始介绍假设检验的概念。 涵盖的主题包括: •置信区间的应用 •人口比例的置信区间 •样本量计算 •假设检验,简介 第3周 模块3:假设检验 本模块介绍假设检验。您将了解假设检验的逻辑。介绍了进行假设检验的四个步骤,您可以将它们应用于总体均值和总体比例的假设检验。您将了解单尾假设检验与两个尾假设检验之间的区别,以及与假设检验相关的I型和II型错误以及减少此类错误的方法。 涵盖的主题包括: •假设检验的逻辑 •进行假设检验的四个步骤 •单尾和两个尾假设检验 •准则,公式和假设检验的应用 •人口比例假设检验 •假设中的I型和II型错误 第4周 单元4:假设检验-均值差异 在本模块中,您将应用假设检验来测试两个不同数据之间的差异,这种假设检验称为均值检验中的差异。我们将介绍三种经济差异测试,并将其应用于各种业务应用程序。我们还将介绍Excel对话框来进行这种假设检验。 涵盖的主题包括: •引入均值差异假设检验 •均值差异假设检验的应用 •平等与平等方差不均等假设和均值配对t检验。 •更多应用

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