Evaluation: Solve the following problems. 1. In a given normal distribution, the sample mean is 65 and sample standard deviation is 4. Find the corresponding z-score of a student who receive a score of 55. 2. In a given normal distribution, the population mean is 90 and population standard deviation is 4.5. Find the corresponding z-score of a student who receive a score of 95. 3. On a test in Statistics, the mean is 75 and the standard deviation is 5. Assuming normality, what is the standard score of a student who receives a score of 80? 4. The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas in the Basic Calculus tests they are respectively equal to 70 and 2. If Genmat got a score of 88 in Statistics and a score of 76 in Basic Calculus, in which subject is his standing better assuming normality in both subjects?
Evaluation: Solve the following problems. 1. In a given normal distribution, the sample mean is 65 and sample standard deviation is 4. Find the corresponding z-score of a student who receive a score of 55. 2. In a given normal distribution, the population mean is 90 and population standard deviation is 4.5. Find the corresponding z-score of a student who receive a score of 95. 3. On a test in Statistics, the mean is 75 and the standard deviation is 5. Assuming normality, what is the standard score of a student who receives a score of 80? 4. The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas in the Basic Calculus tests they are respectively equal to 70 and 2. If Genmat got a score of 88 in Statistics and a score of 76 in Basic Calculus, in which subject is his standing better assuming normality in both subjects?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Areas Under the One-Tailed Standard Normal Curve
This table provides the area between
the mean and some Z score.
0=1
For example, when Z score=1.45
the area = 0.4265.
0.4265
Z
Z
0.00
0.01
0.02
0.06
0.09
0.05
0.0199 0.0239
0.0000 0.0040
0.0359
0.0080
0.0478 0.0517
0.0398 0.0438
0.03 0.04
0.0120 0.0160
0.0557
0.0948 0.0987 0.1026
0.1331
0.0596 0.0636
0.0753
0.0793 0.0832 0.0871
0.0910
0.1103 0.1141
0.1179 0.1217 0.1255
0.1293
0.1064
0.1368 0.1406 0.1443
0.1808
0.1480
0.1517
0.1554
0.1591 0.1628
0.1664
0.1700
0.1736 0.1772
0.1844 0.1879
0.1915
0.1950
0.1985
0.2019 0.2054
0.2088 0.2123
0.2157
0.2190
0.2224
0.2257
0.2291
0.2324
0.2357
0.2454 0.2486
0.2517
0.2549
0.2580 0.2611
0.2642
0.2673 0.2704
0.2764 0.2794
0.2823
0.2852
0.2734
0.3023 0.3051 0.3078 0.3106
0.2881 0.2910
0.2939
0.2967
0.2995
0.3133
0.3159 0.3186 0.3212
0.3238 0.3264
0.3289 0.3315 0.3340
0.3365
0.3389
0.3413 0.3438
0.3508
0.3554 0.3577 0.3599
0.3621
0.3643 0.3665 0.3686
0.3790 0.3810
0.3830
0.3708 0.3729
0.3907 0.3925
0.4082 0.4099
0.3531
0.3749 0.3770
0.3944 0.3962
0.4115 0.4131
0.3980 0.3997
0.4015
0.4147 0.4162
0.4177
0.3849 0.3869 0.3888
0.4032 0.4049 0.4066
0.4192 0.4207 0.4222
0.4332 0.4345 0.4357
0.4452 0.4463 0.4474 0.4484 0.4495
0.4236 0.4251
0.4292 0.4306
0.4319
0.4265 0.4279
0.4394 0.4406
0.4370 0.4382
0.4418 0.4429
0.4441
0.4505 0.4515
0.4525 0.4535 0.4545
0.4582 0.4591
0.4599 0.4608
0.4641 0.4649
0.4671
0.4678 0.4686
0.4554 0.4564 0.4573
0.4656 0.4664
0.4719 0.4726 0.4732
0.4772 0.4778 0.4783 0.4788
0.4616 0.4625 0.4633
0.4693 0.4699 0.4706
0.4744 0.4750 0.4756 0.4761
0.4713
0.4767
0.4817
0.4857
0.4830 0.4834
0.4868 0.4871
0.4881 0.4884 0.4887
0.4890
0.4916
0.4909 0.4911 0.4913
0.4931 0.4932 0.4934
0.4918 0.4920
0.4936
0.4948
0.4949 0.4951 0.4952
0.4738
0.4793 0.4798 0.4803 0.4808 0.4812
0.4821 0.4826
0.4838 0.4842 0.4846 0.4850 0.4854
0.4861 0.4864
0.4875 0.4878
0.4893 0.4896 0.4898 0.4901 0.4904 0.4906
0.4922 0.4925 0.4927 0.4929
0.4938 0.4940 0.4941 0.4943 0.4945 0.4946
0.4953 0.4955 0.4956 0.4957 0.4959 0.4960
0.4965 0.4966 0.4967 0.4968 0.4969
0.4974 0.4975 0.4976 0.4977 0.4977
0.4981
0.4981 0.4982 0.4982 0.4983 0.4984
0.4985 0.4986 0.4986
0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993
0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995
0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996
0.4997 0.4997 0.4997 0.4997
0.4998 0.4998 0.4998 0.4998
0.4961
0.4970 0.4971
0.4962 0.4963 0.4964
0.4974
0.4972 0.4973
0.4979 0.4980
0.4978 0.4979
0.4984 0.4985
0.4995
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
0.4999
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 0.4999 0.4999 0.4999 0.4999 0.4999
0.5000 0.5000 0.5000 0.5000 0.5000 0.5000
0.4999
0.4999 0.4999 0.4999 0.4999
0.5000 0.5000
0.5000 0.5000
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.4
3.5
3.6
3.7
3.8
3.9
0.3461 0.3485
0.2389 0.2422
H=0
1.45
0.07
0.08
0.0279 0.0319
0.0675 0.0714
Jalale
Transcribed Image Text:Evaluation: Solve the following problems.
1. In a given normal distribution, the sample mean is 65 and sample standard deviation is 4. Find the
corresponding z-score of a student who receive a score of 55.
2. In a given normal distribution, the population mean is 90 and population standard deviation is 4.5. Find the
corresponding z-score of a student who receive a score of 95.
3. On a test in Statistics, the mean is 75 and the standard deviation is 5. Assuming normality, what is the
standard score of a student who receives a score of 80?
4. The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas
in the Basic Calculus tests they are respectively equal to 70 and 2. If Genmat got a score of 88 in Statistics
and a score of 76 in Basic Calculus, in which subject is his standing better assuming normality in both
subjects?
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