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

This preview shows pages 1–4. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
, 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
(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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 9

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online