Exam 18: Statistical Applications in Quality and Productivity Management

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Which of the following situations suggests a process that appears to be operating in a state of statistical control?

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Instruction 18-17 The manufacturer of canned food constructed control charts and analysed several quality characteristics.One characteristic of interest is the weight of the filled cans.The lower specification limit for weight is 2.95 kilograms.The table below provides the range and mean of the weights of five cans tested every 15 minutes during a day's production. Number XBar Range Number XBar Range 1 3.05072 0.0215 16 3.04646 0.073 2 3.01228 0.087 17 3.03868 0.0696 3 3.03558 0.0851 18 3.03338 0.0329 4 3.01014 0.0674 19 3.03322 0.0455 5 3.00858 0.0983 20 3.05078 0.0215 6 3.02704 0.0527 21 3.04808 0.0396 7 3.04268 0.0508 22 3.05348 0.0581 3 3.01052 0.0791 23 3.05516 0.0682 9 3.03464 0.0663 24 3.03426 0.0325 10 3.02034 0.0538 25 3.0516 0.0641 11 3.03764 0.0584 26 3.05562 0.0809 12 3.0409 0.0434 27 3.04402 0.0374 13 3.0519 0.0762 28 3.06458 0.0284 14 3.03994 0.0833 29 3.0544 0.0738 15 3.03788 0.0601 -Referring to Instruction 18-17,construct an chart for the weight.

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The cause of variation that can be reduced only by changing the system is ________ cause variation.

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Instruction 18-17A A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds)is too erratic and adversely affects expected profits.The supervisor proceeds by randomly sampling five individuals per hour for a period of 10 hours.The sample mean and range for each hour are listed below. She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds,respectively. -Referring to Instruction 18-17A,what is the value of the CPL index?

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Instruction 18-9 A quality control analyst for a light bulb manufacturer is concerned that the time it takes to produce a batch of light bulbs is too erratic.Accordingly,the analyst randomly surveys 10 production periods each day for 14 days and records the sample mean and range for each day. -Referring to Instruction 18-9,suppose the analyst constructs an R chart to see if the variability in production times is in control.What is the centre line of this R chart?

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It is not possible for the chart to be out-of-control when the R chart is in control.

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A process capability is estimated by the percentage of product or service that fall outside the specification limits.

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