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Chapter 16: Quality Control and SPC
Homework Problems and Solutions
#1:
Thirty samples of size 3 resulted in an overall mean of 16.51 and average range of
1.30. Compute control limits for
f8e5
x
 and
R
charts.
#2:
Use the sample data below to construct
f8e5
x
 and
R
charts. Assume that the sample
size is 5:
Sample
x
R
Sample
x
R
1
95.72
1.0
11
95.80
0.6
2
95.24
0.9
12
95.22
0.2
3
95.18
0.8
13
95.56
1.3
4
95.44
0.4
14
95.22
0.5
5
95.46
0.5
15
95.04
0.8
6
95.32
1.1
16
95.72
1.1
7
95.40
0.9
17
94.82
0.6
8
95.44
0.3
18
95.46
0.5
9
95.08
0.2
19
95.60
0.4
10
95.50
0.6
20
95.74
0.6
#3:
Checkout time at a supermarket is monitored using a mean and a range chart.
Six
samples of n=20 observations have been obtained and the sample means and ranges
computed.
Determine upper and lower control limits for mean and range charts.
Is this
process in control?
Sample
Mean
Range
1
3.06
0.42
2
3.15
0.50
3
3.11
0.41
4
3.13
0.46
5
3.06
0.46
6
3.09
0.45
#4:
A medical facility does MRIs for sports injuries.
Occasionally a test yields
inconclusive results and must be repeated.
Using the following sample data and n=200,
determine the upper and lower control limits.
Is the process in control?
SAMPLE
1
2
3
4
5
6
7
8
9
10
11
12
13
Number of retests
1
2
2
0
2
1
2
0
2
7
3
2
1
#5:
The postmaster of a small western town receives a certain number of complaints
each day about mail delivery.
Determine control limits using the following data.
Is the
process in control?
DAY
1
2
3
4
5
6
7
8
9
10
11
12
13
14
No. of complaints
4
10
14
8
9
6
5
12
13
7
6
4
2
10
1
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View Full Document Chapter 16: Quality Control and SPC
Homework Problems and Solutions
#6:
Given the following data for the number of defects per spool of cable, is the process
in control?
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This note was uploaded on 10/19/2009 for the course OMSE 0910 taught by Professor Staff during the Spring '08 term at University of Arizona Tucson.
 Spring '08
 STAFF

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