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A manufacturer makes silicon strain gauge transducers that are designed to produce a linear voltage output that is directly proportional to the applied pressure. Six different processing lines are used to manufacture the gauges.
In this application an important physical property of the silicon layer formed to fabricate the gauge is its Young's modulus. There have been some calibration problems with the gauges and an engineer suspects that one of the process lines is producing a mean value of Young's modulus that is different from that of the other processing lines.
The Young's modulus of the silicon was measured from a random sample of four gauges taken from each of the processing lines. The results [in GPa] are given in the table below.
Your manager asks you to test the engineer's hypothesis by performing an analysis of variance at the 0.05 level of significance. He has, moreover, heard about 'Six Sigma' and asks you to advise if its introduction would alleviate any supposed issues with the manufacturing of the gauges.
Produce a short report to update your manager on both the method and results of your analysis and the introduction od 'Six Sigma'.
What is the conditional probability that a student likes gospel music if we know that he or she likes country music?
What is a three-period moving average forecast for the month of July? What is the slope of the regression equation developed when the Sales data are used to predict the Pounds?
SPC is one of a number of tools which can be used to improve manufacturing quality standards - Outline two techniques which can be used to decide where to put SPC effort most effectively.
Determine whether this data already provides an expected relative error introduced by the simulation of below 5%. If not, compute how many new simulations you should run in order to reduce the expected relative error introduced by the simulation b..
Estimate Carl's performance on the new machine.
In a survey of 900 college students , 405 out of 900 students has credit card or 45% of the student owned a credit card.
How much of each product do you recommend be produced that you believe maximizes revenue? How much revenue would be made if they followed your recommendation?
Perspective about the problem you are trying to analyze; in other words, you should review the literature concerning your subject. The library or the web will be a good source of information.
Develop a scatter diagram for these data. Try to approximate the relationship between x and y by drawing a straight line through the data.
Suppose South Korea can produce 100 computer chips with 10 hours of labor input and 50 bed linens with 6 hours of labor input. The US can produce 100 computer chips with 8 hours of labor input and 50 bed linens with 4 hours of labor input.
The initial research proposal will consist of the following SIX (6) items:What are the implications of my findings for the theory base, for the background assumptions, or relevant literature?
Internet and the articles database in the library for a real-life illustration of simulation. For hint, type the word "Simulation" followed by a topic of interest to you. Carefully review the search item.
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