Question: Problem 10-2 (Algo) An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of

Problem 10-2 (Algo) An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 1.00 liter and a standard deviation of 0.02 liter. Output is monitored using means of samples of 29 observations. Use Table:A. a.Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control (Do not round intermediate calculations. Round z value to 2 decimal places. Round your answers to 4 decimal places.) liter Upper control limits: Lower control limits: liter Table A Areas under the normal curve, 0 to z Z .00 .08 .01 .02 .04 .09 .07 ,03 .05 .06 00 0.1 0.2 03 0.4 .0000 0398 0793 .1179 .1554 0040 0439 0832 1217 .1591 0080 .0478 0871 .1255 .1628 0120 0517 0910 .1293 .1664 20160 0557 0948 .1331 .1700 .0199 0596 0987 1368 .1736 0239 0636 .1026 .1406 .1772 0279 0675 .1064 1443 .1808 0319 0714 1103 1480 0359 0753 1141 .1517 .1879 1844 05 0.6 0.7 0.8 0.9 .1915 2257 2580 2881 3159 .1950 2291 2611 2910 3186 1985 2324 2642 2939 3212 2019 2357 2673 2967 3238 2054 2389 .2703 2995 3264 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 10 1.1 12 13 1.4 3413 3643 3849 4032 .4192 3438 3665 3869 4049 4207 3461 3686 3888 4066 422 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 15 1.6 1.7 18 19 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 20 21 22 23 24 .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 .4945 4959 25 26 27 28 29 4946 4960 4938 .4953 4965 4974 4981 4940 4955 4966 4975 4982 4941 4956 4967 4976 .4982 4943 4957 4968 4977 4983 4969 4970 .4948 4961 4971 4979 4985 4949 4962 4972 .4979 4985 4951 4963 4973 4980 4986 4952 4964 4974 4981 4985 4977 .4984 4978 4984 3.0 4987 4987 4987 4988 4988 4989 4989 4989 4990 4990 A ctv W

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