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As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distribution. Milliliters of Water in the Bottle Frequency 485 Z= 490 milliliters 495 500 505 510 What is the mean (in milliliters)? milliliters 515 What is the standard deviation (in milliliters)? What is the z value corresponding to 495 milliliters? Referring to this table, determine the A value. A = 19 23 30 45 29 24 20 Determine the probability that a bottle would be filled with less than 495 milliliters. probability =

As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distribution. Milliliters of Water in the Bottle Frequency 485 Z= 490 milliliters 495 500 505 510 What is the mean (in milliliters)? milliliters 515 What is the standard deviation (in milliliters)? What is the z value corresponding to 495 milliliters? Referring to this table, determine the A value. A = 19 23 30 45 29 24 20 Determine the probability that a bottle would be filled with less than 495 milliliters. probability =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel Note that the standard normal curve is symmetrical about the mean. z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 1 0.95 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.04 1.05 Mean - 0 1.06 1.07 1.08 1.09 A 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0398 0.0438 0.0478 A 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 Z 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 1.12 1.13 1.14 1.15 1.16 1.17 A z 0.0517 0.0557 0.26 0.27 0.28 0.29 0.0596 0.0636 0.0675 0.3 0.0714 0.31 0.0753 0.32 0.0793 0.33 0.0832 0.34 0.0871 0.35 0.0910 0.0948 0.0987 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 A 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.36 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.37 0.38 z 1.29 1.3 1.31 1.32 1.33 1.34 1.35 A-03413 1.36 1.37 1.38 1.39 1.4 1.41 1.42 1.43 1.44 1.45 1.46 1.47 21.00 A 0.1026 0.1064 0.1103 Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel (continued) z Z 0.91 0.92 0.93 1.1 1.11 0.94 0.1443 Z 0.44 0.1141 0.1179 0.1217 0.1255 0.45 0.1293 0.46 0.1331 0.47 0.1368 0.48 0.1406 0.49 0.5 0.51 0.1480 0.39 0.4 0.41 0.42 0.43 A 0.4015 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 1.54 1.55 1.56 1.57 0.4177 1.58 0.4192 1.59 0.4207 1.6 0.4222 1.61 0.4236 1.62 0.4251 1.63 1.64 1.65 1.66 0.4265 0.4279 0.4292 z 1.48 1.49 1.5 1.51 1.52 A 0.1517 1.53 0.1554 0.1591 0.1628 0.1664 0,1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.1915 0.1950 A 0.4306 0.4319 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 z 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.4429 0.4441 04452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 z 1.67 1.68 1.69 1.7 1.71 1.72 1.73 1.74 1.75 1.76 1.77 1.78 1.79 1.8 A04772 1.81 1.82 1.83 1.84 1.85 z-2.00 Z 0.65 0.66 A A 0.78 0.1985 0.2422 0.2019 0.2454 0.79 0.2054 0.67 0.2486 0.8 0.2088 0.68 0.2517 0.81 0.2123 0.69 0.2549 0.82 0.2157 0.7 0.2580 0.83 0.2190 0.71 0.2611 0.84 0.2224 0.72 0.2642 0.85 0.2257 0.73 0.2673 0.86 0.2291 0.74 0.2704 0.87 0.2324 0.75 0.2734 0.88 0.2357 0.76 0.2764 0.89 0.2389 0.77 0.2794 0.9 A 0.4525 0.4535 0.4545 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 z 1.86 1.87 1.88 1.89 1.9 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 2 Z 2.01 2.02 2.03 2.04 A-0.4987 A z 0.4686 2.05 0.4693 2.06 0.4699 0.4706 2.08 0.4713 2.09 0.4719 2.1 0.4726 2.11 0.4732 2.12 0.4738 2.13 0.4744 2.14 0.4750 2.15 2.16 0.4756 0.4761 2.17 0.4767 2.18 0.4772 2.19 0.4778 2.2 0.4783 2.21 0.4788 0.4793 2.07 2.22 2.23 -3.00 A 0.2823 0.2852 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.3159 (continued) A 0.4798 0.4803 0.4808 0.4812 0.4817 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 0.4861 0.4864 0.4868 0.4871 Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel (continued) 2,24 2.26 2.27 2.28 0.4875 2.43 0.4925 2.62 0.4878 2.44 0.4927 2.63 0.4881 2.45 0.4929 2.64 0.4884 2.46 0.4931 2.65 0.4887 2.47 2.66 2.29 0.4890 2.48 0.4934 2.67 2.49 2.3 0.4893 0.4936 2.31 0.4896 2.5 0.4938 2.69 0.4898 2.51 0.4940 2.7 0.4901 2.52 0,4941 2.71 0.4904 2.53 0.4943 2.72 2.54 0.4945 2.73 0.4906 0.4909 2.55 0.4946 2.74 0.4911 2.56 0.4948 2.75 0.4913 2.57 0.4949 2.76 0.4916 2.58 0.4951 2.77 0.4918 0.4920 2.6 0.4953 0.4922 2.61 0.4955 2.78 2.79 2.25 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41 2.42 2.59 0.4932 0.4952 2.68 2.8 2.81 0.4975 3 0.4987 3.19 2.82 0.4976 3.01 0.4987 3.2 2.83 0.4977 3.02 0.4987 3.21 0.4977 3.03 0.4988 3.22 2.85 0.4978 3.04 0.4988 3.23 2.86 0.4979 3.05 0.4989 2.87 0.4979 3.06 2.88 3.07 2.89 0.4981 3.08 0.4981 3.09 0.4982 0.4980 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 0.4965 0.4966 0.4967 2.91 0.4968 2.92 0.4969 2.93 0.4970 2.94 0.4971 2.95 0.4972 2.96 0.4973 2.97 0.4974 2.98 0.4974 2.99 2.84 2.9 0.4982 0.4983 3.1 3.11 3.12 3.13 0.4984 0.4984 3.14 0.4985 3.15 0.4985 0.4986 3.17 0.4986 3.16 0.4993 3.38 0.4993 3.39 0.4993 3.4 3.41 0.4994 3.42 0.4994 3.43 0.4994 3.25 3.44 0.4989 3.26 0.4994 3.45 0.4990 3.27 0.4990 3.18 0.4989 0.4990 0.4991 3.24 3.28 3.29 3.3 0.4991 3.31 0.4991 3.32 0.4992 3.33 0.4992 3.34 0.4992 3.35 0.4992 3.36 0.4993 3.37 0.4994 0.4995 3.46 0.4995 3.47 0.4995 3.48 0.4995 3.49 0.4995 3.5 0.4995 3.51 0.4996 3.52 0.4996 3.53 0.4996 0.4996 0.4996 *** *** 3.9 0.4996 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 c... *** 0.5000 End of document
Transcribed Image Text:Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel Note that the standard normal curve is symmetrical about the mean. z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 1 0.95 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.04 1.05 Mean - 0 1.06 1.07 1.08 1.09 A 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0398 0.0438 0.0478 A 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 Z 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 1.12 1.13 1.14 1.15 1.16 1.17 A z 0.0517 0.0557 0.26 0.27 0.28 0.29 0.0596 0.0636 0.0675 0.3 0.0714 0.31 0.0753 0.32 0.0793 0.33 0.0832 0.34 0.0871 0.35 0.0910 0.0948 0.0987 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 A 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.36 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.37 0.38 z 1.29 1.3 1.31 1.32 1.33 1.34 1.35 A-03413 1.36 1.37 1.38 1.39 1.4 1.41 1.42 1.43 1.44 1.45 1.46 1.47 21.00 A 0.1026 0.1064 0.1103 Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel (continued) z Z 0.91 0.92 0.93 1.1 1.11 0.94 0.1443 Z 0.44 0.1141 0.1179 0.1217 0.1255 0.45 0.1293 0.46 0.1331 0.47 0.1368 0.48 0.1406 0.49 0.5 0.51 0.1480 0.39 0.4 0.41 0.42 0.43 A 0.4015 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 1.54 1.55 1.56 1.57 0.4177 1.58 0.4192 1.59 0.4207 1.6 0.4222 1.61 0.4236 1.62 0.4251 1.63 1.64 1.65 1.66 0.4265 0.4279 0.4292 z 1.48 1.49 1.5 1.51 1.52 A 0.1517 1.53 0.1554 0.1591 0.1628 0.1664 0,1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.1915 0.1950 A 0.4306 0.4319 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 z 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.4429 0.4441 04452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 z 1.67 1.68 1.69 1.7 1.71 1.72 1.73 1.74 1.75 1.76 1.77 1.78 1.79 1.8 A04772 1.81 1.82 1.83 1.84 1.85 z-2.00 Z 0.65 0.66 A A 0.78 0.1985 0.2422 0.2019 0.2454 0.79 0.2054 0.67 0.2486 0.8 0.2088 0.68 0.2517 0.81 0.2123 0.69 0.2549 0.82 0.2157 0.7 0.2580 0.83 0.2190 0.71 0.2611 0.84 0.2224 0.72 0.2642 0.85 0.2257 0.73 0.2673 0.86 0.2291 0.74 0.2704 0.87 0.2324 0.75 0.2734 0.88 0.2357 0.76 0.2764 0.89 0.2389 0.77 0.2794 0.9 A 0.4525 0.4535 0.4545 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 z 1.86 1.87 1.88 1.89 1.9 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 2 Z 2.01 2.02 2.03 2.04 A-0.4987 A z 0.4686 2.05 0.4693 2.06 0.4699 0.4706 2.08 0.4713 2.09 0.4719 2.1 0.4726 2.11 0.4732 2.12 0.4738 2.13 0.4744 2.14 0.4750 2.15 2.16 0.4756 0.4761 2.17 0.4767 2.18 0.4772 2.19 0.4778 2.2 0.4783 2.21 0.4788 0.4793 2.07 2.22 2.23 -3.00 A 0.2823 0.2852 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.3159 (continued) A 0.4798 0.4803 0.4808 0.4812 0.4817 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 0.4861 0.4864 0.4868 0.4871 Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel (continued) 2,24 2.26 2.27 2.28 0.4875 2.43 0.4925 2.62 0.4878 2.44 0.4927 2.63 0.4881 2.45 0.4929 2.64 0.4884 2.46 0.4931 2.65 0.4887 2.47 2.66 2.29 0.4890 2.48 0.4934 2.67 2.49 2.3 0.4893 0.4936 2.31 0.4896 2.5 0.4938 2.69 0.4898 2.51 0.4940 2.7 0.4901 2.52 0,4941 2.71 0.4904 2.53 0.4943 2.72 2.54 0.4945 2.73 0.4906 0.4909 2.55 0.4946 2.74 0.4911 2.56 0.4948 2.75 0.4913 2.57 0.4949 2.76 0.4916 2.58 0.4951 2.77 0.4918 0.4920 2.6 0.4953 0.4922 2.61 0.4955 2.78 2.79 2.25 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41 2.42 2.59 0.4932 0.4952 2.68 2.8 2.81 0.4975 3 0.4987 3.19 2.82 0.4976 3.01 0.4987 3.2 2.83 0.4977 3.02 0.4987 3.21 0.4977 3.03 0.4988 3.22 2.85 0.4978 3.04 0.4988 3.23 2.86 0.4979 3.05 0.4989 2.87 0.4979 3.06 2.88 3.07 2.89 0.4981 3.08 0.4981 3.09 0.4982 0.4980 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 0.4965 0.4966 0.4967 2.91 0.4968 2.92 0.4969 2.93 0.4970 2.94 0.4971 2.95 0.4972 2.96 0.4973 2.97 0.4974 2.98 0.4974 2.99 2.84 2.9 0.4982 0.4983 3.1 3.11 3.12 3.13 0.4984 0.4984 3.14 0.4985 3.15 0.4985 0.4986 3.17 0.4986 3.16 0.4993 3.38 0.4993 3.39 0.4993 3.4 3.41 0.4994 3.42 0.4994 3.43 0.4994 3.25 3.44 0.4989 3.26 0.4994 3.45 0.4990 3.27 0.4990 3.18 0.4989 0.4990 0.4991 3.24 3.28 3.29 3.3 0.4991 3.31 0.4991 3.32 0.4992 3.33 0.4992 3.34 0.4992 3.35 0.4992 3.36 0.4993 3.37 0.4994 0.4995 3.46 0.4995 3.47 0.4995 3.48 0.4995 3.49 0.4995 3.5 0.4995 3.51 0.4996 3.52 0.4996 3.53 0.4996 0.4996 0.4996 *** *** 3.9 0.4996 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 c... *** 0.5000 End of document
As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distribution. Milliliters of Water in the Bottle 485 490 milliliters 495 500 505 510 515 What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? Frequency What is the z value corresponding to 495 milliliters? Z = Referring to this table, determine the A value. A = 19 23 30 45 29 24 20 Determine the probability that a bottle would be filled with less than 495 milliliters. probability=
Transcribed Image Text:As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distribution. Milliliters of Water in the Bottle 485 490 milliliters 495 500 505 510 515 What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? Frequency What is the z value corresponding to 495 milliliters? Z = Referring to this table, determine the A value. A = 19 23 30 45 29 24 20 Determine the probability that a bottle would be filled with less than 495 milliliters. probability=
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