(10 points) You are constructing a control chart(s) for a process for determining the number of customers who complete their transactions online in less than 4 minutes. If it is over 4 minutes then the process is defective. Each day you sample 200 customers and you have the following number of defective items for each of the last six days. Construct a P control chart using 97% control limits and determine if the process is in control. Monday 14 Tuesday 16 Wednesday 22 Thursday 24 Friday 26 Saturday 30 B Tables A. Areas under the normal curve, o to z B. Areas under the standardized normal curve 1. From - to - 2. From - to - C. Cumulative Poisson probabilities Table A Areas under the normal curve, o to z O z .02 .03 .04 .05 .06 .07 .08 .09 0.0 0.1 0.2 0.3 0.4 .00 .0000 0398 0793 .1179 .1554 .01 ,0040 .0438 .0832 1217 .1591 .0080 .0478 .0871 1255 1628 0120 .0517 .0910 .1293 .1664 0199 .0596 .0987 1368 .1736 .0239 0636 .1026 .1406 1772 .0279 .0675 1064 1443 .1808 0319 0714 .1103 .1480 1844 .0359 .0753 1141 1517 1879 .0160 .0557 .0948 1331 1700 .2054 2389 .2703 2995 .3264 0.5 0.6 0.7 0.8 .1915 2257 2580 2881 3159 1950 2291 2611 .29 10 3186 .1985 2324 2642 2939 3212 2019 2357 2673 2967 3238 2088 .2422 2734 .3023 3289 2123 .2454 2764 3051 3315 2157 2486 .2794 3078 3340 2190 2517 2823 3106 3365 2224 2549 .2852 3133 .3389 0.9 1.0 1.1 12 3413 3643 3849 .4032 4192 3438 3665 .3869 4049 4207 3461 3686 3888 4066 4222 3485 3708 3907 4082 4236 3508 3729 3925 4099 4251 3531 3749 3944 .4115 4265 3554 3770 .3962 4131 4279 3577 3790 3980 .4147 4292 3599 3810 3997 .4162 4306 3621 3830 4015 4177 .4319 1.3 1.4 1.5 1.6 1.7 4332 4452 .4554 4641 4713 4345 4463 .4564 4649 4719 .4357 4474 .4573 .4656 4726 .4370 4484 4582 4664 4732 4382 4495 4591 4671 4738 .4394 .4505 .4599 4678 .4744 4406 .4515 .4608 4686 4750 4418 .4525 .4616 4693 4756 .4429 4535 .4625 4699 4761 4441 4545 4633 4706 .4767 1.8 1.9 2.0 2.1 22 2.3 2.4 4772 4821 4861 4893 4918 .4778 4826 .4864 4896 .4920 .4783 .4830 .4868 .4898 .4922 4788 .4834 .4871 .4901 4925 .4793 .4838 4875 4904 4927 .4798 4842 4878 4906 4929 4803 .4846 4881 4909 4931 4808 .4850 .4884 .4911 4932 4812 4854 4887 4913 4934 .4817 .4857 4890 4916 4936 2 2.5 2.6 2.7 2.8 2.9 4938 .4953 .4965 .4974 4981 .4940 4955 4966 4975 .4982 .4941 .4956 4967 4976 .4982 4943 4957 4968 4977 .4983 4945 .4959 4969 .4977 .4984 .4946 4960 4970 4978 4984 4948 4961 4971 4979 4985 .4949 4962 4972 4979 4985 4951 .4963 4973 .4980 .4986 4952 .4964 4974 4981 4986 3.0 4987 .4987 .4987 .4988 4988 .4989 4989 .4989 .4990 4990 866