Operations Management: Processes And Supply Chains (12th Global Edition) - Does Not Include Mylab Operations Management
12th Edition
ISBN: 9780134890357
Author: Lee J. Krajewski, Manoj K. Malhotra
Publisher: Pearson Global Edition
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Chapter 3, Problem 2P
Summary Introduction
To calculate:
Use the table below,Establish control limits for sample mean and ranges for the car wash process.
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At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense
140 milliliters (ml) of steroid solution per container. The average range for a sample of 3 containers is 4 ml. use the accompanying table to establish control limits for sample means and ranges for the filling process.
x-chart
and R-chart
Size of Sample (n)
Factor for UCL and LCL for
x-chart
(A2)
Factor for LCL for R-Chart
(D3)
Factor for UCL for R-Chart
(D4)
2
1.880
0
3.267
3
1.023
0
2.575
4
0.729
0
2.282
5
0.577
0
2.115
6
0.483
0
2.004
7
0.419
0.076
1.924
8
0.373
0.136
1.864
9
0.337
0.184
1.816
10
0.308
0.223
1.777
The
UCLR
equals
to what
ml and the
LCLR
equals
to what
ml. (Enter your responses rounded to two decimal places.)
The
UCLx
equals
to what
ml and the
LCLx
is what
ml. (Enter your responses rounded to two decimal places.)
Auto pistons at Wemming 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 5 pistons produced each day, the mean and the range of this diameter have
been as follows:
Day
Mean (mm)
Range R (mm)
158
4.3
151.2
4.4
155.7
4.2
153.5
4.8
156.6
4.5
What is the UCL using 3-sigma?(round your response to two decimal places).
1.
2.
4.
A. Choudhury’s bowling ball factory in Illinois makes
bowling balls of adult size and weight only. The standard devia-tion in the weight of a bowling ball produced at the factory is
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:
a) Establish a control chart for monitoring the average weights
of the bowling balls in which the upper and lower control lim-its 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 thesevalues change? Why?
Chapter 3 Solutions
Operations Management: Processes And Supply Chains (12th Global Edition) - Does Not Include Mylab Operations Management
Ch. 3 - Should a very pricey handcrafted object of beauty...Ch. 3 - Prob. 2DQCh. 3 - Prob. 3DQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7P
Ch. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 31PCh. 3 - Prob. 1AMECh. 3 - Prob. 2AMECh. 3 - Prob. 3AMECh. 3 - Prob. 4AMECh. 3 - Prob. 5AMECh. 3 - Prob. 1VCCh. 3 - Prob. 2VC
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- A microbrewery tracks its output in gallons over a five hour period for each of seven days. Their data is in the table below, and they went ahead and calculated the averages and ranges for the individual samples and the overall averages Their data and the factors tables can be found below. Calculate the upper (LCL) and lower (UCL) control limits for X bar, and R charts for their process. Day (X values) X̅ R 1 46 49 45 47 48 47.0 4 2 43 52 46 52 44 47.4 9 3 45 55 46 51 43 48.0 12 4 39 44 42 43 40 41.6 5 5 45 50 48 50 42 47.0 8 6 44 48 45 45 40 44.4 8 7 41 44 52 50 47 46.8 11 X̿ = 46.03 R̅ 8.14 Xbar chart - LCL = 40.48, UCL=46.25, R chart LCL=0, UCL=14.01 Xbar chart - LCL = 44.21, UCL=48.41, R chart LCL=0.49, UCL=17.18 Xbar chart - LCL = 42.61, UCL=49.45, R chart LCL=0.65, UCL=15.63 Xbar chart - LCL = 44.21, UCL=51.62, R chart LCL=0, UCL=17.18 Xbar chart - LCL = 41.31, UCL=50.75, R chart LCL=0, UCL=17.18arrow_forwardAn automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control. Using Appendix B, Table A to find the value of Z corresponding to the mean control limits.arrow_forward2- Quality Control Charts A local brewery and bottling plant wants to keep track of the bottling filling equipment's accuracy, Bottles are to be filled with exactly 16 ounces of the drink. The following is data from the bottling equipment where 5 samples of bottles filled were pulled every hour and measured for actual quantity filled. 1- Calculate the UCL, LCL and mean for the X-bar and R data 2- Draw an X-Bar chart and a R chart. 3- Is this filling process in control or out of control? Hour X-bar R 1 16.05 .20 2 16.03 3 15.96 4 15.97 16.03 16.06 15.98 16.09 15.94 16.01 5 6 7 8 9 10 @n-5: A2 = 0.58, D3 =0, D4 = 2.11 .25 .62 .58 .71 .37 .46 .21 .35 .29arrow_forward
- Suppose you constructed control charts for the time spent by customers in a retail checkout lane, computing UCL, CL, and LCL based upon a large number of historical observations. Using those control limits, you decide to plot the most recent 12 data points as shown below. Given the following range chart, which general conclusion is most appropriate? (link to image here). Range Chart Sample Range 140 120 100 80 60 40 20 0 1 2 3 4 5 6 7 Sample Number 8 The process is capable The process is not capable The process is in control The process is out of control 9 10 11 12arrow_forwardA bottle-filling process has a lower specification limit of 0.99 liter and an upperspecification limit of 1.01 liters. The standard deviation is 0.005 liter and the mean is 1 liter.What is the process capability index for the bottle-filling process?arrow_forwardThe Road King Tire Company in Birmingham wants to moni-tor the quality of the tires it manufactures. Each day the com-pany quality-control manager takes a sample of 100 tires, tests them, and determines the number of defective tires. The re-sults of 20 samples have been recorded as follows:Construct a p-chart for this process using 2 limits and for each of the last 30 weekdays are shown as follows:describe the variation in the process. Sample Defectives Sample Defectives1 14 11 182 12 12 103 9 13 194 10 14 205 11 15 176 7 16 187 8 17 188 14 18 229 16 19 2410 17 20 23arrow_forward
- A company making tires for bikes is concerned about the exact width of its cyclocrosstires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm.What is the process capability index for the process?arrow_forwarddiscuss how to construct process control chart and use them to determine whether a process is out of statistical control?arrow_forwardDescribe how to construct process control charts and use them to determine whether a process is out of statistical control.arrow_forward
- At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 170 milliliters (ml) of steroid solution per container. The average range for a sample of 4 containers is 5 ml. Use the accompanying table to establish control limits for sample means and ranges for the filling process. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. The UCLR equalsz____________ml and the LCLR equals _________________ml. (Enter your responses rounded to two decimal places.)arrow_forwardValtec Electronics Valtec Electronics fills orders for its electronic components and parts by truck to customers through several distribution centers. A measure of its supply chain responsiveness is order fulfillment lead time, which is the number of days from when a company receives an order to when it is delivered to the customer. A distribution center manager has taken 20 samples of 5 orders each during the month and recorded the lead time for each as follows. Construct an Xbar chart and R-chart using 30 limits for this data and indicate if the process is in control. Load Time (Days) Load Time (Days) 2.4 Samples Samples 1 1.3 2.4 0.7 3.0 1.8 15 3.7 7.0 1.4 3.3 2 2.1 1.2 1.0 2.5 3.6 16 3.6 2.7 4.8 2.0 1.7 3 4.2 3.3 2.6 1.5 3.0 17 0.4 1.8 6.5 3.2 4.8 4 1.6 2.1 2.8 0.9 1.5 18 5.3 2.9 3.4 4.8 4.6 5 2.6 3.0 1.4 4.6 1.9 19 2.7 3.6 2.9 4.1 5.2 6 0.8 2.7 5.8 3.7 4.5 20 4.7 2.0 2.0 3.1 1.8 7 2.6 3.5 3.1 3.6 1.4 8 3.4 6.1 1.5 2.5 2.8 9 3.1 2.5 2.2 2.9 1.8 10 2.4 4.8 5.9 3.2 4.4 11 1.9 2.7 3.4…arrow_forwardDistinguish between a sampling error and a nonsampling error.How can each be reduced?arrow_forward
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