A batch of 3000 inverters from the production line has a mean output voltage of 337.8 V and the Standard deviation of the output voltage is 3.105. If the voltages of the produced inverters are assumed to be normally distributed, determine the following: The number of inverters with output voltages greater than 336.9 V. The number of inverters with output voltages less than 337.1 V, The number of inverters with output voltages between 336.2 V and 339.8 V. For this problem you should use the table of z-values shown in Figure below.
A batch of 3000 inverters from the production line has a mean output voltage of 337.8 V and the Standard deviation of the output voltage is 3.105. If the voltages of the produced inverters are assumed to be normally distributed, determine the following: The number of inverters with output voltages greater than 336.9 V. The number of inverters with output voltages less than 337.1 V, The number of inverters with output voltages between 336.2 V and 339.8 V. For this problem you should use the table of z-values shown in Figure below.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter6: Polynomials
Section6.2: Use Multiplication Properties Of Exponents
Problem 168E: Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a...
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A batch of 3000 inverters from the production line has a mean output voltage of 337.8 V and the Standard deviation of the output voltage is 3.105. If the voltages of the produced inverters are assumed to be
- The number of inverters with output voltages greater than 336.9 V.
- The number of inverters with output voltages less than 337.1 V,
- The number of inverters with output voltages between 336.2 V and 339.8 V.
For this problem you should use the table of z-values shown in Figure below.
Transcribed Image Text:I-
01 2 3 4 s
6 7 8
0.0
0.1
0.0000 0.0040 0.0080 0.0120 0.0159 0.0199 0.0239 0.0279 0.0319 0.0359
0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0678 0.0714 0.0753
0.2
0.3
0.0793 0.0832 0.0871 0.0910
0.1179 0.1217 0.1255 0.1293 0.1331
0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808
0.1915 0.1950 0.1985 0.2019 0.2054 0.2086 0.2123 0.2157 0.2190 0.2224
0.0948 0.0987 0.1026 0.1064 0.1103 0.1141
0.1388 0.1406 0.1443 0.1480 0.1517
0.1844 0.1879
0.4
0.5
0.6
0.2257 0.2291
0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549
0.7
0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2760 0.2794 0.2823 0.2852
0.2881
0.3159
0.2910 0.2939 0.2967
0.3186 0.3212 0.3238 0.3264
0.3438
0.2995
0.3023 0.3051
0.3289 0.331I5 0.3340
0.3078
0.3106 0.3133
0.3365
0.8
0.9
0.3389
1.0
0.3485
0.3708 0.3729 0.3749 0.3770 0.3790 0.3810
0.3907 0.3925 0.3944
0.3531
0.3413
0.3643 0.3665
0.3849
0.3451
0.3686
0.3508
0.3554 0.3577 0.3599 0.3621
1.1
0.3830
1.2
0.3869
0.3888
0.3962
0.3980
0.3997
0.4015
1.3
14
15
0.4032 0.4049 0.4066 0.4082 0.4099 0.4115
0.4192
0.4332 0.4345 0,4357 0.4370 0,4382 0.4394
0.4131 0,4147 0,4162 04177
0.4292
0.4306
0.4207 0.4222 0.4236 04251
0.4265
0.4279
0.4319
0.4406 0.4418 0.4430 04441
1.6
1.7
0.4452
0.4554 0.4564 0.4573 0.4582 0.4591
0.4641 0.4649 0,4656 0,4664 0.4671
0.4713
0.4474 0.4484
0.4495 0.4505 0.4515
0.4599
4525 0.4535
0.4625
0.4699
0.4545
0.4608
0.4616
0.4633
0.4706
1.8
0.4678
0.4686
0.4693
1.9
0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4762 04767
0.4812 0.4817
0.4808
0.4850 0.4854
0.4884 0.4887
2.0
0.4772 0.4778 0.4783
0.4785 0.4793 0.4798
0.4803
2.1
2.2
0.4821
0.4861
0.4893
0.4826
0.4830 0,4834
0.4838
0.4842
0.4846
0.4857
0.4864
0.4868 0.4871
0.4875
0.4878
0.4881
0.4890
2.3
0.4896
0.4898 0.4901
0.4904
0.4906
0.4909
0.4911
0.4913
0.4916
2.4
2.5
0.4920
0.4922
0.4940 0.4941
0.4925
0.4943 0.4945 0.4946
0.4918
0.4927
0.4929
0.4932 0,4934
0.4948 0.4949 0.4951 0.4952
0.4931
0.4936
0.4938
0.4953
0.4955
0.4962
0.4970 0.4971 0.4972 0.4973
0.4979
2.6
0.4956 0.4957
0.4959
0.4960
0.4961
0.4963
0.4964
2.7
0.4965
0.4966
0.4967
0.4968
0.4969
0.4974
0.4975
0.4980
2.8
2.9
0.4974
0.4981
0.4978
0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986
0.4976
0.4977
0.4977
0.4980
0.4981
3.0
0.4987
0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
3.1
0.4990
0.4991
0.4991
0.4991
0.4992 0.4992 0.4992 0.4992 0.4993
0.4993
3.2
3.3
0.4993
0.4993
0.4994
0.4995 0.4995 0.4996
0.4994
0,4994
0.4994
0.4994
0.4995
0.4996 0.4996 0.4997
0.4995
0.4995
0.4995
0.4996 0.4996 0.4996
3.4
0.4997
0.4997 0.4997 0.4997 0.4997 0.4997 0.4997
0.4997 0.4997
0.4998
3.5
3.6
3.7
0.4998
0.4998
0.4998 0.4998 0.4998 0.4998 0.4998
0.4998
0.4998 0.4998
0.4998
0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999
0.4999
0.4999
0.4999 0.4999 0.4999 0.4999
0.4999
0.4999
0.4999
0.4999
0.4999
3.8
0.4999
0.4999 0.4999 0.4999 0,4999 0.4999
0.4999
0.4999
0.4999
0,4999
3.9
0.5000 0.5000 0.5000 0.5000 0.5000 0.5000
0.5000
0.5000
0.5000
0.5000
Figure 1: Table of z values for normally distributed curve.
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