FinalGraded - 77 ESI6321 APPLIED PROBABILITY METHODS IN ENGINEERING OEM 2009 FINAL EXAMINATION Duration 2 hours Open book open lecture notes This

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ESI6321 APPLIED PROBABILITY METHODS IN ENGINEERING OEM 2009 April 19, 2008 FINAL EXAMINATION Duration: 2 hours Open book, open lecture notes This test consists of 4 problems + a bonus question Your exam grade wi/Ibe determined as follows: 10 + the total number of points scored Name: Luf1t ~ 5i:/~ 1
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, Problem 1: (30 points) Plastic bottles for liquid laundry detergent are formed by blow molding. Twenty samples of n=100 bottles are inspected in time order of production, and the fraction defective in each sample is reported in the table below: n:: 100 k:::~ VeL o· () I b 1 v/ Sample Fraction defective () 1 0.12 I 2 0.15 3 0.18 4 0.10 5 0.12 6 0.11 7 0.05 8 0.09 9 0.13 10 0.13 11 0.10 12 0.07 13 0.12 14 0.08 15 0.09 16 0.15 17 0.10 18 0.06 19 0.12 20 0.13 average O.ll UCL=p +35 = O.'?.Q CL =. f =. I I 00 LCL =(7--' 35 p=- 0 - ) I 'v,J'k'T. r"l r ~ ~ Ou. ... \.A.i~ y ~ (a) (10 points) Set up a standard p-chartfor this process. (- r~f' ~.()e y. '( ~ =- (fA/--p) .=:: 0 63 17-'7 -Z, ) ~ LCL. 2
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(b) (10 points) Suppose that you would like to shorten the amount of time until a shift in the process is identified. To achieve this, you are willing to accept afalse alarm rate of 5%. That is, you are willing to accept that the probability that a particular sample falls outside the control limits is 5%, even if the process is in control. How (if at all)
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This note was uploaded on 05/12/2010 for the course ESI 6321 taught by Professor Josephgeunes during the Spring '07 term at University of Florida.

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FinalGraded - 77 ESI6321 APPLIED PROBABILITY METHODS IN ENGINEERING OEM 2009 FINAL EXAMINATION Duration 2 hours Open book open lecture notes This

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