Statistics Homework Solutions 236

Statistics Homework Solutions 236 - 5 10 15 20 25 30-1-0.5...

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236 CHAPTER 10 (b) The upper and lower limits for the X -chart are X A 2 R and X A 2 R , respectively. From the control chart table, A 2 1 023. R 0 110 and X 5 095. Therefore LCL = 4.982 and UCL = 5.208. The process is out of control on sample 3. (c) The 1 σ limits are X A 2 R 3 5 057 and X A 2 R 3 5 133, respectively. The 2 σ limits are X 2 A 2 R 3 5 020 and X 2 A 2 R 3 5 170, respectively. The process is out of control for the first time on sample 3, where a sample mean is above the upper 3 σ control limit. 5. (a) No samples need be deleted. (b) The estimate of σ X is A 2 R 3. The sample size is n 3. R 0 110. From the control chart table, A 2 1 023. Therefore σ X 1 023 0 110 3 0 0375. (c)
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Unformatted text preview: 5 10 15 20 25 30-1-0.5 0.5 1 Sample Number Cumulative Sum CUSUM Chart UCL = 0.15 LCL = -0.15 (d) The process is out of control on sample 4. (e) The Western Electric rules specify that the process is out of control on sample 3. The CUSUM chart first signaled an out-of-control condition on sample 4. 7. (a) The sample size is n 500. The mean number of defectives over the last 25 days is 22.4. Therefore p 22 4 500 0448. The control limits are p 3 p 1 p n . Therefore LCL = 0.0170 and UCL = 0.0726...
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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