q1_2007 - MIT OpenCourseWare http://ocw.mit.edu 2.830J /...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 2.830J / 6.780J / ESD.63J Control of Manufacturing Processes (SMA 6303) Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Quiz #1 Solution March 14, 2007 Massachusetts Institute of Technology Department of Mechanical Engineering 2.830J/6.780J Control of Manufacturing Processes Quiz 1 March 20, 2007 Open Book and Notes P ROBLEM #1 D ESIGN OF A C ONTROL CHART B ASED ON AND ((40%) You have been asked to design a particular type of xbar chart. It is intended only to detect a mean shift of the amount from the grand mean. Instead of the traditional 3 limits, you instead are asked to do the following: Assume the expected mean value of the process is 15 Assume that the parent distribution for the process has a variance of 9 The desired probability of missing a mean shift of +5 is 0.025 (Type I error) The desired probability of signaling a mean shift of +5 when it has not really...
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This note was uploaded on 09/24/2010 for the course MECHE 2.830J taught by Professor Davidhardt during the Spring '08 term at MIT.

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q1_2007 - MIT OpenCourseWare http://ocw.mit.edu 2.830J /...

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