STA3215CBE Section 02CBE Inferential Statistics and Analytics (11 Weeks) - CBE - 2021 Fall Quarte Deliverable 5 - Hypothesis Tests for Two Samples item options Assignment Content Competency Evaluate hypothesis tests for population parameters from two populations. Student Profile You are a statistician working for a drug company. A few new scientists have been hired by your company. They are experts in pharmacology, but are not experts in doing statistical studies, so you will explain to them how statistical studies are done when testing two samples for the effectiveness of a new drug. The two samples can be dependent or independent, and you will explain the difference. Concept being Studied Your focus is on hypothesis tests and confidence intervals for two populations using two samples, some of which are independent and some of which are dependent. These concepts are an extension of hypothesis testing and confidence intervals which use statistics from one sample to make conclusions about population parameters. Student Success Criteria

This assignment will be completed as a (modified version) of a legal memorandum as documented by CUNY School of Law. (You should not reference their document, as a full legal memorandum is much more complex than what you will be doing.)  Learning Objectives In this assignment you will: Interpret a word problem using the Polya method to determine the problem and the data provided Present data to a non-technical audience Present your statistical approach conceptually to a non-technical audience  Present the document in a coherent and professional way following the instructions for the assignment and using the provided template Assignment Preparation  You will be expected to discuss the elements of this assignment accurately. There are several areas in which students have had difficultly in the past that you may want to make sure you are familiar with by doing some additional research Be sure you clearly understand the specific issue you are discussing. If are not familiar with it take the time to look up some information or watch a video on it before writing about it so, you can speak precisely. Evaluate the information you have been given carefully, using the Polya method we practiced in assignment IDL 3. Be sure you are clear on the difference between the data and your evaluation of it.  Be sure you understand the difference between negligence and liability. Be sure you understand what a class-action lawsuit (Links to an external site.) (Links to an external site.) is.  Video used in the workshop: Hypothesis Testing 01: Going to Court (Links to an external site.) by Rahul Patwari Problem Description ABC Textiles, Inc. has a textile production facility located in Palm City, FL. It lies along a river that is used for drinking water for the surrounding town and is therefore tested regularly for chemical contaminants according to EPA standards. There is also a recreational beachfront with swimming and boating located ½ mile downstream of the plant. Over the last ten years, the incidence of a skin reaction called allergic dermatitis has increased dramatically for swimmers at the recreational beachfront. Due to public concern, the local water utility began checking for elevated levels of several pollutants that cause skin reactions. Over the course of a year, they collected 45 water samples from a location adjacent to the recreational beachfront. These samples were tested and elevated levels of chromium were identified. The EPA’s Maximum Contaminant Level (MCL) for chromium is 0.1 mg/L. With the knowledge that chromium pollution can result from fabric dyeing within textile factories, a group of concerned citizens has brought a class-action lawsuit (Links to an external site.) against ABC Textiles, Inc. The class claims that the company’s textile mill has contributed to elevated chromium levels in the river, causing skin reactions at the local beach. Due to the significance of this litigation, the Judge involved with the case, The Honorable Leia Organa, has brought you in as an expert witness, independent of either side of the litigation, to give your expert opinion on the chromium exceedance. At your request, she is providing you with data from the 45 samples the water utility collected. She has requested that you analyze whether the chromium levels in the river exceed the EPA standard. She is requiring that you complete your work with a high level of confidence, therefore you have suggested using a significance level of .01 (i.e., 99% confidence). You are to provide the jury with which side of the litigation you would support and why in a written document that makes the determination clear and believable to them.  The document you are to provide is to follow the court's template and their Legal memorandum guide. You will also copy the document to Miles Davis, Clerk of the Courts, Michah Bioano, Plaintiffs’ Counsel, and Jay Grabow, Defendant’s Counsel. Sample DateSample NumberChromium Level (mg/L)1-Aug10.0777-Aug20.08620-Aug30.08428-Aug40.0815-Sep50.07813-Sep60.0820-Sep70.08829-Sep80.0933-Oct90.09410-Oct100.11727-Oct110.1135-Nov120.09312-Nov130.09626-Nov140.1181-Dec150.1238-Dec160.12715-Dec170.11521-Dec180.09129-Dec190.0824-Jan200.08811-Jan210.08419-Jan220.09425-Jan 230.11925-Jan 240.1217-Feb250.11214-Feb260.10622-Feb270.111-Mar280.1128-Mar290.09418-Mar300.08231-Mar310.0765-Apr320.07110-Apr330.07519-Apr340.07125-Apr350.0721-May360.0819-May370.07918-May380.08225-May390.0881-Jun400.09212-Jun410.10225-Jun420.1012-Jul430.09216-Jul440.08124-Jul450.08 River Water Chromium Sampling, Palm City, FL download  Assignment Completion  Review and evaluate the problem presented - Using the tools learned in IDL 3 evaluate the problem: what you know, the significance of what you know to the problem, and what information you have that can be used in a statistical problem.  Determine the appropriate hypothesis test to use, given what input you have, the problem, and the statistical tools you have learned. Additionally, determine the appropriate use of the null and alternative hypotheses for the problem.  If it helps you can sketch a diagram of the problem.  Complete the calculation - Complete the statistical analysis of the problem.  Be clear that you understand all of the processes you have completed to get your answer, you will have to document it. You do not need to present this evaluation in the assignment, however, you will need to know what you figure out from the analysis to complete the work.  Develop your document for the assigned audience and purpose - As you will have templates to use with many professional documents you will create, this assignment has a format that you must follow - the Legal Memorandum Template download.* This format includes appearance and content. See the Exemplar  downloadfor a visual guide. *To make it easier to follow the template turn on the show formatting in MS Word (the backwards P). Memorandum Header - This section of the document provides the information a reader needs to know to determine if they need to read the rest of the document.  It must be consistent in layout and format so that it is easy to read. This section is graded on your ability to follow directions.  TO - The person you have been asked to address the memorandum to. Follow the exemplar, on paper a judge's title is 'Honorable'. Why? This section and the CC section may be addressed to one or more person(s). The amount of information included for each is dependent on an organization’s level of formality and the role of hierarchy in the organization. National culture may also play a role in these decisions, as some may place greater importance on titles (such as Mr., Dr., or General). The person’s role title is often included, as it will dictate what type of information they need from you. Finally, the location of the addressee can be included, when it also suggests the type of information the document will include. When in doubt, it is better to be more formal and include too much information than to find out it was needed but not included.  CC - Emulate the format of the Exemplar. downloadThe name of each person being addressed is on a new equally indented line.  FROM - Emulate the format of the Exemplar. downloadUse your name, your title is Engineering Expert Witness DATE - Use the due date of the assignment formate as Month, day, year  RE - For a lawsuit, this will have the suit name and then what it is about relative to the lawsuit.  Question Presented - Present specifically, and concisely the question you are being asked to address. This question must include a technical and legal component.   Brief Answer - Present specifically, and concisely the answer you got from your analysis. This answer must include a technical and legal component. The answer will not have details on your analysis or numeric outcomes.  Facts - This section will present the input you were given by presenting the context, the data and its meaning in the context, and how this input allows you to structure an analysis to determine an answer. It will not proceed into the analysis.  Discussion - This section presents the logic on how you analyzed the problem in language a non-technical audience can understand, starting with the most basic reasoning for the use of this analysis for the problem. This section will end with what you found through your analysis and what it means for the case.  Conclusion - This summarizes the entire document ending with the outcome of your analysis and its meaning to the case.  Appendix - This section is on its own page (use 'insert/page break). For this section, type out the mathematics you used to calculate an answer in detail, ending with the outcome, what it means for the hypothesis test and the case.