The mean speed of vehicles along a stretch of highway is 100 kph with a standard deviation of 4 kph. You measure the speed of three cars traveling along this stretch of highways as 82 mph, 67 mph, and 76 mph. Find the z-score that corresponds to each speed. Determine which car had a relatively faster speed.
The mean speed of vehicles along a stretch of highway is 100 kph with a standard deviation of 4 kph. You measure the speed of three cars traveling along this stretch of highways as 82 mph, 67 mph, and 76 mph. Find the z-score that corresponds to each speed. Determine which car had a relatively faster speed.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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STATISTICS (THUMBS UP WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTION. DO NOT USE EXCEL OR SOFTWARE. DO NOT SHORTCUT. MANUAL COMPUTATIONS NEEDED. SEE THE ATTACHED IMAGE FOR THE AREAS UNDER NORMAL CURVE IF NECESSARY)
The mean speed of vehicles along a stretch of highway is 100 kph with a standard deviation of 4 kph. You measure the speed of three cars traveling along this stretch of highways as 82 mph, 67 mph, and 76 mph. Find the z-score that corresponds to each speed. Determine which car had a relatively faster speed.
Transcribed Image Text:Table 4.3. Areas under Normal Curve
Z
0.01
0.04
0.1141
0.1517
0.1879
0.2224
0.00
0.02 0.03
0.05 0.06 0.07 0.08 0.09
0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359
0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753
0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103
0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480
0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844
0.5 0.1915 0.1950 0.1985 0.2019
0.2054 0.2088 0.2123 0.2157 0.2190
0.6 0.2257 0.2291 0.2324 0.2357
0.2389
0.2422 0.2454
0.7 0.2580 0.2611 0.2642 0.2673 0.2703 0.2734 0.2764 0.2794 0.2823 0.2852
0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133
0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389
1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621
1.1 0.3643 0.3665 0.3686 0.3708
0.3749 0.3770 0.3790 0.3810
0.3944 0.3962 0.3980 0.3997
0.2486 0.2517 0.2549
0.3729
0.3830
1.2
0.3849
0.3869
0.3888
0.3907
0.4015
0.4049
0.4066
0.4082
0.4131 0.4147 0.4162
0.4177
0.3925
0.4099 0.4115
0.4222 0.4236 0.4251 0.4265
0.4357 0.4370 0.4382 0.4394
0.4279 0.4292 0.4306
1.3 0.4032
1.4 0.4192 0.4207
1.5 0.4332 0.4345
0.4406 0.4418 0.4429
1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545
1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633
0.4319
0.4441
0.4890
1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706
1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767
2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817
2.1 0.4821 0.4826 0.4830 0.4834 0.4838
0.4838 0.4842 0.4846 0.4850 0.4854 0.4857
2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887
2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916
2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936
2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952
2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964
2.7 0.4965 0.4966
0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974
2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981
2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986
0.4986
3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990
3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993
3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995
3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996
0.4997
3.4 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 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998
3.6 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999
3.7 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
Z
0.00 0.01 0.02 0.03 0.04 0.05
0.4990
0.4993
0.4995
3.5
0.06
0.07
0.08
0.09
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