Question

Problem 10-25 Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 10.13. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits READINGS (IN OHMS) 1014 1019 976 1018 989 1009 995 984 1020 998 1012 1003 985 1014 1021 1027 976 984 996 1006 1021 982 1006 1011 983 1017 988 978 1011 971 978 1015 990 973 1002 1030 983 1002 1005 1001 010 1001 988 1000 994 979 970 990 999 983 974 1030 1002 1008 991 980 986 1023 1006 989 10 12 13 14 15 a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.) Range 10 12 13 14 15 b. Determine X and R. (Round your answers to 3 declmal places.) c. Determine the UCL and LCL for a X chart. (Round your answers to 3 decimal places.) UCL LCL d. Determine the UCL and LCL for R-chart. (Leave no cells blank-be certain to enter " 3 decimal places.) wherever required. Round your answers to UCL LCL e. What comments can you make about the process? 。The process is in statistical control. 0 The process is out of statistical control exhibit 13.7 actor for Determining from R the Three-Sigma Control Limits for and R-Charts FACTORS FOR R-CHART NUMBER OF OBSERVATIONS IN EACH SAMPLE FACTOR FOR X-CHART LOWER CONTROL LIMIT UPPER CONTROL LiMIr 2 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 0.29 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 1.67 1.65 1.64 1.62 1.61 1.60 1.59 5 0 0 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 0.35 0.36 0.38 0.39 0.40 0.41 10 12 13 15 17 18 19 20 Upper control limit for X-UCLX+ AR Lower control limit for X- LCLX AR Upper control limit for R UCLD,R Lower control limit for R-CL,-DR Note: All factors are based on the normal distribution.

Answer 1

A MOMENT TO SHINE calcula Samelc number meam 606-75 994-25 1068.2s on-75 990-S 0OS 991-5 193. 998-75 4.3 3 42 30 3 39 LCL972 472 7 997-75 16 2-28 (35- 333) 983-2524 12 13 14 996 995-2s 2 8 1o0 14 974 7n s30 35: 333 Determine the VCL & LCL X Chor #ggg. 268 +( .73 x35, 333