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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 UniversityWest Lafayette.
 Fall '10
 Staff

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