Please complete the following exercises according to Areas under the normal curve table.  In an IQ (Intelligence Quotient)distribution (which is a normal distribution)with mean of 100 and a standard deviation of 15, find the percentage of individuals who has and IQ of: a)More than 135(genius) b)Less than 90 c)Between 75 and 125

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Question

Please complete the following exercises according to Areas under the normal curve table.

 In an IQ (Intelligence Quotient)distribution (which is a normal distribution)with mean of 100 and a standard deviation of 15, find the percentage of individuals who has and IQ of:
a)More than 135(genius)
b)Less than 90
c)Between 75 and 125

TABLE A.2 Areas Under the Normal Curve (2 Table) (continued)
322 APPENDIX A
Statistical Tables
TABLE A.2 Areas Under the Normal Curve (z Table) (continued)
Area
Between
Mean and z
Area
Beyond
Area
Area
Beyond
Area
Betreen
Mean and z
Area
Area
Between
Area
Beyond
Beyond
0.49506
0.00494
0.00479
0.00466
Between
2.58
2.59
Mean and z
Mean and z
0.49521
0.01577
2.90
0.48423
0.48461
0.48501
0.48537
0.48575
0.49813
0.49820
O.49825
0.49832
2.15
0.49534
0.04272
0.04180
0.04093
0.04005
1.72
0.45728
0.45820
0.45907
0.45995
0.01539
0.01499
0.01463
2.60
2.61
2.91
0.00187
0.00180
0.00175
0.00168
0.00164
0.00158
0.00154
0.00148
0.00144
0.00138
0.00135
0.00126
0.00118
1.73
2.16
0.49548
0.00452
0.00440
0.00426
0.00415
0.00401
0.00391
0.00378
0.00368
0.00356
2.92
2.17
0.49560
0.49574
1.74
2.62
2.63
2.64
2.65
2.66
2.67
2.93
2.18
1.75
1.76
0.01425
0.01390
0.01354
2.94
2.95
2.96
2.97
2.98
0.49836
0.49842
2.19
0.46080
0.03920
0.49585
2.20
0.48610
1.77
0.46165
0.03835
0.49599
0.48646
0.49846
0.49852
0.49856
0.49862
2.21
0.03754
1.78
1.79
1.80
0.46246
0.01321
0.01286
0.01255
0.01221
0.49609
0.48679
0.48714
2.22
0.46328
0.46407
0.46486
0.03672
0.03593
0.49622
0.49632
2.23
2.24
2.25
2.26
0.48745
0.48779
2.68
2.69
2.70
2.71
2.72
2.99
3.00
1.81
0.03514
0.49644
0.46562
0.46639
0.03438
0.03361
0.03288
0.49665
0.49874
1.82
3.02
3.04
0.01191
0.48809
0.48841
0.49653
0.00347
1.83
1.84
0.01159
0.49665
0.49882
0.49889
0.49896
0.49903
0.49910
0.49916
0.49921
2.27
0.00335
0.00326
0.46712
0.48870
0.48900
0.48928
3.06
3.08
0.01130
2.28
0.49674
1.85
1.86
1.87
0.46785
0.03215
0.01100
0.01072
0.00111
0.00104
2.29
0.03144
0.03073
0.03005
0.49684
0.00316
0.00307
0.46856
2.73
2.30
3.10
0.49693
0.49703
0.00097
0.00090
0.00084
0.00079
0.00074
0.00069
0.46927
2.74
0.01043
0.01017
0.00989
2.31
0.48957
3.12
1.88
0.46995
2.75
0.00297
0.48983
0.49011
0.49036.
3.14
3.16
2.32
0.02937
0.02872
1.89
0.47063
2.76
2.77
0.49711
0.00289
0.00279
0.00272
0.47128
2.33
0.49721
0.49728
1.90
0.00964
0.00938
0.00914
0.00888
3.18
2.34
2.35
0.49926
0.49931
1.91
0.47194
0.02806
0.49062
2.78
3.20
1.92
0.47257
0.02743
0.49086
2.79
0.49738
0.00262
3.25
0.49943
0.49952
2.36
0.00057
0.47321
0.47381
1.93
0.02679
2.37
0.49112
2.80
0.49744
0.00256
3.30
0.00048
0.00039
1.94
0.02619
0.49753
0.00247
0.49134
0.49159
0.49180
1.95
0.47442
0.02558
2.38
0.00866
2.81
3.35
0.49961
0.00841
2.82
0.49760
0.49768
0.49774
0.49782
0.49788
1.96
0.47500
0.02500
2.39
0.00240
3.40
0.49966
0.00034
2.40
0.00820
2.83
0.00232
3.45
0.49973
0.00027
0.02441
0.02385
1.97
0.47559
2.41
0.49203
0.00797
2.84
0.00226
3.50
0.49977
0.47615
0.47672
0.00023
0.00016
1.98
0.00776
0.00754
0.00734
0.00218
0.00212
0.49224
2.85
2.86
2.87
2.88
2.89
1.99
0.02328
2.42
3.60
0.49984
0.49246
0.49266
0.49287
0.49989
0.49993
0.49995
0.49997
2.43
3.70
0.00011
0.47725
0.47780
0.47831
0.47883
2.00
0.02275
0.00007
0.00005
2.44
0.00204
0.00199
3.80
3.90
2.01
0.02220
0.49796
2.02
0.02169
2.45
0.00713
0.49801
2.46
0.49305
0.00695
4.00
0.00003
2.03
0.02117
0.49808
0.00192
2.04
0.47932
0.02068
2.47
0.49325
0.00675
tehman, R. S. (1995). Stotistica in the Behavioral Sciences: A Conceptual Irtroduction. Pacific Grove, CA: Brooks/Cole
habishing. Reprinted by permission of the author.
2.48
0.49343
0.00657
0.47983
0.48030
0.48078
0.48124
0.48170
2.05
0.02017
2.06
0.01970
2.49
0.49362
0.00638
0.49379
0.49397
0.49413
0.49431
0.49446
0.49462
0.00621
0.01922
0.01876
0.01830
0.01786
2.50
2.07
0.00603
0.00587
0.00569
0.00554
0.00538
0.00523
2.08
2.51
2.09
2.52
2.10
0.48214
2.53
2.11
0.48258
0.01742
2.54
0.01700
0.01658
2.12
0.48300
2.55
2.56
0.49477
2.13
2.14
0.48342
0.48382
0.01618
2.57
0.49493
0.00507
(continued)
Transcribed Image Text:TABLE A.2 Areas Under the Normal Curve (2 Table) (continued) 322 APPENDIX A Statistical Tables TABLE A.2 Areas Under the Normal Curve (z Table) (continued) Area Between Mean and z Area Beyond Area Area Beyond Area Betreen Mean and z Area Area Between Area Beyond Beyond 0.49506 0.00494 0.00479 0.00466 Between 2.58 2.59 Mean and z Mean and z 0.49521 0.01577 2.90 0.48423 0.48461 0.48501 0.48537 0.48575 0.49813 0.49820 O.49825 0.49832 2.15 0.49534 0.04272 0.04180 0.04093 0.04005 1.72 0.45728 0.45820 0.45907 0.45995 0.01539 0.01499 0.01463 2.60 2.61 2.91 0.00187 0.00180 0.00175 0.00168 0.00164 0.00158 0.00154 0.00148 0.00144 0.00138 0.00135 0.00126 0.00118 1.73 2.16 0.49548 0.00452 0.00440 0.00426 0.00415 0.00401 0.00391 0.00378 0.00368 0.00356 2.92 2.17 0.49560 0.49574 1.74 2.62 2.63 2.64 2.65 2.66 2.67 2.93 2.18 1.75 1.76 0.01425 0.01390 0.01354 2.94 2.95 2.96 2.97 2.98 0.49836 0.49842 2.19 0.46080 0.03920 0.49585 2.20 0.48610 1.77 0.46165 0.03835 0.49599 0.48646 0.49846 0.49852 0.49856 0.49862 2.21 0.03754 1.78 1.79 1.80 0.46246 0.01321 0.01286 0.01255 0.01221 0.49609 0.48679 0.48714 2.22 0.46328 0.46407 0.46486 0.03672 0.03593 0.49622 0.49632 2.23 2.24 2.25 2.26 0.48745 0.48779 2.68 2.69 2.70 2.71 2.72 2.99 3.00 1.81 0.03514 0.49644 0.46562 0.46639 0.03438 0.03361 0.03288 0.49665 0.49874 1.82 3.02 3.04 0.01191 0.48809 0.48841 0.49653 0.00347 1.83 1.84 0.01159 0.49665 0.49882 0.49889 0.49896 0.49903 0.49910 0.49916 0.49921 2.27 0.00335 0.00326 0.46712 0.48870 0.48900 0.48928 3.06 3.08 0.01130 2.28 0.49674 1.85 1.86 1.87 0.46785 0.03215 0.01100 0.01072 0.00111 0.00104 2.29 0.03144 0.03073 0.03005 0.49684 0.00316 0.00307 0.46856 2.73 2.30 3.10 0.49693 0.49703 0.00097 0.00090 0.00084 0.00079 0.00074 0.00069 0.46927 2.74 0.01043 0.01017 0.00989 2.31 0.48957 3.12 1.88 0.46995 2.75 0.00297 0.48983 0.49011 0.49036. 3.14 3.16 2.32 0.02937 0.02872 1.89 0.47063 2.76 2.77 0.49711 0.00289 0.00279 0.00272 0.47128 2.33 0.49721 0.49728 1.90 0.00964 0.00938 0.00914 0.00888 3.18 2.34 2.35 0.49926 0.49931 1.91 0.47194 0.02806 0.49062 2.78 3.20 1.92 0.47257 0.02743 0.49086 2.79 0.49738 0.00262 3.25 0.49943 0.49952 2.36 0.00057 0.47321 0.47381 1.93 0.02679 2.37 0.49112 2.80 0.49744 0.00256 3.30 0.00048 0.00039 1.94 0.02619 0.49753 0.00247 0.49134 0.49159 0.49180 1.95 0.47442 0.02558 2.38 0.00866 2.81 3.35 0.49961 0.00841 2.82 0.49760 0.49768 0.49774 0.49782 0.49788 1.96 0.47500 0.02500 2.39 0.00240 3.40 0.49966 0.00034 2.40 0.00820 2.83 0.00232 3.45 0.49973 0.00027 0.02441 0.02385 1.97 0.47559 2.41 0.49203 0.00797 2.84 0.00226 3.50 0.49977 0.47615 0.47672 0.00023 0.00016 1.98 0.00776 0.00754 0.00734 0.00218 0.00212 0.49224 2.85 2.86 2.87 2.88 2.89 1.99 0.02328 2.42 3.60 0.49984 0.49246 0.49266 0.49287 0.49989 0.49993 0.49995 0.49997 2.43 3.70 0.00011 0.47725 0.47780 0.47831 0.47883 2.00 0.02275 0.00007 0.00005 2.44 0.00204 0.00199 3.80 3.90 2.01 0.02220 0.49796 2.02 0.02169 2.45 0.00713 0.49801 2.46 0.49305 0.00695 4.00 0.00003 2.03 0.02117 0.49808 0.00192 2.04 0.47932 0.02068 2.47 0.49325 0.00675 tehman, R. S. (1995). Stotistica in the Behavioral Sciences: A Conceptual Irtroduction. Pacific Grove, CA: Brooks/Cole habishing. Reprinted by permission of the author. 2.48 0.49343 0.00657 0.47983 0.48030 0.48078 0.48124 0.48170 2.05 0.02017 2.06 0.01970 2.49 0.49362 0.00638 0.49379 0.49397 0.49413 0.49431 0.49446 0.49462 0.00621 0.01922 0.01876 0.01830 0.01786 2.50 2.07 0.00603 0.00587 0.00569 0.00554 0.00538 0.00523 2.08 2.51 2.09 2.52 2.10 0.48214 2.53 2.11 0.48258 0.01742 2.54 0.01700 0.01658 2.12 0.48300 2.55 2.56 0.49477 2.13 2.14 0.48342 0.48382 0.01618 2.57 0.49493 0.00507 (continued)
TABLE A.2 Areas Under the Normal Curve (z Table) (continued)
320 APPENDIX A
aLE A.2 Areas Under the Normal Curve (z Table) (continued)
Statistical Tables 321
TABLE A.2 Areas Under the Normal Curve (z Table)
Area
Area
Between
Area
Between
Mean and z
Area
Beyond
Beyond
Area
Area
Area
Between
Mean and
Beyond
Mean and z
Area
leyond
Between
Mean and z
0.33359
0.16641
0.17003
0.17366
0.86
0.30511
0.30786
0.43
0.19489
0.19214
0.18943
0.18672
0.18406
0.18140
0.17879
0.17617
0.17361
0.17105
0.16853
0.16601
0.50000
0.00000
0.00400
0.00798
0.01198
0.01595
0.32997
0.32634
0.32276
0.87
0.88
0.00
1.29
0.44
0.45
0.40149
0.09851
0.09680
0.09509
0.09342
0.09175
0.09012
0.08850
0.08691
0.08533
0.08379
0.08225
0.08076
0.07926
0.07780
0.07635
0.49500
0.31057
0.31328
0.31594
0.01
1.30
0.40320
0.49202
0.48802
0.48405
0.48005
0.47608
0.17724
0.18083
0.18439
0.18794
0.19146
0.19498
0.19847
0.02
0.89
1.31
0.40491
0.46
0.47
0.48
0.49
0.50
0.31917
0.31561
0.90
0.91
0.03
1.32
inehart
0.40658
0.40825
0,40988
0.41150
1.33
0.31860
0.32121
0.32383
0.04
0.05
0.01995
0.31206
0.92
1.34
0.02392
0.02791
0.30854
0.30502
0.06
1.35
0.47209
0.46812
0.93
0.94
1.36
1.37
1.38
1.39
0.07
0.41309
0.03188
0.03587
0.03983
0.04381
0.51
0.52
0.53
0.32639
0.32895
0.33147
0.33399
0.08
0.30153
0.29805
0.95
0.96
0.46413
0.46017
0.45619
0.45224
0.44827
0.44433
0.41467
0.41621
0.41775
0.41924
0.42074
0.09
0.20195
0.20540
0.20885
0.21226
0.10
0.11
0.29460
0.97
0.54
0.55
0.56
0.29115
0.98
0.33646
1.40
0.16354
0.04776
0.05173
0.12
0.28774
0.99
1.41
0.33892
0.34134
0.34376
0.16108
0.15866
1.42
1.43
1.44
0.13
0.28433
0.42220
0.21567
0.21904
0.22242
1.00
0.57
0.42365
0.42507
0.14
0.05567
0.28096
1.01
0.58
0.15624
0.15386
0.05963
0.06356
0.06751
0.44037
0.43644
0.43249
0.15
0.07493
0.59
0.27758
1.02
0.34614
0.16
1.45
0.42648
0.07352
0.22575
0.22908
0.23237
0.23566
0.23891
0.60
0.27425
1.03
0.34851
0.15149
1.46
0.42785
0.42923
0.17
0.07215
0.61
0.27092
1.04
0.35083
0.14917
1.47
0.07142
0.42858
0.07077
0.18
0.19
0.26763
1.05
0.35315
0.35543
0.14685
0.14457
0.62
0.63
0.64
0.65
1.48
0.43056
0.43190
0.43319
0.07536
0.42464
0.06944
0.26434
1.06
1.49
0.06810
0.20
0.07926
0.42074
0.26109
1.07
0.35770
0.14230
0.14007
0.13785
0.13567
0.13349
1.50
0.06681
0.06551
0.06426
0.06300
0.21
0.08318
0.41682
1.08
0.35993
0.24216
0.24537
0.25784
1.51
0.43449
0.22
0.08706
0.41294
0.25463
0.25142
0.36215
0.36433
1.09
1.52
0.43574
0.43700
0.43822
0.43944
0.44062
0.23
0.09096
0.40904
0.66
1.10
1.53
0.24858
0.25175
0.25491
0.09483
0.67
0.40517
0.40128
0.24
0.36651
0.36864
0.37077
0.37286
1.54
0.06178
0.06056
0.05938
0.68
0.24825
1.11
0.25
0.09872
0.24509
1.12
0.13136
1.55
0.39743
0.39357
0.26
0.10257
0.69
1.13
0.12923
1.56
0.70
0.25804
0.24196
0.10643
0.11026
0.11410
0.27
0.05820
0.12714
0.12506
0.12302
1.57
0.44180
0.38974
0.71
0.26116
0.23884
1.14
0.28
0.05705
0.44295
0.44409
0.44520
1.58
0.38590
0.72
0.26424
0.23576
1.15
0.37494
0.29
1.59
0.05591
0.37698
0.37901
0.38100
0.38299
0.38493
0.38687
0.38877
0.39066
0.39251
0.39436
0.39617
0.39797
0.30
0.11791
0.38209
0.73
0.26732
0.23268
1.16
0.05480
1.60
0.12099
0.11900
0.27035
0.27338
0.27637
0.27936
0.28230
0.28525
1.17
1.18
1.19
1.20
1.21
0.05369
0.05262
0.05154
0.05050
0.04946
0.31
0.12173
0.37827
0.74
0.22965
1.61
0.44631
0.32
0.12552
0.37448
0.75
0.22662
1.62
0.44738
0.11701
0.22363
0.22064
0.21770
0.44846
0.44950
0.45054
0.33
0.12931
0.37069
0.76
1.63
1.64
0.11507
0.11313
0.11123
0.10934
0.10749
0.10564
0.10383
0.10203
0.10027
0.34
0.13307
0.36693
0.77
0.35
0.13684
0.36316
0.78
1.65
0.04845
0.04745
0.04648
0.04550
0.04457
0.04362
0.36
0.14058
0.35942
0.79
0.21475
1.22
1.66
0.45154
0.45255
0.45352
0.45450
0.45543
0.45638
0.37
0.14432
0.35568
0.80
0.28814
0.21186
1.23
1.67
1.24
1.25
1.26
0.38
0.14803
0.35197
0.81
1.68
0.20896
0.20611
0.29104
0.39
0.15174
0.34826
0.82
1.69
0.29389
0.29674
0.29955
0.30235
0.40
0.15542
0.34458
0.83
0.20326
1.70
0.41
0.15911
0.16276
0.34089
0.84
0.20045
1.27
1.71
0.42
0.39973
(contirued)
0.33724
0.85
0.19765
1.28
Transcribed Image Text:TABLE A.2 Areas Under the Normal Curve (z Table) (continued) 320 APPENDIX A aLE A.2 Areas Under the Normal Curve (z Table) (continued) Statistical Tables 321 TABLE A.2 Areas Under the Normal Curve (z Table) Area Area Between Area Between Mean and z Area Beyond Beyond Area Area Area Between Mean and Beyond Mean and z Area leyond Between Mean and z 0.33359 0.16641 0.17003 0.17366 0.86 0.30511 0.30786 0.43 0.19489 0.19214 0.18943 0.18672 0.18406 0.18140 0.17879 0.17617 0.17361 0.17105 0.16853 0.16601 0.50000 0.00000 0.00400 0.00798 0.01198 0.01595 0.32997 0.32634 0.32276 0.87 0.88 0.00 1.29 0.44 0.45 0.40149 0.09851 0.09680 0.09509 0.09342 0.09175 0.09012 0.08850 0.08691 0.08533 0.08379 0.08225 0.08076 0.07926 0.07780 0.07635 0.49500 0.31057 0.31328 0.31594 0.01 1.30 0.40320 0.49202 0.48802 0.48405 0.48005 0.47608 0.17724 0.18083 0.18439 0.18794 0.19146 0.19498 0.19847 0.02 0.89 1.31 0.40491 0.46 0.47 0.48 0.49 0.50 0.31917 0.31561 0.90 0.91 0.03 1.32 inehart 0.40658 0.40825 0,40988 0.41150 1.33 0.31860 0.32121 0.32383 0.04 0.05 0.01995 0.31206 0.92 1.34 0.02392 0.02791 0.30854 0.30502 0.06 1.35 0.47209 0.46812 0.93 0.94 1.36 1.37 1.38 1.39 0.07 0.41309 0.03188 0.03587 0.03983 0.04381 0.51 0.52 0.53 0.32639 0.32895 0.33147 0.33399 0.08 0.30153 0.29805 0.95 0.96 0.46413 0.46017 0.45619 0.45224 0.44827 0.44433 0.41467 0.41621 0.41775 0.41924 0.42074 0.09 0.20195 0.20540 0.20885 0.21226 0.10 0.11 0.29460 0.97 0.54 0.55 0.56 0.29115 0.98 0.33646 1.40 0.16354 0.04776 0.05173 0.12 0.28774 0.99 1.41 0.33892 0.34134 0.34376 0.16108 0.15866 1.42 1.43 1.44 0.13 0.28433 0.42220 0.21567 0.21904 0.22242 1.00 0.57 0.42365 0.42507 0.14 0.05567 0.28096 1.01 0.58 0.15624 0.15386 0.05963 0.06356 0.06751 0.44037 0.43644 0.43249 0.15 0.07493 0.59 0.27758 1.02 0.34614 0.16 1.45 0.42648 0.07352 0.22575 0.22908 0.23237 0.23566 0.23891 0.60 0.27425 1.03 0.34851 0.15149 1.46 0.42785 0.42923 0.17 0.07215 0.61 0.27092 1.04 0.35083 0.14917 1.47 0.07142 0.42858 0.07077 0.18 0.19 0.26763 1.05 0.35315 0.35543 0.14685 0.14457 0.62 0.63 0.64 0.65 1.48 0.43056 0.43190 0.43319 0.07536 0.42464 0.06944 0.26434 1.06 1.49 0.06810 0.20 0.07926 0.42074 0.26109 1.07 0.35770 0.14230 0.14007 0.13785 0.13567 0.13349 1.50 0.06681 0.06551 0.06426 0.06300 0.21 0.08318 0.41682 1.08 0.35993 0.24216 0.24537 0.25784 1.51 0.43449 0.22 0.08706 0.41294 0.25463 0.25142 0.36215 0.36433 1.09 1.52 0.43574 0.43700 0.43822 0.43944 0.44062 0.23 0.09096 0.40904 0.66 1.10 1.53 0.24858 0.25175 0.25491 0.09483 0.67 0.40517 0.40128 0.24 0.36651 0.36864 0.37077 0.37286 1.54 0.06178 0.06056 0.05938 0.68 0.24825 1.11 0.25 0.09872 0.24509 1.12 0.13136 1.55 0.39743 0.39357 0.26 0.10257 0.69 1.13 0.12923 1.56 0.70 0.25804 0.24196 0.10643 0.11026 0.11410 0.27 0.05820 0.12714 0.12506 0.12302 1.57 0.44180 0.38974 0.71 0.26116 0.23884 1.14 0.28 0.05705 0.44295 0.44409 0.44520 1.58 0.38590 0.72 0.26424 0.23576 1.15 0.37494 0.29 1.59 0.05591 0.37698 0.37901 0.38100 0.38299 0.38493 0.38687 0.38877 0.39066 0.39251 0.39436 0.39617 0.39797 0.30 0.11791 0.38209 0.73 0.26732 0.23268 1.16 0.05480 1.60 0.12099 0.11900 0.27035 0.27338 0.27637 0.27936 0.28230 0.28525 1.17 1.18 1.19 1.20 1.21 0.05369 0.05262 0.05154 0.05050 0.04946 0.31 0.12173 0.37827 0.74 0.22965 1.61 0.44631 0.32 0.12552 0.37448 0.75 0.22662 1.62 0.44738 0.11701 0.22363 0.22064 0.21770 0.44846 0.44950 0.45054 0.33 0.12931 0.37069 0.76 1.63 1.64 0.11507 0.11313 0.11123 0.10934 0.10749 0.10564 0.10383 0.10203 0.10027 0.34 0.13307 0.36693 0.77 0.35 0.13684 0.36316 0.78 1.65 0.04845 0.04745 0.04648 0.04550 0.04457 0.04362 0.36 0.14058 0.35942 0.79 0.21475 1.22 1.66 0.45154 0.45255 0.45352 0.45450 0.45543 0.45638 0.37 0.14432 0.35568 0.80 0.28814 0.21186 1.23 1.67 1.24 1.25 1.26 0.38 0.14803 0.35197 0.81 1.68 0.20896 0.20611 0.29104 0.39 0.15174 0.34826 0.82 1.69 0.29389 0.29674 0.29955 0.30235 0.40 0.15542 0.34458 0.83 0.20326 1.70 0.41 0.15911 0.16276 0.34089 0.84 0.20045 1.27 1.71 0.42 0.39973 (contirued) 0.33724 0.85 0.19765 1.28
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