Midterm 2 - Name: IE 330 Midterm # 2 Questions Spring 2008...

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Unformatted text preview: Name: IE 330 Midterm # 2 Questions Spring 2008 04/02/08 Prof. Tolga Tezcan PART 1: Answer all the questions 1thorugh 4 Question 1 (10 pts) The following table gives ARL performance, that is; expected number of samples before the charts give an out of control signal, of the tabular cusum charts with various parameters. a) Find the probability of type 2 error if the shift size is 3 and h=4. 55 . 45 . 1 19 . 2 / 1 1 =- =- = b) Find the probability of type 1 error if h=4. 059 . 168 / 1 = = Question 2: (15 pts) A process is making plastic water bottles for bicycles. We carry out a quality control study focusing on the missing caps. 25 samples are analyzed and it is found that total number of defects is 434. a) Find the control limits of a c chart for this defect. c=434/25=17.36 c c 3 =[4.86,29.85] b) What is the probability of type I error for part a? (Simplify the solution as much as you can but do not need to give an exact solution) =-- = + = 29 5 36 . 17 ! 36 . 17 1 ) 30 ( ) 4 ( k k k e X P X P Question 3: (10 pts) As part of an effort to understand the effect, if any, of the type of measurement device on part measurements, a study was conducted. An inspector was asked to measure the diameter (in millimeters) of ten machined shafts with each device. The results are shown in the table below....
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This test prep was uploaded on 04/07/2008 for the course IE 330 taught by Professor Tezcan during the Spring '08 term at University of Illinois at Urbana–Champaign.

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Midterm 2 - Name: IE 330 Midterm # 2 Questions Spring 2008...

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