Solve solutions to problems S6.6, S6.7a-d, S6.8a and S6.9 on the attachment. Problems may be solved using the QM for Windows software or solved manually. 266 PART 2 DESIGNING OPERATIONScontains 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 chosenat random to form each sample.a) What are the lower and upper control limits for this chart if theselimits are chosen to be four standard deviations from the target?b) What are the limits with three standard deviations from thetarget? 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 6mL. If you use a sample size of 10, what are the upper and lowercontrol limits for the mean and range?..$6.6Sampling four pieces of precision-cut wire (to be usedin computer assembly) every hour for the past 24 hours has pro-duced the following results:HOUR123456789101112X3.25"3.103.223.393.072.863.052.653.022.852.832.97R.71"DAY123451.181.431.261.17.32.531.13.711.331.17.40HOUR131415161718192021222324X3.11"2.833.122.842.86MEAN (MM)156.9153.2153.6155.5156.6a) What is the value of ?b) What is the value of R?2.743.412.892.653.282.942.64Develop appropriate control charts and determine whether thereis any cause for concern in the cutting process. Plot the informa-tion and look for patterns. PXR.85"..$6.7 Auto pistons at Wenming Chung's plant in Shanghaiare produced in a forging process, and the diameter is a criticalfactor that must be controlled. From sample sizes of 10 pistonsproduced each day, the mean and the range of this diameter havebeen as follows:1.311.06.501.431.291.611.091.08461.58.97RANGE (MM)4.24.64.15.04.5c) 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 wantthis as your center (nominal) line, what are the new UCL, andLCL? PXdeviation in the weight of a bowling ball produced at the factoryis known to be 0.12 pounds. Each day for 24 days, the averageweight, in pounds, of nine of the bowling balls produced that dayhas been assessed as follows:..$6.8 A. Choudhury's bowling ball factory in Illinoismakes bowling balls of adult size and weight only. The standardDAY12345678AVERAGE(LB)16.3SAMPLE1211091015.915.815.516.316.216.016.1345912a) Establish a control chart for monitoring the average weights ofthe bowling balls in which the upper and lower control limitsare each two standard deviations from the mean. What are thevalues of the control limits?b) If three standard deviations are used in the chart, how do thesevalues change? Why? PX1..$6.9 Organic Grains LLC uses statistical process controlto ensure that its health-conscious, low-fat, multigrain sandwichloaves have the proper weight. Based on a previously stable andin-control process, the contro, limits of the x- and R-charts areUCL=6.56. LCL = 5.84, UCLR = 1.141, LCL R = 0. Overthe past few days, they have taken five random samples of fourloaves each and have found the following:NET WEIGHTDAY910111213141516LOAF #36.36.06.36.26.52 39139111110910AVERAGE(LB)15.916.215.915.916.315.916.316.2109Is the process still in control? Explain why or why not. PX...$6.10 A process that is considered to be in control measuresan ingredient in ounces. Below are the last 10 samples (each of sizen = 5) taken. The population process standard deviation, o, is 1.36.SAMPLES41010111010LOAF #26.06.04.86.06.651210DAY171819202191110610102223248129LOAF #35.96.35.66.26.5AVERAGE(LB)16.115.916.215.915.916.015.515.889710 13111010LOAF #45.95.95.25.96.98 9810818812 129a) 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? PX1010129812...S6.11 Twelve samples, each containing five parts, were takenfrom a process that produces steel rods at Emmanuel Kodzi's

Please note that as per our guidelines we can answer first question if multiple questions are posted…

CO ..$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 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 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 XI 3.11" 2.83 3.12 2.84 2.86 2.74 3.41 2.89 2.65 3.28 2.94 2.64 R .85" 1.31 1.06 .50 1.43 1.29 1.61 1.09 1.08 46 1.58 97 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 a' plant in Shanghai a) b) to loa in- U th lo

CO ..$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 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 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 XI 3.11" 2.83 3.12 2.84 2.86 2.74 3.41 2.89 2.65 3.28 2.94 2.64 R .85" 1.31 1.06 .50 1.43 1.29 1.61 1.09 1.08 46 1.58 97 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 a' plant in Shanghai a) b) to loa in- U th lo

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Solve solutions to problems S6.6, S6.7a-d, S6.8a and S6.9 on the attachment. Problems may be solved using the QM for Windows software or solved manually.

266 PART 2 DESIGNING OPERATIONS
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
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
R
.71"
DAY
1
2
3
4
5
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
X
3.11"
2.83
3.12
2.84
2.86
MEAN (MM)
156.9
153.2
153.6
155.5
156.6
a) What is the value of ?
b) What is the value of R?
2.74
3.41
2.89
2.65
3.28
2.94
2.64
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
R
.85"
..$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:
1.31
1.06
.50
1.43
1.29
1.61
1.09
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
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:
..$6.8 A. Choudhury's bowling ball factory in Illinois
makes bowling balls of adult size and weight only. The standard
DAY
1
2
3
4
5
6
7
8
AVERAGE
(LB)
16.3
SAMPLE
1
2
1
10
9
10
15.9
15.8
15.5
16.3
16.2
16.0
16.1
3
4
5
9
12
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
1
..$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 x- 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
DAY
9
10
11
12
13
14
15
16
LOAF #3
6.3
6.0
6.3
6.2
6.5
2 3
9
13
9
11
11
10
9
10
AVERAGE
(LB)
15.9
16.2
15.9
15.9
16.3
15.9
16.3
16.2
10
9
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
4
10
10
11
10
10
LOAF #2
6.0
6.0
4.8
6.0
6.6
5
12
10
DAY
17
18
19
20
21
9
11
10
6
10
10
22
23
24
8
12
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
8
9
7
10 13
11
10
10
LOAF #4
5.9
5.9
5.2
5.9
6.9
8 9
8
10
8
1
8
8
12 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
10
10
12
9
8
12
...S6.11 Twelve samples, each containing five parts, were taken
from a process that produces steel rods at Emmanuel Kodzi's

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