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CHAPTER 6 SUPPLEMENT HOMEWORK SOLUTIONS

# CHAPTER 6 SUPPLEMENT HOMEWORK SOLUTIONS - (d If the...

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CHAPTER 6 SUPPLEMENT HOMEWORK SOLUTIONS S6.2( a ) The control limits are tighter, but the confidence level has dropped. S6.4 Target of So S6.6 The smallest sample mean is 2.64, the largest 3.39. Both are well within the control limits. Similarly, the largest sample range is 1.61, also well within the control limits. We can conclude that the process is currently within control. However, the first five values for the mean are above the expected mean; this may be the indication of a problem in the early stages of the process.

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S6.7
(e) If the desired nominal line is 155 mm, then: S6.11 (b) Original Data Are Both the Mean Sample and Range Sample Mean (in.) Range (in.) in Control?   1 10.002 0.011 Y   2 10.002 0.014 Y   3   9.991 0.007 N   4 10.006 0.022 Y   5   9.997 0.013 Y   6   9.999 0.012 Y   7 10.001 0.008 Y   8 10.005 0.013 Y   9   9.995 0.004 Y 10 10.001 0.011 Y 11 10.001 0.014 Y 12 10.006 0.009 Y c) The mean for sample 3 is outside of the lower limit. The reason for this outlier should be investigated, the causes eliminated, and the process studied again and new limits set.

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Unformatted text preview: (d) If the instructor wishes to illustrate the concept of setting valid control limits, he/she can have the students eliminate out of control points. The correct process is to eliminate the range outliers first. Here there are none. If we eliminate the offending sample number 3, the recomputed limits would be: Revised Control Limits Are both the Mean Sample and Range Sampl e Mean (in.) Range (in.) in Control? 1 10.002 0.011 Y 2 10.002 0.014 Y 3 4 10.006 0.022 Y 5 9.997 0.013 Y 6 9.999 0.012 Y 7 10.001 0.008 Y 8 10.005 0.013 Y 9 9.995 0.004 Y 10 10.001 0.011 Y 11 10.001 0.014 Y 12 10.006 0.009 Y These limits reflect a process that is now in control. S6.12 mph, Z = 3 , with n = 8, from Table S6.1, D 4 = 1.864, D 3 = .136 Note that in this problem much more information is provided than the student needs to compute the answer. This process is barely capable. S6.30 S6.32...
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CHAPTER 6 SUPPLEMENT HOMEWORK SOLUTIONS - (d If the...

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