An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 0.94 liter and a standard deviation of 0.01 liter. Output is monitored using means of samples of 26 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.) Upper control limits: Lower control limits: liter liter Z .00 Table A Areas under the normal curve, 0 to z 00 .01 .02 .03 .04 .05 .06 .07 .08 .09 OOOOC 0.0 0.1 0.2 0.3 9123 .0000 .0040 .0080 0120 .0160 0199 .0239 .0279 0319 .0359 .0398 .0438 0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .0793 .0832 0871 .0910 .0948 0987 .1026 .1064 .1103 .1141 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 0.5 0.6 0.7 0.8 5698 .1915 .1950 .1985 2019 .2054 2088 .2123 2157 2190 .2224 .2257 .2291 2324 .2357 .2389 2422 .2454 .2486 .2517 .2549 2580 .2611 .2642 2673 .2703 .2734 .2764 .2794 .2823 2852 .2881 2910 2939 2967 .2995 3023 .3051 3078 3106 .3133 0.9 .3159 .3186 3212 3238 .3264 3289 .3315 .3340 3365 .3389 1.1 1.2 1.3 1.4 01234 1.0 3413 .3438 3461 3485 .3508 .3531 .3554 .3577 3599 .3621 3643 .3665 3686 .3708 .3729 3749 .3770 .3790 3810 .3830 3849 .3869 3888 3907 .3925 3944 .3962 .3980 .3997 .4015 4032 .4049 4066 4082 4099 .4115 .4131 .4147 4162 .4177 .4192 .4207 4222 4236 4251 .4265 .4279 4292 4306 .4319 1.5 1.6 1.7 1.8 5698 4332 .4345 4357 4370 4382 4394 .4406 4418 4429 .4441 4452 .4463 4474 4484 .4495 .4505 4515 4525 4535 4545 4554 .4564 4573 .4582 4591 .4599 .4608 4616 .4625 .4633 .4641 4649 4656 .4664 4671 .4678 .4686 4693 4699 .4706 1.9 .4713 .4719 4726 4732 4738 .4744 4750 .4756 4761 .4767 22222 2.0 2.1 2.2 2.3 2.4 01234 .4772 .4778 4783 .4788 .4793 .4798 .4803 4808 .4812 .4817 .4821 .4826 4830 .4834 4838 .4842 .4846 4850 .4854 .4857 .4861 .4864 4868 .4871 4875 .4878 .4881 .4884 .4887 .4890 .4893 4896 4898 .4901 4904 .4906 .4909 .4911 4913 .4916 .4918 .4920 4922 4925 4927 .4929 .4931 .4932 4934 .4936 222NN 5698a 2.5 .4938 .4940 4941 4943 4945 4946 .4948 .4949 4951 .4952 2.6 .4953 .4955 4956 .4957 4959 .4960 .4961 4962 .4963 .4964 2.7 4965 4966 .4967 .4968 4969 .4970 .4971 .4972 4973 4974 2.8 .4974 .4975 4976 4977 4977 4978 .4979 4979 4980 .4981 2.9 .4981 .4982 4982 .4983 .4984 .4984 .4985 4985 4986 .4986 3.0 .4987 .4987 4987 .4988 4988 4989 .4989 4989 4990 .4990