na job fair, 3000 applicants applied for a job. Their nean age was found to be 28 with a standard eviation of 4 years. .) draw a normal curve distribution showing the z cores and raw scores. .) Find the age such that 75% are below it. Normal curve in letter A is the normal curve for etter B).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please graph clearly and show you solution.
Solve the following by concept of normal
distribution and graph clearly. Show your complete
solution and write clearly and readable. Thank you.
In a job fair, 3000 applicants applied for a job. Their
mean age was found to be 28 with a standard
deviation of 4 years.
A.) draw a normal curve distribution showing the z
scores and raw scores.
B.) Find the age such that 75% are below it.
(Normal curve in letter A is the normal curve for
letter B).
Transcribed Image Text:Solve the following by concept of normal distribution and graph clearly. Show your complete solution and write clearly and readable. Thank you. In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. A.) draw a normal curve distribution showing the z scores and raw scores. B.) Find the age such that 75% are below it. (Normal curve in letter A is the normal curve for letter B).
STANDARD NORMAL TABLE (Z)
Entries in the table give the area under the curve
between the mean and z standard deviations above
the mean. For example, for z = 1.25 the area under
the curve between the mean (0) and z is 0.3944.
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0 0.0000
0.0040
0.0080
0.0120
0.0160
0.0190
0.0239 0.0279
0.0319 0.0359
0.0398
0.2 0.0793
0.3 0.1179
0.4 0.1554
0.1
0.0478 0.0517 0.0557
0.0871
0.1255
0.0438
0.0596
0.0636 0.0675
0.0714 0.0753
0.1103
0.1480
0.0832
0.0910
0.0948
0.0987
0.1026
0.1064
0.1141
0.1217
0.1293
0.1331
0.1368
0.1406 0.1443
0.1517
0.1700
0.2054
0.1879
0.2224
0.1591
0.1628
0.1664
0.1736
0.1772
0.1808
0.1844
0.5
0.1915
0.1950 0.1985
0.2019
0.2088
0.2123
0.2157
0.2190
0.6
0.2257
0.2291 0.2324 0.2357
0.2389
0.2422
0.2454
0.2486
0.2517
0.2549
0.7 0.2580
0.2611
0.2642
0.2673
0.2704
0.2734
0.2764
0.2794
0.2823
0.2852
0.8
0.2881
0.2910
0.2939
0.2969
0.2995
0.3023
0.3051
0.3078
0.3106
0.3133
0.9
1.0
0.3212 0.3238 0.3264
0.3461
0.3686
0.3186
0.3289
0.3340
0.3365 0.3389
0.3529
0.3159
0.3315
0.3413
0.3438
0.3485
0.3508
0.3513
0.3554
0.3577
0.3621
1.1
1.2
1.3
0.3643
0.3665
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.3830
0.3849
0.3869
0.3907
0.4082 0.4099
0.3888
0.3925
0.3944
0.3962
0.3980
0.3997
0.4015
0.4032
0.4049
0.4066
0.4115
0.4131
0.4147
0.4162
0.4177
1.4
0.4192
0.4207
0.4222
0.4236
0.4251
0.4265
0.4279
0.4292
0.4306
0.4319
1.5
0.4332
0.4345
0.4357
0.4370
0.4382
0.4394
0.4406
0.4418
0.4429
0.4441
1.6
1.7
1.8
0.4452
0.4463
0.4474
0.4484
0.4495
0.4505
0.4515
0.4525
0.4535
0.4545
0.4554
0.4641
0.4564
0.4573
0.4582
0.4591
0.4599
0.4608
0.4616
0.4625
0.4633
0.4649
0.4656
0.4664
0.4671
0.4678
0.4686
0.4693
0.4699
0.4706
1.9
2.0 0.4772
2.1
2.2 0.4861
0.4719
0.4778
0.4713
0.4726
0.4732
0.4738
0.4744
0.4750
0.4756 0.4761
0.4767
0.4783
0.4788
0.4793 0.4798
0.4842
0.4803
0.4808
0.4812
0.4817
0.4838
0.4875
0.4821
0.4826
0.4830
0.4834
0.4846
0.4850
0.4854
0.4857
0.4864
0.4868
0.4871
0.4878
0.4881
0.4884
0.4887 0.4890
2.3
2.4
2.5
0.4893
0.4918
0.4896
0.4898
0.4901
0.4904
0.4906
0.4909
0.4911
0.4913
0.4916
0.4920
0.4922
0.4925
0.4927
0.4929
0.4931
0.4932 0.4934
0.4936
0.4938
0.4953
0.4965
0.4941
0.4956
0.4940
0.4945
0.4959
0.4943
0.4946
0.4948
0.4949
0.4951
0.4952
2.6
0.4955
0.4966
0.4975
0.4957
0.4960
0.4961
0.4962
0.4963
0.4964
2.7
0.4967
0.4968
0.4969
0.4970
0.4971
0.4972 0.4973
0.4974
2.8
2.9
3.0
3.1
3.2
3.3 0.4995
3.4 0.4997
0.4974
0.4976
0.4977
0.4977
0.4978
0.4979
0.4979
0.4980
0.4981
0.4981
0.4982
0.4982
0.4983
0.4984
0.4984
0.4985
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
0.4991
0.4991
0.4992
0.4994 0.4994
0.4990
0.4991
0.4992
0.4992
0.4992
0.4993
0.4993
0.4993
0.4995
0.4993
0.4994
0.4994
0.4994
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
0.4997
0.4997
0.4997
0.4997
0.4997
0.4998
Transcribed Image Text:STANDARD NORMAL TABLE (Z) Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z = 1.25 the area under the curve between the mean (0) and z is 0.3944. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0190 0.0239 0.0279 0.0319 0.0359 0.0398 0.2 0.0793 0.3 0.1179 0.4 0.1554 0.1 0.0478 0.0517 0.0557 0.0871 0.1255 0.0438 0.0596 0.0636 0.0675 0.0714 0.0753 0.1103 0.1480 0.0832 0.0910 0.0948 0.0987 0.1026 0.1064 0.1141 0.1217 0.1293 0.1331 0.1368 0.1406 0.1443 0.1517 0.1700 0.2054 0.1879 0.2224 0.1591 0.1628 0.1664 0.1736 0.1772 0.1808 0.1844 0.5 0.1915 0.1950 0.1985 0.2019 0.2088 0.2123 0.2157 0.2190 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2969 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 1.0 0.3212 0.3238 0.3264 0.3461 0.3686 0.3186 0.3289 0.3340 0.3365 0.3389 0.3529 0.3159 0.3315 0.3413 0.3438 0.3485 0.3508 0.3513 0.3554 0.3577 0.3621 1.1 1.2 1.3 0.3643 0.3665 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 0.3849 0.3869 0.3907 0.4082 0.4099 0.3888 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 0.4032 0.4049 0.4066 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 1.7 1.8 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 0.4554 0.4641 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 2.0 0.4772 2.1 2.2 0.4861 0.4719 0.4778 0.4713 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 0.4783 0.4788 0.4793 0.4798 0.4842 0.4803 0.4808 0.4812 0.4817 0.4838 0.4875 0.4821 0.4826 0.4830 0.4834 0.4846 0.4850 0.4854 0.4857 0.4864 0.4868 0.4871 0.4878 0.4881 0.4884 0.4887 0.4890 2.3 2.4 2.5 0.4893 0.4918 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 0.4938 0.4953 0.4965 0.4941 0.4956 0.4940 0.4945 0.4959 0.4943 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4955 0.4966 0.4975 0.4957 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 2.9 3.0 3.1 3.2 3.3 0.4995 3.4 0.4997 0.4974 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 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 0.4991 0.4991 0.4992 0.4994 0.4994 0.4990 0.4991 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4995 0.4993 0.4994 0.4994 0.4994 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 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998
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