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               2     CHAPTER 1 THE ROLE OF STATISTICS IN ENGINEERING


                                 available for some of the text sections that appear on CD only. These exercises may be found within
                                 the e-Text immediately following the section they accompany.


               1-1  THE ENGINEERING METHOD AND STATISTICAL THINKING

                                 An engineer is someone who solves problems of interest to society by the efficient application
                                 of scientific principles. Engineers accomplish this by either refining an existing product or
                                 process or by designing a new product or process that meets customers’needs. The engineering,
                                 or scientific, method is the approach to formulating and solving these problems. The steps in
                                 the engineering method are as follows:
                                    1.  Develop a clear and concise description of the problem.
                                    2.  Identify, at least tentatively, the important factors that affect this problem or that may
                                        play a role in its solution.
                                    3.  Propose a model for the problem, using scientific or engineering knowledge of the
                                        phenomenon being studied. State any limitations or assumptions of the model.
                                    4.  Conduct appropriate experiments and collect data to test or validate the tentative
                                        model or conclusions made in steps 2 and 3.
                                    5.  Refine the model on the basis of the observed data.
                                    6.  Manipulate the model to assist in developing a solution to the problem.
                                    7.  Conduct an appropriate experiment to confirm that the proposed solution to the prob-
                                        lem is both effective and efficient.
                                    8.  Draw conclusions or make recommendations based on the problem solution.
                                 The steps in the engineering method are shown in Fig. 1-1. Notice that the engineering method
                                 features a strong interplay between the problem, the factors that may influence its solution, a
                                 model of the phenomenon, and experimentation to verify the adequacy of the model and the
                                 proposed solution to the problem. Steps 2–4 in Fig. 1-1 are enclosed in a box, indicating that
                                 several cycles or iterations of these steps may be required to obtain the final solution.
                                 Consequently, engineers must know how to efficiently plan experiments, collect data, analyze
                                 and interpret the data, and understand how the observed data are related to the model they
                                 have proposed for the problem under study.
                                    The field of statistics deals with the collection, presentation, analysis, and use of data to
                                 make decisions, solve problems, and design products and processes. Because many aspects of
                                 engineering practice involve working with data, obviously some knowledge of statistics is
                                 important to any engineer. Specifically, statistical techniques can be a powerful aid in design-
                                 ing new products and systems, improving existing designs, and designing, developing, and
                                 improving production processes.






                                  Develop a  Identify the  Propose or  Manipulate  Confirm  Conclusions
                                    clear    important  refine a    the      the       and
                                  description  factors  model      model   solution  recommendations

                                                  Conduct
                                                 experiments
               Figure 1-1  The
               engineering method.
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