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In manufacturing, quality control is generally applied at the receiving stage from suppliers, during various production processes, and at the finished goods stage.

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A Procter and Gamble factory process fills boxes with detergent.Construct an appropriate set of control charts to monitor the process.Historical data for fill weight (in ounces) of eight samples is presented below.A sample size of six was used. A Procter and Gamble factory process fills boxes with detergent.Construct an appropriate set of control charts to monitor the process.Historical data for fill weight (in ounces) of eight samples is presented below.A sample size of six was used.    a.Compute the limits for both an R chart and x-bar chart.Compare the sample results to the limits of the charts. b.Briefly explain what the quality control charts tell you.What actions, if any, would you take? a.Compute the limits for both an R chart and x-bar chart.Compare the sample results to the limits of the charts. b.Briefly explain what the quality control charts tell you.What actions, if any, would you take?

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a.UCLR = (2.004)(.305) = 0.611 LCLR = (0)(.305) = 0 n = 6 ; R-bar = 2.44/8 = 0.305 x-bar = 128.24/8 = 16.03 R chart is in control UCLX = 16.03 + (0.483)(.305) = 16.18 LCLX = 15.88 b.R-bar chart is stable and in control but x-bar chart is not in SPC.Stop the process and investigate sources (root causes) of error.

If the mean in the range chart shifts down significantly, it indicates that the variation in the process has decreased.

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Find the control limits for a c chart with c‾\overline{c} = 7.

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LCL = 7 - 3 sq.root ...

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Quality at the source means that quality is controlled by


A) People responsible for the work
B) Quality control managers
C) Front line supervisors
D) Top management

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Which of the following is not related to a continuous metric?


A) Measured as the degree of conformance to a specification
B) x-bar and R charts
C) p-chart
D) Time

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Regarding special cause variability, all are true except


A) Disrupt the random patterns of common cause variation
B) Arises from external sources that are not inherent in the process
C) Appear sporadically
D) Hard to detect using statistical methods

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A process is considered to be in control when all common and special causes have been eliminated.

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Over-adjusting a process that is in control will usually increase the variation in the output.

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Flaws are counted on a standard steel plate (sheet).Each sheet has the exact same dimensions.Ten sheets are selected at random and the number of flaws per sheet is as follows. Flaws are counted on a standard steel plate (sheet).Each sheet has the exact same dimensions.Ten sheets are selected at random and the number of flaws per sheet is as follows.    Determine the lower and upper control limits for a c chart.. Determine the lower and upper control limits for a c chart..

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Calculate c-bar = 15/10 = 1.5....

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p-charts


A) Are used for the fraction of non-conforming items
B) Count the number of nonconformances per unit
C) Use continuous metrics
D) Can have negative lower limits

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As long as no points are outside of the control limits in a control chart, the process would be considered to be in control

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The center line (p-bar) for a p-chart is 0.50 with an UCL = 0.70 and a LCL = 0.35.The results of the next eight sample means are 0.45, 0.60, 0.39, 0.44, 0.48, 0.53, 0.54, and 0.61.What would you do?


A) Nothing; the process is in control.
B) increase the sample size to get a better measure.
C) investigate assignable causes because four observations are above the center line.
D) investigate assignable causes because there is a bad trend (run) .

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D

A key element of a control system is the ability to measure performance and compare it to a performance standard.

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A bottling process sometimes results in overfills or underfills.Overfills are especially damaging to the equipment.Which process capability index would this company most want to monitor?


A) Cp
B) Cpl
C) Cpu
D) Cpk

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A system governed only by common causes is called a stable system.

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Define and give an example of the three components of any control system.

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The three components of any control system are: 1. A performance standard or goal 2. A means of measuring actual performance 3. Comparison of actual performance with the standard to form the basis for corrective action Many examples can be provided, such as driving, taking an exam, keeping an inventory of milk in your refrigerator, and so on.

Special cause variation tends to be easily detectable using statistical methods.

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If process quality approaches six sigma levels, then standard types of control charts are not useful.

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An operator has determined what her percent defectives is for the machine which she operates.Based on several samples of 75 observations, she found p-bar to be 10%.She wants to set up a control chart using 3 standard deviation control limits. a.What is the upper control limit for a p chart? b.What is the lower control limit for a p chart?

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a.UCLp = p-bar + (3) {sq.root...

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