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ASSIGNMENT 1. LINEAR PROGRAMMING CASE STUDY

ASSIGNMENT 1. LINEAR PROGRAMMING CASE STUDY

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Author: Christine Farr
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Lab Assignment 2IntroductionApplying statistics is as much science as art, especially when we are forced to make trade-offs between qualitative andquantitative aspects of analysis. In this lab you will explore some concepts that engineers grapple with in the field of dataanalysis.Objective1.Construct confidence intervals suitable for design engineers to use in developing a medical device.2.Consider the trade-off between certainty (a higher confidence) and the cost of data collection.3.Develop an appreciation for the nuances of statistical application.NotesTips for full scoring: SHOW ALL WORK, USE CORRECT NOTATION, COMPLETE ALL CALCULATIONS!Lab AssignmentPart A. Variability in Flying Paper PlanesThis part of assignment guides you through the steps of data collection and analysis. All team members must participate in thedata collection process (1)-(4) to qualify for full score. Note the collected data will also be used for your individual final report atthe end of the semester: the quality of your data impacts your final report. In general, a good quality data refers to the one withminimal ‘unexpected’ variance. In experimentation, people unwillingly and unknowingly invite multiple sources of variability thatadd to a variance. Having unexpected variance in your data twists your conclusions, and lowers the power of your statisticalmodel. You will understand how this happens in Lecture 9 Regression Model. Thus, the primary goal of data collection is tominimize variance by identifying and eliminating unexpected sources of variability.In this regard, the current task is to measure air-time of three paper planes, repeated at least 30 times for each plane. The qualityof your work is evaluated by successfully minimizing variance, and by reasonable efforts to reduce it. First, select three designsof paper planes from Appendix I and make them. You can find steps to make each design in the webpage address belowAppendix I.(1) Before measurement, brainstorm with your team members to identify a list of potential sources that may impact the variance

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