Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table, Click to view page 2 of the table 125 The area of the shaded region is. (Round to four decimal places as needed.)

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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Question
NEGATIVE z Scores
POSITIVE z
z Scores
Standard Normal (2) Distribution: Cumulative Area from the LEFT
| Standard Normal (2) Distribution: Cumulative Area from the LEFT
00
01
02
00
01
02
03
04
0s
06
09
03
04
0s
06
07
08
-350
0.0
so00
5040
s120
S239
$279
S517
5596
5636
STA
5398
5785
SAS8
S478
S557
5675
S753
and
02
Sa2
5910
5948
6026
6064
603
6141
lower
0001
03
79
6217
6255
6293
6331
6368
6406
6480
6517
0003
000s
0003
000s
0004
-34
0003
0003
0003
000s
o00s
0003
o002
04
6554
659
64
6700
6736
6772
723
-33
00os
.0004
0004
0004
o004
0004
6808
6844
879
695
.7257
as
6950
7019
J054
7190
7224
-32
0007
0007
0006
0006
000s
0006
0006
000s
00os
ocos
--31
0009
0009
0009
0008
0008
0008
c008
0007
0007
7291
7324
7357
7389
7422
3454
3486
7517
7549
oom
07
7580
7642
7673
7704
7754
7764
7794
7823
7852
--30
-29
o012
p02
0on
.0016
con
O010
8023
8289
8531
O018
o017
D06
0014
7881
7910
7959
7967
7995
BOSI
BO78
859
86
8238
8264
8315
8340
8365
8389
0025
0034
-28
0026
0024
0023
0023
0022
0021
.0020
8438
8485
ASOR
8S08
8554
AS77
A599
8621
-27
0032
0030
0040
0033
0029
0028
0027
0026
643
8665
8729
8749
8770
8790
8830
-26
0047
0045
0044
0043
0041
0039
0037
8888
8997
9162
12
B849
8907
8925
9015
-25
0062
0060
0057
0oss
o054
0052
0051. 0049
0048
9012
9049
SOR2
9099
9251
9147
977
-24
0082
0080
0078
0075
0073
.0071
o094
0069
0064
14
9207
9222
9236
9279
9292
9306
9519
9441
9265
-23
0104
009
0087
9332
9345
9370
9394
9495. 95os
951 4 95
9671
9382
3406
9515
-22
0136
O132
0129
0125
0122
ons
ono
9357
9416
9429
16
9525
9452
9554
21
0134
0170
015a
0150
OM6
9463
9474
9484
9535
9545
9573
9656
17
9564
9582
9608
9625
9633
0222
0281
-20
0226
0217
0212
0207
0202
0256
9649
9719
-19
0287
0274
0268
0262
0250
0244
0239
0233
941
664
9676
9686
9699
19
9713
9726
9732
9738
9744
9750
9756
9761
9767
-18
-17
0344
0329
0307
0294
9803
9612
9854
20
9776
9783
9788
9793
9798
9808
9817
0436
OS37
.0655
0793
0446
0427
04
0409
0401
0392
0384
0375
0367
9830
9857
9890
Osos. 049s
0455
21
9821
9826
9834
9838
9842
3846
9850
-16
0548
Os26
OS16
0485
0475
0465
-15
0643
0594
22
9861 9864 9868
9871
9875
9878
981
9884 9887
0630
0764
os82
os59
23
9893
9896
01
9904
9906
9909
9931
-14
0778
0735
0708
9013
9916
0749
0721
0694
24
9920
9922
025
9927
9932
9934
0638
1003
-13
0968
095
0934
098
0901
0885
0869
0853
O823
9949 . 951
9962 9963
9972
9979
9985
9989
-12
3075
3038
25
9938
9940
9941
9943
9945
9946
9948
9952
3020
3210
0985
J170
9959
9960
9970
26
9953
9955
9956
9961
9964
1357
3587
1335
1314
1292
1271
3251
1230
3190
27
9971
973
9934
-to
3562
1539
1515
3492
M69
3446
3423
3401
28
9974
9975
9977
9977
9978
9979
9980
9981
-0.9
3014
178
1762
1736
371
3660
9985
9989
-0.8
2090
2061
2033
2005
2977
1949
3922
3894
3867
29
9984
9984
9906
9968
9992
-07
2420
2589
2327
2296
2266
2206
2177
2148
3.0
9987
9987
9988
9989
9990
9990
2358
2256
31
9990
9991
9991
9991
9992
9992
9992
9993
9933
261
2514
2483
2810
-0.6
2M3
2709
2676
2643
2578
2546
2451
9994
9996
32
9993
9995
9993
9995
9994
9994
9994
9994
9995
9995
9996
-0.5
3085
3050
3015
3372
2981
2946
292
2877
2843
2776
33
9996
9996
9996
3300
3264
J192
3557
3936
-0.4
3409
3336
3228
3156
34
9997
9997
9997
9997
9997
9997
9997
9997
9998
3594
3974
-03
3821
3783
3707
3632
3520
3483
350
-02
A207
A29
A090
A062
AOS
J897
3a59
AS62
AS22
and up
-01
A483
4443
Mos
A325
A26
A247
A960 A920
A840
NOTE For values of z above 349, use 09999 for the area
Common Critical Valu
-0.0
so00
AB80
ABO1
A761
A681
Confidence | Critical
Vale
Level
090
Use these common values that resut from interpolation:
NOTE For values of below-3.49 use 0.0001 for the area
"Use these common values that result from interpolation
score Area
1645 0.9500
1645
2.575
095
196
I score Are
-L645 0.0500
0.9950
099
2575
-2575 0.005o
Transcribed Image Text:NEGATIVE z Scores POSITIVE z z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT | Standard Normal (2) Distribution: Cumulative Area from the LEFT 00 01 02 00 01 02 03 04 0s 06 09 03 04 0s 06 07 08 -350 0.0 so00 5040 s120 S239 $279 S517 5596 5636 STA 5398 5785 SAS8 S478 S557 5675 S753 and 02 Sa2 5910 5948 6026 6064 603 6141 lower 0001 03 79 6217 6255 6293 6331 6368 6406 6480 6517 0003 000s 0003 000s 0004 -34 0003 0003 0003 000s o00s 0003 o002 04 6554 659 64 6700 6736 6772 723 -33 00os .0004 0004 0004 o004 0004 6808 6844 879 695 .7257 as 6950 7019 J054 7190 7224 -32 0007 0007 0006 0006 000s 0006 0006 000s 00os ocos --31 0009 0009 0009 0008 0008 0008 c008 0007 0007 7291 7324 7357 7389 7422 3454 3486 7517 7549 oom 07 7580 7642 7673 7704 7754 7764 7794 7823 7852 --30 -29 o012 p02 0on .0016 con O010 8023 8289 8531 O018 o017 D06 0014 7881 7910 7959 7967 7995 BOSI BO78 859 86 8238 8264 8315 8340 8365 8389 0025 0034 -28 0026 0024 0023 0023 0022 0021 .0020 8438 8485 ASOR 8S08 8554 AS77 A599 8621 -27 0032 0030 0040 0033 0029 0028 0027 0026 643 8665 8729 8749 8770 8790 8830 -26 0047 0045 0044 0043 0041 0039 0037 8888 8997 9162 12 B849 8907 8925 9015 -25 0062 0060 0057 0oss o054 0052 0051. 0049 0048 9012 9049 SOR2 9099 9251 9147 977 -24 0082 0080 0078 0075 0073 .0071 o094 0069 0064 14 9207 9222 9236 9279 9292 9306 9519 9441 9265 -23 0104 009 0087 9332 9345 9370 9394 9495. 95os 951 4 95 9671 9382 3406 9515 -22 0136 O132 0129 0125 0122 ons ono 9357 9416 9429 16 9525 9452 9554 21 0134 0170 015a 0150 OM6 9463 9474 9484 9535 9545 9573 9656 17 9564 9582 9608 9625 9633 0222 0281 -20 0226 0217 0212 0207 0202 0256 9649 9719 -19 0287 0274 0268 0262 0250 0244 0239 0233 941 664 9676 9686 9699 19 9713 9726 9732 9738 9744 9750 9756 9761 9767 -18 -17 0344 0329 0307 0294 9803 9612 9854 20 9776 9783 9788 9793 9798 9808 9817 0436 OS37 .0655 0793 0446 0427 04 0409 0401 0392 0384 0375 0367 9830 9857 9890 Osos. 049s 0455 21 9821 9826 9834 9838 9842 3846 9850 -16 0548 Os26 OS16 0485 0475 0465 -15 0643 0594 22 9861 9864 9868 9871 9875 9878 981 9884 9887 0630 0764 os82 os59 23 9893 9896 01 9904 9906 9909 9931 -14 0778 0735 0708 9013 9916 0749 0721 0694 24 9920 9922 025 9927 9932 9934 0638 1003 -13 0968 095 0934 098 0901 0885 0869 0853 O823 9949 . 951 9962 9963 9972 9979 9985 9989 -12 3075 3038 25 9938 9940 9941 9943 9945 9946 9948 9952 3020 3210 0985 J170 9959 9960 9970 26 9953 9955 9956 9961 9964 1357 3587 1335 1314 1292 1271 3251 1230 3190 27 9971 973 9934 -to 3562 1539 1515 3492 M69 3446 3423 3401 28 9974 9975 9977 9977 9978 9979 9980 9981 -0.9 3014 178 1762 1736 371 3660 9985 9989 -0.8 2090 2061 2033 2005 2977 1949 3922 3894 3867 29 9984 9984 9906 9968 9992 -07 2420 2589 2327 2296 2266 2206 2177 2148 3.0 9987 9987 9988 9989 9990 9990 2358 2256 31 9990 9991 9991 9991 9992 9992 9992 9993 9933 261 2514 2483 2810 -0.6 2M3 2709 2676 2643 2578 2546 2451 9994 9996 32 9993 9995 9993 9995 9994 9994 9994 9994 9995 9995 9996 -0.5 3085 3050 3015 3372 2981 2946 292 2877 2843 2776 33 9996 9996 9996 3300 3264 J192 3557 3936 -0.4 3409 3336 3228 3156 34 9997 9997 9997 9997 9997 9997 9997 9997 9998 3594 3974 -03 3821 3783 3707 3632 3520 3483 350 -02 A207 A29 A090 A062 AOS J897 3a59 AS62 AS22 and up -01 A483 4443 Mos A325 A26 A247 A960 A920 A840 NOTE For values of z above 349, use 09999 for the area Common Critical Valu -0.0 so00 AB80 ABO1 A761 A681 Confidence | Critical Vale Level 090 Use these common values that resut from interpolation: NOTE For values of below-3.49 use 0.0001 for the area "Use these common values that result from interpolation score Area 1645 0.9500 1645 2.575 095 196 I score Are -L645 0.0500 0.9950 099 2575 -2575 0.005o
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Click to view page 1 of the table. Click to view page 2 of the table
125
The area of the shaded region is . (Round to four decimal places as needed.)
Transcribed Image Text:Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table 125 The area of the shaded region is . (Round to four decimal places as needed.)
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