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Math Phase II

Equations did not copy/paste right so do not refer to this page to do the assignment, as you know of course. 馃檪 聽Refer to attached document/pdf.For the project you should identify three research questions that can be addressed through different hypothesis testing procedures. Your submission should include the following components.1.聽聽聽聽聽 Introduction: Briefly describe (in words) each of the three research questions and your motivation for studying them (not more than two pages). For each test you should state your null hypothesis and alternative hypothesis.2.聽聽聽聽聽 Hypothesis tests: for each of the three tests clearly discuss: (1) the data used to conduct the test, (2) any assumption that you need to make in order to conduct the test including support for making these assumptions, (3) the test and its results, (4) the statistical significance of your findings.3.聽聽聽聽聽 Summary: summarize your findings form the analysis. What do you conclude about the hypothesis you raised? Identify key limitations of your analysis (including any limitations of the data set), contributions that you believe your analysis makes to the readers, and any interesting directions for future analysis (not more than three pages)Project sample is shown as below:Introduction: The Doll Computer Company makes its own computers and delivers them directly to customers who order them via the Internet.To achieve its objective of speed, Doll makes each of its five most popular computers and transports them to warehouses from which it generally takes 1 day to deliver a computer to the customer.This strategy requires high levels of inventory that add considerably to the cost.To lower these costs the operations manager wants to use an inventory model. He notes demand during lead time is normally distributed and he needs to know the mean to compute the optimum inventory level.He observes 25 lead time periods and records the demand during each period.The manager would like a 95% confidence interval estimate of the mean demand during lead time. Assume that the manager knows that the standard deviation is 75 computersHypothesis Tests:25 observed lead time shown below235聽聽聽 374聽聽聽 309聽聽聽 499聽聽聽 253421聽聽聽 361聽聽聽 514聽聽聽 462聽聽聽 369394聽聽聽 439聽聽聽 348聽聽聽 344聽聽聽 330261聽聽聽 374聽聽聽 302聽聽聽 466聽聽聽 535386聽聽聽 316聽聽聽 296聽聽聽 332聽聽聽 334Interpret the question路聽聽聽聽聽聽聽聽 X represents demanda.聽聽聽聽聽聽 X~N (碌,75)路聽聽聽聽聽聽聽聽 未x=75 (standard deviation)路聽聽聽聽聽聽聽聽 n=25路聽聽聽聽聽聽聽聽 We would like to create a 95% confidence interval for the mean demand based on our sample of 25 lead time periods路聽聽聽聽聽聽聽聽 What do we need to know?x虅 +Z伪/2路聽聽聽聽聽聽聽聽 Compute the sample mean (X-bar) = 370.16路聽聽聽聽聽聽聽聽 Finding Z伪/2a.聽聽聽聽聽聽 Looking for Z伪/2 such that:b.聽聽聽聽聽 P(-Z伪/2  

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