..$6.6 Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has pro- duced the following results:
..$6.6 Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has pro- duced the following results:
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Problems S6.6, s6.7a-d, S6.8a and S6.9. Problems may be solved using QM for windows software or maually
Transcribed Image Text:266 PART 2
contains 420 calories, and the standard deviation in caloric con-
tent of the chicken breast population is 25 calories.
Rosters wants to design an X-chart to monitor the caloric con-
tent of chicken breasts, where 25 chicken breasts would be chosen
at random to form each sample.
a) What are the lower and upper control limits for this chart if these
limits are chosen to be four standard deviations from the target?
b) What are the limits with three standard deviations from the
target? PX
. $6.5
Ross Hopkins is attempting to monitor a filling pro-
cess that has an overall average of 705 mL. The average range is 6
mL. If you use a sample size of 10, what are the upper and lower
control limits for the mean and range?
..$6.6 Sampling four pieces of precision-cut wire (to be used
in computer assembly) every hour for the past 24 hours has pro-
duced the following results:
HOUR
1
2
3
4
DESIGNING OPERATIONS
5
6
7
8
9
10
11
12
X
3.25"
3.10
3.22
3.39
3.07
2.86
3.05
2.65
3.02
2.85
2.83
2.97
DAY
1
2
3
4
5
R
.71"
1.18
1.43
1.26
1.17
.32
53
1.13
.71
1.33
1.17
40
HOUR
13
14
15
16
17
18
19
20
21
22
23
24
a) What is the value of ?
b) What is the value of R?
X
3.11"
2.83
3.12
2.84
2.86
2.74
3.41
2.89
2.65
3.28
2.94
2.64
MEAN (MM)
156.9
153.2
153.6
155.5
156.6
MOUNISHED
R
.85"
Develop appropriate control charts and determine whether there
is any cause for concern in the cutting process. Plot the informa-
tion and look for patterns. PX
1.31
1.06
.50
1.43
1.29
1.61
1.09
..$6.7 Auto pistons at Wenming Chung's plant in Shanghai
are produced in a forging process, and the diameter is a critical
factor that must be controlled. From sample sizes of 10 pistons
produced each day, the mean and the range of this diameter have
been as follows:
1.08
46
1.58
97
RANGE (MM)
4.2
4.6
4.1
5.0
4.5
c) What are the UCL, and LCL, using 30? Plot the data.
d) What are the UCLR and LCL R, using 30? Plot the data.
e) If the true diameter mean should be 155 mm and you want
this as your center (nominal) line, what are the new UCL and
LCL? PX
$6.8 A. Choudhury's bowling ball factory in Illinois
makes bowling balls of adult size and weight only. The standard
deviation in the weight of a bowling ball produced at the factory
is known to be 0.12 pounds. Each day for 24 days, the average
weight, in pounds, of nine of the bowling balls produced that day
has been assessed as follows:
DAY
1
2
3
4
5
6
7
8
AVERAGE
(LB)
16.3
15.9
15.8
15.5
16.3
16.2
16.0
16.1
SAMPLE
1
2
3
4
5
1
10
9
10
9
12
DAY
9
10
11
12
13
14
15
16
a) Establish a control chart for monitoring the average weights of
the bowling balls in which the upper and lower control limits
are each two standard deviations from the mean. What are the
values of the control limits?
b) If three standard deviations are used in the chart, how do these
values change? Why? PX
$6.9 Organic Grains LLC uses statistical process control
to ensure that its health-conscious, low-fat, multigrain sandwich
loaves have the proper weight. Based on a previously stable and
in-control process, the contro limits of the - and R-charts are
UCL = 6.56. LCL = 5.84, UCLR = 1.141, LCL R = 0. Over
the past few days, they have taken five random samples of four
loaves each and have found the following:
NET WEIGHT
LOAF #3
6.3
6.0
6.3
6.2
6.5
11
11
10
AVERAGE
(LB)
15.9
16.2
15.9
15.9
16.3
15.9
16.3
16.2
2 3
9
13
9
9
10
10
4
10
10
11
10
9 10
LOAF #2
6.0
6.0
4.8
6.0
6.6
DAY
17
18
19
20
21
22
23
24
Is the process still in control? Explain why or why not. PX
...$6.10 A process that is considered to be in control measures
an ingredient in ounces. Below are the last 10 samples (each of size
n = 5) taken. The population process standard deviation, o, is 1.36.
SAMPLES
5
12
10
6
10
10
9
8
11 12
10
9
LOAF #3
5.9
6.3
5.6
6.2
6.5
AVERAGE
(LB)
16.1
15.9
16.2
15.9
15.9
16.0
15.5
15.8
7 8
10
13
11
10
10
8
10
8
9
1
LOAF #4
5.9
5.9
5.2
5.9
6.9
81
1
10
8
10
8
12
12 9
8
12
9 12
9
a) What is o?
b) If z= 3, what are the control limits for the mean chart?
c) What are the control limits for the range chart?
d) Is the process in control? PX
... $6.11 Twelve samples, each containing five parts, were taken
from a process that produces steel rods at Emmanuel Kodzi's
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Define - Control chart:
VIEWStep 2: S6.6) Calculate - Mean and range:
VIEWStep 3: S6.6) Calculate - Control limits:
VIEWStep 4: S6.7) Calculate - Mean and range:
VIEWStep 5: S6.7) Calculate - Control limits:
VIEWStep 6: S6.8) Calculate - Control limits:
VIEWStep 7: S6.9) Calculate - Mean and range:
VIEWStep 8: S6.9) Examine - State of the process:
VIEWStep 9: Examine - Table values:
VIEWSolution
VIEW
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