# Hw1 - ME 363 Homework No 1 Name Due 1 Ten samples of size n=4 have been collected from a process and the dimension of interest has been measured

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M E 363 Homework No. 1 Name Due: 9/8/2011 1. Ten samples of size n=4 have been collected from a process and the dimension of interest has been measured for each part as shown below: S123456789 1 0 9.22 9.15 9.2 9.28 9.19 9.12 9.24 9.17 9.23 R 0.24 0.17 0.3 0.26 0.27 0.19 0.21 0.32 0.23 x (a) Determine the values of center, LCL, and UCL for x and R using the first part of eqs. (36.6) and (36.7) of the textbook. (b) Recalculate the x UCL and x LCL using the second part of eqs. (36.6) and (36.7) and Table 36.2 of the textbook. (c) Construct the control charts for x and R and plot the sample data on the charts. (d) Calculate the process capabilities parameters, C p and C pk using the x UCL and x LCL obtained in part (b). 2. The diameters of a set of holes and shafts to be mated have been measured and the data are shown below (in cm): 123456789 1 0 shafts 1.981 1.978 1.982 1.983 1.984 1.985 1.993 1.979 1.98 holes 2 2.001 2.003 2.008 2.01 1.997 2.002 2.006 (a) Determine the tolerance of these parts (shafts and holes). (b) Express the tolerance of these parts using the unilateral notation.
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## This note was uploaded on 12/25/2011 for the course ME 300363 taught by Professor Staff during the Fall '10 term at Purdue University-West Lafayette.

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