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In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shift on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shift on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

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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In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shifts on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Time That it takes a person to Assemble the Part (minutes) What is the mean (in minutes)? x = minutes What is the standard deviation (in minutes)? S= 157 Z = 4 5 6 7 8 9 10 minutes What is the z value corresponding to 6 minutes? X - X 6- =*=*=. S Frequency 13 24 26 32 26 24 13
Transcribed Image Text:In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shifts on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Time That it takes a person to Assemble the Part (minutes) What is the mean (in minutes)? x = minutes What is the standard deviation (in minutes)? S= 157 Z = 4 5 6 7 8 9 10 minutes What is the z value corresponding to 6 minutes? X - X 6- =*=*=. S Frequency 13 24 26 32 26 24 13
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Referring to this table, determine the A value corresponding to the z value for a 6-minute-assembly line. A = What is the z score corresponding to 8 minutes? 8- z = X-X S = Referring to this table, determine the A value corresponding to the z value for an 8-minute-assembly line. A = Determine the probability that it will take a person between 6 and 8 minutes to assemble the phone. probability =
Transcribed Image Text:Referring to this table, determine the A value corresponding to the z value for a 6-minute-assembly line. A = What is the z score corresponding to 8 minutes? 8- z = X-X S = Referring to this table, determine the A value corresponding to the z value for an 8-minute-assembly line. A = Determine the probability that it will take a person between 6 and 8 minutes to assemble the phone. probability =
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 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 2.81 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 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 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 2.81 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 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
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