Statistics Homework Solutions 232

Statistics Homework Solutions 232 - 232 CHAPTER 10 2A3s 3...

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Unformatted text preview: 232 CHAPTER 10 2A3s 3 201 499, respectively. £ 198 133 and X ¡ ¢ ¨ ¡ 2A3s 3 ¨ The 2σ limits are X £ ¡ The process is in control. 5. The upper and lower limits for the S-chart are B 3 s and B4 s, respectively. ¡ ¡ 2 089. 0 4647. Therefore LCL = 0 and UCL = 0.971. The variance is in control. ¨ 0 4647 and X A3s, respectively. 9 81. ¡ ¨ 1 427. s ¡ ¡ ¨ From the control chart table, A3 A3 s and X ¨ (b) The upper and lower limits for the X -chart are X ¢ ¡ s 0 and B4 ¡ From the control chart table, B3 ¨ 11. (a) The sample size is n ¡ Therefore LCL = 9.147 and UCL = 10.473. The process is in control. 2A3s 3 10 252, respectively. ¡ £ ¢ ¡ 9 368 and X 10 031, respectively. ¨ ¨ £ ¡ ¨ ¡ 2A3s 3 ¢ The 2σ limits are X A3 s 3 £ 9 589 and X ¡ A3 s 3 ¨ (c) The 1σ limits are X £ ¡ The process is out of control for the first time on sample 9, where 2 of the last three sample means are below the lower 2σ control limit. 4. The upper and lower limits for the S-chart are B 3 s and B4 s, respectively. ¡ 2 266. 3 082. Therefore LCL = 0 and UCL = 6.984. ¨ 150 166. ¨ ¡ ¡ 2 911 and X A3s, respectively. ¢ ¨ ¡ 1 628. s ¡ ¡ ¨ ¡ From the control chart table, A3 A3 s and X ¨ (b) The upper and lower limits for the X -chart are X 150 166 and s Therefore LCL = 145.427 and UCL = 154.905. The process is in control. 2A3s 3 ¡ £ ¢ ¨ 147 007 and X 151 746, respectively. 153 325, respectively. ¨ ¡ ¡ £ ¡ £ ¡ The process is in control (recall that sample 8 has been deleted). Section 10.3 ¡ 0 054667. 0 054667. ¨ 0 1029. ¨ ¡ £ ¥ p 200 0 00644. ¡ £ ©¥ ¡ ¤ p1 p 200 ¨ ¡ p1 ¡ ¤ 3 ¡ ¢ ¡ The UCL is p 3 ¨ The LCL is p 1 64 30 £ The centerline is p 200. p ¡ The sample size is n ¨ 1. ¨ ¢ 2A3s 3 A3 s 3 £ 148 586 and X ¡ The 2σ limits are X A3 s 3 ¨ (c) The 1σ limits are X ¡ The variance is out of control on sample 8. After deleting this sample, X limits for the S-chart are 0 and 6.596. The variance is now in control. 2 911. The new ¨ s 0 and B4 ¡ ¡ From the control chart table, B3 ¨ 13. (a) The sample size is n ...
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