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23 May 2018 To: CBEE 213 Class From: Professors Koretsky and Michor Subject: Homework #7 ___________________________________________________________________________ Below is the seventh homework assignment of the quarter. This assignment is due 30 May 2018 in studio. Please conform to the format described on the class web site. http://classes.engr.oregonstate.edu/cbee/spring2017/cbee213-010/HWFormat.pdf 1. See HW_7_1 on course website (Interoffice Memorandum IV) 2. You wish to construct a control chart for samples of size n = 4.
x and S are computed for 23 preliminary samples as follows: ∑ �̅�𝑥 = 490023𝑖𝑖=1 and ∑ 𝑆𝑆 = 150.823𝑖𝑖=1
The process has a specification limits of LSL = 180 and USL = 260 Answer the following questions:
A. Determine the control limits for the
x chart. B. Determine the control limits for the S chart. C. What are the values of CP and Cpk? D. Assuming the population is normally distributed, estimate µ and σ.
3. Rank the following 4 control charts, from largest to smallest, for Cp, Cpk, σest, and specification limit range (𝑈𝑈𝑆𝑆𝑈𝑈 − 𝑈𝑈𝑆𝑆𝑈𝑈). Note that all processes have the same �̅�𝑥. The lines shown are specification limits. If you cannot tell the difference mark them as a tie.
http://classes.engr.oregonstate.edu/cbee/spring2017/cbee213-010/HWFormat.pdf
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