Assignment 1 - University of Toronto Department of...

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1 University of Toronto Department of Mechanical and Industrial Engineering MIE364S: Methods of Quality Control and Improvement Assignment 1 Due: Tuesday, Feb 23, 2010 (Lecture Time) Instructions: First, solve the problems without using Minitab, and then develop also Minitab solutions (where appropriate). Submit both. Marks 1. Samples of g G 4 items each are taken from a manufacturing process at regular intervals. Suppose the process mean ± ² G 200 and the standard deviation ³ G 10 . 10 a. Find both the 3 sigma control limits and the probability limits ( ´ G 0.002 ) to control the process mean. 12 b. Find the average run length and the standard deviation of the run length for both charts (in a.), in the following cases: i) process is in control, ii) process mean shifts to ± µ G 209 . 14 c. For both charts in a., what is the required sample size to detect this shift in the process mean on the first or second sample following the shift with the probability ¶ 0.9 ? For which of the two
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This note was uploaded on 07/24/2010 for the course MIE MIE364 taught by Professor Makis during the Spring '10 term at University of Toronto- Toronto.

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Assignment 1 - University of Toronto Department of...

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