Chpt06 - Chapter 6 Quality and Reliability Section 6.1 1....

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Chapter 6 Quality and Reliability Section 6.1 1. The specification limits are 5% above and below the nominal value of 560. This tolerance is ± (.05)(560) = ± 28 Ohms, so LSL = 560-28 = 532 Ω and USL = 560 + 28 = 588 Ω . 2. The quality characteristic “waiting time” would have a one-sided tolerance, with an upper specification limit only. After all, the customer would likely wish to specify an upper limit on how long he would wait for a test result. Clearly, setting a lower limit on waiting time makes no sense. 3. (a) The envelope puts an upper specification limit of 4.00 inches on the width of a folded letter. (b) Possible penalties: you may have to refold letter (rework), or bend letter to fit envelope (lower quality), or reprint and fold new letter (scrap and rework). 4. One would likely classify these oranges as non-conforming since they do not meet the sugar content specification required for sale to grocery stores. However, these same oranges could likely be sold to other vendors, such as juice manufacturers. Thus, we would not consider them defective. Defective oranges may be ones that have been eaten by pests and are not suitable for sale to any vendor. 5. (a) attributes data (f) variables data (b) variables data (g) attributes data (c) variables data (h) variables data (d) attributes data (i) variables data (e) attributes data One often-used rule for deciding whether a variable is continuous is the following: if it is possible to obtain more and more precise measured values by using better and better measuring instruments, then the characteristic/variable is continuous (i.e, variables data) . Note that you don't have to actually obtain and use better instruments, you just have to perform the thought experiment of asking if instruments exist that will conceivably give more and more precise measurements. 2.55 2.53 2.51 2.49 2.47 2.45 15 10 5 0 Quality characteristic F r e q u e n c y 6. (a)
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Chapter 6 Quality and Reliability 2 (b) The sample mean is 2.5033. The sample standard deviation is 0.021227. (c) 0% of the measurements fall above the USL of 2.55 inches. 0% of the measurements fall below the LSL of 2.45 inches. (d) () 0139 . 2 . 2 021227 . 5033 . 2 55 . 2 55 . 2 = > = > = > z P z P x P of the process data is expected to fall above the USL % 39 . 1 0060 . 51 . 2 021227 . 5033 . 2 45 . 2 45 . 2 = < = < = < z P z P x P % 6 . of the process data is expected to fall below the LSL. (e) In part (c) we are basing our answers on the sample of size 30. In part (d) we are estimating what we would likely find over the course of an ongoing process. 7. Some unacceptable parts whose true lengths are .02 inches or less below the LSL will give measured lengths above the LSL (and will then be incorrectly classified as acceptable). Conversely, some acceptable parts whose true lengths are less than .02 inches below the USL will have measured lengths above the USL (which incorrectly classifies them as unacceptable).
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Chpt06 - Chapter 6 Quality and Reliability Section 6.1 1....

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