QUESTION 1 A comoary making tires for bikes is concerned about the exact width of its cyclocross tres. The company has a lower specification imit of 223 mm and an upper specification limit of 232 mm. The standard deviation is 0.15 mm and the mean is 23mm. Round your answer to 4 digits after the decimal paint if it is not an integer. Do NOT Use comma in your numeric answers, The process capablity index for the process is The uratability of producing a fire being too wide is fuse Lucel to compute The probability of producing a detective tre is use Excel to compute) use the table below), which in turn implies that the standard deviation has to be Suppose that the company now wants to reduce il telec probaatility to a largel of PPM of 318.2172. It implies that the comany should iirprove its process capability indux to . reduced to mm (use the table below) in order to meet the target. .............................................. TABLE 9.1 The Relationship between the Standard Deviations that Fit between Mean and Specification Limit and the Defect Probability Sigma Capability Index Probability Too Small Probability Too Large Prob Detect PPM 1 0.333333333 0.1506552539 0.15552530 0.31731050786 3173105 1.2 0.4 0.1150696702 0.1150696702 0.23013934044 230139.3 0.466666667 0.0807566592 0.0007566592 0.15151331847 161513.) 1.6 0.533333333 0.0547992917 0.0547992917 0.10950858340 109598.6 1.8 06 0.0359303191 0.0359303 191 0.07186063823 71660.64 2 0.666666667 0.0227501310 0.0222501310 0.04550026390 45500.20 22 0.733333333 00139034475 0.0139034425 00273 270 2.4 08 0.0081975359 0.0081975359 0.01639507185 16395.07 26 0.366666667 0.0046611880 0.00116611000 0.00932237605 9322376 2.8 093333333 0.0025551303 0.0025551303 0.0051 1026066 5110.261 3 1 0.0013498980 0.0013498980 0.00269979505 2699.796 9.2 1066666 0.00062 1379 0.000671379 0.00137422588 1974.276 1.133333333 0.0003369293 0.0003369293 0.00067385053 673.8585 9.6 12 0.0001591086 0.0001591086 0.00031821718 918.2172 38 1 266666667 0.0000723000 0.0000723480 0.00014469009 144.0861 4 1.333333333 0.0000316712 0.0000316712 0.00006334248 63.34248 4.2 1.4 0.0000133457 0.0000133457 0.00002669150 26.69 15 1.466666667 0.0000054125 0.0000054125 0.0000 1082509 10.92 4.6 1.533333333 0.0000021125 0.0000021125 0.00000422491 4.224900 16 0.0000007933 0.0000007933 0.000001 1.5366 5 1.666666667 0.0000002887 0.0000002867 0.00000057330 0.573303 5.2 1733333333 0.0000000996 0.0000000996 0.00000019929 0.199289 5.4 1.8 0.0000000333 0.0000000333 0.00000006654 0.066641 5.6 1.866666667 0.0000000107 0.0000000107 0.00000002144 0.021435 5.8 1.933333333 0.0000000033 0.0000000033 0.00000000663 0.006631 6 2 0.0000000010 0.0000000010 0.00000000197 0.001973 BRE