Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 9, Problem 9CQ
Summary Introduction
To determine: The meaning of X-bar.
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A process screens a certain type of potash granule, resulting in a mean diameter of 0.067 cm and a standard deviation of 0.004 cm. The allowable variation in granule diameter is from 0.048cm to 0.087cm. Is the process capable?
a.
Cannnot be determined because sample size is not available
b.
Cannot be determined because USL and LSL information is not available
c.
Process is NOT capable
d.
Process is capable
What does X-bar stand for?a. The average of a sampleb. The unknown standard deviation in a process that we have to solve forc. A shady bar in West Philadelphiad. The maximum observed value in a sample
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01–inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process?
Chapter 9 Solutions
Operations Management
Ch. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 1PACh. 9 - Prob. 2PACh. 9 - Prob. 3PACh. 9 - Prob. 4PACh. 9 - Prob. 5PACh. 9 - Prob. 6PACh. 9 - Prob. 7PACh. 9 - Prob. 8PACh. 9 - Prob. 9PACh. 9 - Prob. 10PACh. 9 - Prob. 11PACh. 9 - Prob. 12PACh. 9 - Prob. 1CCh. 9 - Prob. 2C
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- Since each process capability index relies on the estimate of process standard deviation, which in turns relies on sampling, therefore which following statement is INCORRECT? a. Confidence interval of each capability index should be found, instead of computing only a point estimate. b. Each process capability index follows some distribution. c. Each process capability index is a random variable. d. The distribution of Cpk is approximately normal. e. none of the abovearrow_forwardAuto 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 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3arrow_forwardcan you help me answer this questions: 1-A moving average is the average of the observations in the past few periods, where the number of terms in the average is the span. True False 2- All nominal data may be treated as ordinal data. False True 3 - Phone numbers, Social Security numbers, and zip codes are typically treated as numerical variables. True False 4 - Correlation is useful only for: a.measuring the strength of a linear relationship. b.conveying the same information in a simpler format than a scatterplot. c.measuring the strength of a nonlinear relationship. d.assessing the weakness of a linear relationship. 5 - Which of the following will give the value for the third quartile? a. QUARTILE.INC(array, 0.25) b.QUARTILE.INC(array, 0.75) c. PERCENTILE.INC(array, 0.75) d.DECILE.INC(array, 0.30) 6 - _______ sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset.…arrow_forward
- When plotting a process, with the intention of monitoring trends, which of the following apply? Select one: a. An increase in the mean and a decrease in variation is desirable b. A decrease in both the mean and variation is desirable c. The optimum mean may be lower or higher than current values d. The mean is not as important as the variationarrow_forwardThe temperature of a burrito served to a customer in a local Mexican restaurant A: Discrete B; Continousarrow_forwardDesigning an x -Chart Using the Process Standard DeviationThe Sunny Dale Bank monitors the time required to serve customers at the drive-through window because it is an important quality factor in competing with other banks in the city. After analyzing the data gathered in an extensive study of the window operation, bank management determined that the mean time to process a customer at the peak demand period is 5 minutes, with a standard deviation of 1.5 minutes. Management wants to monitor the mean time to process a customer by periodically using a sample size of six customers. Assume that the process variability is in statistical control. Design an x-chart that has a type I error of 5 percent. That is, set the control limits so that there is a 2.5 percent chance a sample result will fall below the LCL and a 2.5 percent chance that a sample result will fall above the UCL. After several weeks of sampling, two successive samples came in at 3.70 and 3.68 minutes, respectively. Is the…arrow_forward
- 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 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? x= 156.76 mm (round your response to two decimal places). b) What is the value of R? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Çarrow_forwardA process sampled 20 times with a sample of size 8 resulted in = 28.5 and R = 1.8. Compute the upper and lower control limits for the x chart for this process. (Round your answers to two decimal places.) UCL = 29.17 LCL = 27.82 X Compute the upper and lower control limits for the R chart for this process. (Round your answers to two decimal places.) UCL = 3.35 X LCL = 0.24arrow_forwardThe mean of the sample mean will tend to be worse of an estimate, then a single samplearrow_forward
- Sample size (n) is 16, mean of the sample means ( ) is 15, mean of the sample ranges ( ) is 6, and population standard deviation ( ) is not known. Calculate the UCL and LCL of the mean chart (x-Chart) for this process. Group of answer choices Cannot be calculated UCL=33.0, LCL=-3.0 UCL=13.73, LCL=16.27 UCL=16.27, LCL=13.73 UCL=33.0, LCL=0arrow_forwardAuto 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 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of X? x= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3arrow_forwardAn ad agency tracks the complaints, by week received, about the billboards in its city: Week No. of Complaints 1 2 4 6 9. This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCL, = complaints per week (round your response to two decimal places). %3D LCL, = complaints per week (round your response to two decimal places and if your answer is negative, enter this value as 0). c) According to the control limits, the process has been m6422arrow_forward
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