Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12, Problem 53AP
a
Summary Introduction
Interpretation:
The control limits for
Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample
b
Summary Introduction
Interpretation:
Probability that the shift is detected in the first subgroup after the shift occurs.
IConcept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample
c
Summary Introduction
Interpretation:
The number of subgroups that would be required to sample before it was detected and after the shift has occurred
IConcept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample
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The mean processing time (x¯) of a job on a machine is 11 minutes with a standard deviation (σ)of 0.23 minutes. Upper specification limit (USL) is 11.5 minutes, whereas lower specification limit (LSL) is 10.5 minutes. What is the process capability ratio (cp) for this process? Is the process capable?
Cp=1, not capable
Cp=1.5, capable
Cp=0.72, capable
Cp=1, capable
Cp=0.72, not capable
What are control values that are far from the main set of values.
______occurs when the data set can be accurately described by the SD and the mean , when the data elements are centered around the mean and focuses on the distribution of errors
Defined as the number of independent data points from the mean.
Is present in all measurements. due to instrument, operator and environmental conditions (ex. pipetting error, mislabelling, temperature flocculation, improper mixing of sample and reagents).
Highest frequency of clerical errors occur with the use of handwritten labels and request forms.
Most widely used chart. Is a graphic representation of the acceptable limits of variation.
Which of the following statements about Pareto diagrams is correct?a. The Pareto diagram shows the possible root causes of a problem along with the numberof defect occurrences.b. The Pareto diagram shows the process capability index over time.c. The Pareto diagram shows the mean of a random sample at various points in time.d. The Pareto diagram shows a visual representation of binary outcome variables.
Chapter 12 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 12.1 - Prob. 2PCh. 12.1 - Prob. 3PCh. 12.1 - Prob. 4PCh. 12.1 - Prob. 5PCh. 12.1 - Prob. 6PCh. 12.2 - Prob. 7PCh. 12.2 - Prob. 8PCh. 12.2 - Prob. 9PCh. 12.2 - Prob. 10PCh. 12.2 - Prob. 11P
Ch. 12.2 - Prob. 12PCh. 12.2 - Prob. 13PCh. 12.3 - Prob. 14PCh. 12.3 - Prob. 15PCh. 12.3 - Prob. 16PCh. 12.3 - Prob. 17PCh. 12.4 - Prob. 18PCh. 12.4 - Prob. 19PCh. 12.4 - Prob. 20PCh. 12.4 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Prob. 24PCh. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.9 - Prob. 29PCh. 12.9 - Prob. 30PCh. 12.9 - Prob. 31PCh. 12.9 - Prob. 32PCh. 12.9 - Prob. 33PCh. 12.10 - Prob. 34PCh. 12.10 - Prob. 35PCh. 12.10 - Prob. 37PCh. 12.10 - Prob. 38PCh. 12.10 - Prob. 39PCh. 12.10 - Prob. 40PCh. 12.11 - Prob. 41PCh. 12.11 - Prob. 42PCh. 12.11 - Prob. 43PCh. 12.11 - Prob. 44PCh. 12.12 - Prob. 46PCh. 12.12 - Prob. 47PCh. 12.12 - Prob. 48PCh. 12 - Prob. 49APCh. 12 - Prob. 50APCh. 12 - Prob. 51APCh. 12 - Prob. 52APCh. 12 - Prob. 53APCh. 12 - Prob. 54APCh. 12 - Prob. 55APCh. 12 - Prob. 57APCh. 12 - Prob. 58APCh. 12 - Prob. 59APCh. 12 - Prob. 60APCh. 12 - Prob. 61APCh. 12 - Prob. 62APCh. 12 - Prob. 63APCh. 12 - Prob. 64APCh. 12 - Prob. 65APCh. 12 - Prob. 66APCh. 12 - Prob. 67APCh. 12 - Prob. 68APCh. 12 - Prob. 69APCh. 12 - Prob. 70AP
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- A manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.arrow_forwardSince 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_forwardSuppose that a processoutput is normally distributed with a mean of 30.0 and a variance of 1.44. If the specifications are 30.0 /- 3.25, then compute process capability indices. Is the process capable of meeting specifications?arrow_forward
- The mean service time (x¯) of a hairdresser is 18 minutes with a standard deviation (σ) of 2 minutes. Upper specification limit (USL) is 22 minutes, whereas lower specification limit (LSL) is 15 minutes for this process. What is the process capability index (cpk) for this process? Is the process capable? Cpk=0.67, capable Cpk=1.5, capable Cpk=0.67, not capable Cpk=0.5, capable Cpk=0.5, not capablearrow_forwardIn the production of pizza, which of the following four variables is not aninput variable?a. The amount of dough prepared for the pizzab. The temperature of the ovenc. The type of cheese on the pizzad. The time that the customer leaves the pizza in the refrigeratorarrow_forwardA process has a mean of 9.20 grams and a standard deviation of .30 gram. The lower specification limit is 7.50 grams and the upper specification limit is 10.50 grams. Compute Cpkarrow_forward
- A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.arrow_forwardPlease do not give solution in image format thanku A restaurant wants to make sure that they are serving customers quickly enough. Every day for 10 days, they sample 16 random customers, and measure how long it is until the waiter shows up. Uisng this sample data, the company calculates the 3-sigma control limits as LCL = 3.5 minutes and UCL = 6.5 minutes. What would be the LCL and UCL if the company uses 2-sigma control limits instead? 1. LCL = 4.5 minutes and UCL = 7.5 minutes 2. LCL = 3 minutes and UCL = 7 minutes 3. LCL = 4 minutes and UCL = 6 minutes 4. LCL = 4.5 minutes and UCL = 5.5 minutesarrow_forwardYi is fixing up his road bike to prepare for a triathlon. He looks at his tires and wonders how much he should inflate them. Which of the following variables is an outcomevariable?a. The outside temperatureb. The rolling resistancec. The number of times he presses the pumpd. The size of the tirearrow_forward
- A pharmaceutical company producing vitamin capsules desires a proportion of calcium content between 40 and 55 ppm. A random sample of 20 capsules chosen from the output yields a sample mean calcium content of 44 ppm with a standard deviation of 3 ppm. Find the natural tolerance limits of the process. If the process is in control at the present values of its parameters, what proportion of the output will be nonconforming, assuming a normal distribution of the characteristic? Answer letters a, b, and c. a. Find the Cp index. Comment on the ability of the process to meet specifications. b. What proportion of the specification range is used up by the process? c. If it is easier to change the process mean than to change its variability, to what value should the process mean be set to minimize the proportion of nonconforming product?arrow_forward(CO 3) The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 6.7, 6.1. Is the process in control or out of control and why? Group of answer choices It is out of control as one of these data points is more than 3 standard deviations from the mean It is in control as the data points more than 2 standard deviations from the mean are far apart It is in control as the values jump above and below the mean It is out of control as two of these data points are more than 2 standard deviations from the meanarrow_forwardJohn is a newly minted quality engineer at MakeStuff Inc. His boss tells him to increasethe process capability index of their main product. John is somewhat lazy and does notwant to tackle the variation in the process, so he decides to simply increase the upperspecification limit and reduce the lower specification limit. Does this increase the process capability index?a. No, it does not, because the variation in the process stays unchanged.b. Yes, it does, though one might question if the underlying process is really better.c. That depends on many other variables, including the control limits.d. No, the process capability index would only change if the control limits were changed.arrow_forward
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