Problem 2 (65 points) A hardware company tested the process time for their CPUs to process same task. 5 samples with 4 CPUs per sample was tested. Data recorded in minutes was shown below. Observation number Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 1 10.2 10.3 9.7 9.9 9.8 2 9.9 9.8 9.9 10.3 10.2 3 9.8 9.9 9.9 10.1 10.3 4 10.1 10.4 10.1 10.5 9.7 Sample mean 10.00 10.10 9.90 10.20 10.00 AN a. Using the factor chart for three-sigma control limits for mean chart and range charts (Table I 10.3 on page 433), determine upper and lower control limits for mean and range charts, and decided if the process is in control (Do not round intermediate calculations. Round your answers to 3 decimal places.) (40 points) b. Determining if the process is in control based on above control limits. (15 points) C. The process specifications are 9.65 and 10.35 minutes. Based on the data given, does it appear that specifications are being met? Why?(10 points) Standard Normal Cumulative Probability Table Cumulative probabilities for NEGATIV z-values are shown in the following table: z 0.06 -3.3 -3.2 3.1 -3.0 0.00 0.0003 0.0005 0.0007 0.0010 0.0013 0.01 0.0003 0.0005 0.0007 0.0009 0.0013 0.02 0.0003 0.0005 0.0006 0.0009 0.0013 0.03 0.0003 0.0004 0.0006 0.0009 0.0012 0.04 0.0003 0.0004 0.0006 0.0008 0.0012 0.05 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0006 0.0008 0.0011 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 -2.9 -2.8 -2.7 -2.6 -2.5 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0016 0.0016 0.0023 0.0023 0.0022 0.0032 0.0031 0.0030 0.0043 0.0041 0.0040 0.0057 0.0056 0.0054 0.0015 0.0015 0.0014 0.0021 0.0021 0.0020 0.0020 0.0028 0.0027 0.0039 0.0038 0.0037 0.0052 0.0051 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0090 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0004 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 0.0143 0.0183 -1.7 -1.6 -1.5 0.0287 0.0350 0.0446 0.0548 0.0668 0.0281 0.0274 0.0351 0.0344 0.0436 0.0427 0.0537 0.0526 0.0655 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0320 0.0409 0.0505 0.0618 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0694 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.4 -1.2 -1.1 -1.0 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0001 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.1251 0.1489 0.0721 0.0860 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 0.1170 0.1379 -0.9 -0.8 -0.7 -0.6 -0.5 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2350 0.2676 0.3015 0.1762 0.2033 0.2327 0.2643 0.2981 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 0.2148 0.2451 0.2778 -0.4 -0.2 -0.1 0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.4562 0.4000 0.3372 0.3745 0.4129 0,4522 0.4920 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3869 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.4404 0.4801 0.3226 0.3594 0.3974 0.4364 0.4761 0.3192 0.3557 0.3936 0.4325 0.4721 0.3156 0.3520 0.3897 0.4286 0.4681 0.3121 0.3483 0.3859 0.4247 0.4641