Question 2 An automobile manufacturer wishes to control the number of ronconformities in a subassembly area producing manual transmission. The inspection unit is defined as four transmissions, and data from sixteen samples (each si size 4) are shown in Table. (1) Find UCL and LCL of control chart for nonconformities per unit (me L-3) Do these data come from a controlled process? If not, assume that assignable causes can be found for all occaf-control points and calculate the revised control chart parameters (B) If the process is shifted to = 3. what is the average run length? Sample Number 1 2 3 Number of Nonconformities 1 3 2 1 0 2 4 5 5 7 1 8 2 2 1 9 10 11 12 13 14 15 16 0 2 1 1 2 CH RINCE EN ST 18 WE O WO SER EN G ENT 11 . 30 TRI BE DO GAB ch WEB THE TE - 000 TO 00 . BRE TO OD 12 LE ONE 0000 ME ME L000 RE L TE CERED 1 OM 400 sta NET C HER 13 TE D eu STE RE ME CT HT TE THE HERE IND BORIB TO TE 1 Bas Ba RE RE Ta RE 1 90 WHIT CE ME LR BRE ME 000 GAM 000 MILE MER MIRE see TRIT 2000 000 000 . WE 1000 00 000 WE 1 TE 000 100 00 2010 0.00 DO BO C ME CE G C- G G C C- CE G G 2 1 1.5 2.5 3 3.5 3 4.5 5 5.5 6 6.5 7 7.5 B 3.5 9 0 0.3679 0.2231 0.1353 0.0302 0.0183 0.0111 0.0067 0.0041 0 0025 0.0015 0.0009 0.0003 0.0002 0.0001 0.0821 0.2873 0.0498 0.1991 0.0006 0.0047 1 07358 0.5578 0.1359 0.0916 0.0611 0.0404 0.0266 0.0174 0.0113 0.0073 0.0012 0.4060 0.6757 0.0030 00133 0.0019 0.0093 2 0.9197 0.B088 05433 0.4232 0.3208 0.2381 0.1247 0.0884 0.0430 0.0296 0.0203 0.0062 01735 0.3423 0.0620 0.1512 3 0.9810 0.9344 0.8571 0.7576 0.6472 0.5366 0.4335 0.2650 0.2017 0.1118 0.0818 0.0591 0.0424 0.0212 0.0301 0.0744 4 0.9963 0.9814 0.8912 0.8153 0.7254 0.6288 05321 0.4405 0.3575 0.2851 0.2237 0 1730 0.1321 0.0550 0.9423 0.9834 0.0995 0.1912 5 0.9994 0.9955 0.9580 0.9161 0.8576 0.7851 0.7029 0.6160 0.5289 0.3690 0.3007 0.1496 0.1157 0.4457 0.6063 0.2414 0.3782 6 0.9999 0.9991 0.9955 0.9665 0.9347 0.8893 0.8311 0.7622 0.6860 0.5265 0.4497 0.3134 0.2562 0.2068 09858 0.9958 7 0.9995 0.9881 0.9733 0.9489 0.9134 0.3666 0.8095 0.7440 0.6728 0.5987 05246 0.4530 0.3856 0.3239 1.0000 1 0000 0.9989 0.9998 1.0000 0.9989 0.9952 0.9901 0.9786 0.9597 0.9319 0.8944 0.8472 0.7916 0.7291 0.6620 0.5925 0.5231 0.4557 9 1.0000 1.0000 0.9989 0.9967 0.9919 0.9829 0.9682 0.9161 0.8774 0.7764 0.7166 0.5530 0.5874 0.9997 0.9999 0.9462 0.9747 0.8305 0.9015 10 1.0000 1.0000 0.9997 0.9990 0.9972 0.9933 0.9863 0.9574 0.9332 0.8622 0.8159 0.7634 0.7060 11 1.0000 1.0000 10000 0.9999 0.9997 0 9991 0.9976 0.9945 0.9590 0.9799 0.9661 0.9457 0.9208 0.8888 0.3487 0.8030 12 1 0000 1.0000 10000 1.0000 0.9999 0.9997 0.9992 0.9955 0.9840 0.9573 0.9362 0.8758 0.9980 0.9993 0.9912 0.9954 10000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9730 0.9872 0.9091 0.9486 ET 1 0000 1.0000 1.0000 1.0000 0.9999 0.9983 09784 9658 1.0000 1 0000 0.9261 14 10000 0.9994 0.9986 09943 09897 0.9827 0.9726 1.0000 10000 0.9585 0.9929 0.9970 0.9988 1.0000 1.0000 1.0000 1.0000 1.0000 10000 0.9997 0.9999 1.0000 1.0000 0.9998 0.9999 15 1.0000 1 0000 0.9998 56660 09976 0.9954 0.9918 0.9862 0.9730 16 10000 1.0000 1.0000 0.9999 86660 0.9934 0.9889 1.0000 1.0000 1.0000 1 0000 10000 1.0000 1.0000 1.0000 0.9996 0.9998 0.9990 0.9996 0.9980 0.9992 0.9963 0.9984 17 1.0000 10000 1.0000 1.0000 1.0000 0.9999 0.9970 0.9947 18 1.0000 1.0000 1.0000 10000 1.0000 1.0000 10000 1.0000 1.0000 1.0000 10000 0.9999 0.9999 0.9987 0.9976 0.9993 0.9997 19 1 0000 1.0000 1.0000 1.0000 1.0000 1 0000 1 0000 1 0000 1.0000 10000 0.9995 0.9989 1.0000 1.0000 10000 10000 10000 1.0000 1.0000 10000 10000 1.0000 10000 1.0000 1.0000 20 21 10000 0.9996 1.0000 1.0000 10000 10000 1.0000 1.0000 10000 0.9997 09999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1 0000 0.9999 1.0000 10000 0.9998 0.9999 1.0000 0.9998 0.9999 22 1 0000 1 0000 10000 1 0000 1 0000 1 0000 10000 10000 1.0000 1 0000 1.0000 1 0000 23 1 0000 1.0000 1 0000 10000 1 0000 1 0000 1.0000 10000 1.0000 10000 1.0000 1.0000 1 0000 1.0000 1.0000 1.0000 1.0000 10000 0000T 1.0000 1.0000 1 0000 1.0000 0000 T 10000 10000 10000 10000 1 0000 1.0000 1.0000