Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution. Click the icon to view a table of areas under the normal curve. The Z-scores are (Use a comma to separate answers as needed. Round to two 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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TABLE V
Standard Normal Distribution
00
.01
.02
.03
.04
.05
5
.06
.07
.08
.09
Area
-3.4
-33
-3.2
0.0003 0.0003 0.0003
0.0005 0.0005
0.0007
0.0003
0.0005 0.0004
0.0003
0.0004 0.0004 0.0004 0.0004 0.0004
0.0003
0.0003 0.0003
0.0003 0.0002
0.0003
0.0005
0.0007
-3.1
-3.0
0.0010 0.0009
0.0013
0.0013
0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005
0.0009
0.0013
0.0009
0.0012
0.0008
0.0012
0.0008
0.0008
0.0011
0.0008 0.0007
00011
0.0007
0.0010 0.0010
0.0011
0,0015
-2.9
-28
-2.7
0.0019
0.0018
0.0025
0.0018
0.0024
0.0017
0.0023
0.0016
0.0023
0.0031
0.0041
0.0055
0.0016 0.0015
0.0022
0.0021
0.0014
0.0014
0.0019
0.0020
0.0021
0.0028
0.0038
0.0052 0.0051
0.0026
0.0035
0,0034
0.0045
0.0062 0.0060
0.0033
0.0030
0.0040
0.0054
0.0032
0.0029
0.0027
0.0026
-2.6
0.0047
0.0044
0.0059
0.0043
0.0039
0.0037
0.0049
0.0036
0.0048
-2.5
0,0057
-2.4
-2.3
-2.2
0.0080
0.0107 0.0104
0.0139 0.0136
0.0071
0.0094
0.0082
0.0078 0.0075
0.0102 0.0099
0.0129
0.0073
0.0096
0.0069 0.0068
0.0091
0.0122 0.0119
0.0066 0.0064
0.0087
0.0084
0.0089
0.0116
0.0132
0.0125
0.0162 0.0158
0.0202
0.0113
00179
0.0228
0.0110
0.0146 0.0143
0.0188 0.0183
-2.1
0.0174
0.0170 0.0166
0.0154
0.0197
0.0150
-2.0
0.0222
0.0217 0.0212
0.0207
0.0192
0.0244 0.0239
0.0307
0.0301
0.0233
-1.9
-1.8
0.0287
0,0281
0.0274
0.0344
0.0427
0.0526
0.0268
0.0336
0.0262 0.0256 0.0250
0.0314
0.0359 0.0351
0.0329 0.0322
0.0294
-1.7
-1.6
-1.5
0.0436
0.0548 0.0537
0.0668
0.0418
0.0516 0.0505 0.0495
0.0409 0.0401 0.0392
0.0485
0.0384
0.0475
0.0582
0.0375
0.0465
0.0367
0.0455
0.0446
0.0655
0.0643
0.0630
0.0618 0.0606 0.0594
0.0571
0.0559
0.0808
0.0968
0.0778
0.0934
0.0764
0.0918
0.1112 0.1093 0.1075 0.1056
0.0735
0.0901 0.0885
-14
0.0708
0.0793
0.0951
0.1151 0.1131
0.1335
0.1562
0.0749
0.0721
0.0694
0.0681
-1.3
-1.2
-11
0.0869 0.0853
0.0838
0.0823
0.1038
0.1020
0.1003 0.0985
0.1314 0.1292 0.1271 0.1251
0.1230 0.1210
0.1190 0.1170
0.1379
0,1357
-10
0.1587
0.1539 0.1515 0.1492 0.1469 0.1446 0.1423
0.1401
0.1611
0.1867
0.2177 0.2148
0.2451
-0.9
-08
0.1841
0.1788 0.1762 0.1736 0.1711
0.2033
0.2358 0.2327 0.2296
0.2643
0.1814
0.2119 0.2090
0.2420
0.1685 0.1660
0.1949 0.1922
0.1635
0.1894
0.2061
0.2005 0.1977
-0.7
-0.6
0.2389
0.2266
0.2236 0.2206
0.2578 0.2546 0.2514
0.2877
0.2743
0.2611
0.2946
0.2709
0.2676
0.2483
-0.5
0.3085
0.3050
0.3015
0.2981
0.2912
0.2843
0.2810 0.2776
0.3372
0.3745
0.3446
-0.3 0.3821
0.4207
0.4602
0.3409
0.3783
0.4168
0.4562
-0.4
0.3336
0.3707
0.3300
0.3669
0.4052
0.4443
0.3264
0.3632
0.4013
0.4404
0.3228 03192
0.3594 0.3557 0.3520
0.3974
0.3156
03121
0.3483
04129
0.4522
0.4090
0.4483
0.3936
0.3897
0.4286
0.4681
05319
0.5675 05714
-0.2
-0.1
0.3859
0.4247
0.4325
04721
0.5279
04364
0,4880
0.5120
0.5438 0.5478 0.5517
0.5832 0.5871 0.5910
0.6255 0.6293
0.6664
0.4840
0.5160
0.5557
04641
0.5359
0.5753
-0.0
0.5000
0.5000
0.4960
0.4920
0.4801
0.4761
0.5239
0.5040
0.5080
0.5199
0.0
0.1
0.5398
0.5596
0.5636
0.2
0.3
0.4
0.5793
0.6179
0.6554
0.5948 0.5987
0.6331 0.6368
0.6700
0.6026
0.6406
0.6772
0.6103 0.6141
0.6443 0.6480 0.6517
0.6844
0.6064
0,6217
0,6591
0.6628
0.6736
0.6808
0.6879
0.6950
0.7291
0.7611
0,6985
0.7324
0.7642
0.7939 0.7967 0.7995
0.8212 0.8238 0.8264
0.5
0.6
0,6915
0.7257
0.7580
0.7054
0.7389
0.7088
0.7422
0.7734
0,7123
0.7454
0.7764
0.8023 0.8051
0.7157 0.7190
0.7486 0.7517
0.7794
0.7019
0.7357
0.7224
0.7549
0.7
0.7673
0.7704
0.7823
0.8078 0.8106
0.7852
0.8133
0.8389
0.7881
0.8
0.9
0.8051
0.8315
0.7910
0.8159 0.8186
0.8289
0.8340
0.8365
0.8413 0.8438
08665
0.8869
0.8531
0.8749
0.8944
0.9115
0.9265
0.8554
0.8770
0.8962
0.8461
0.8485
0.8686 0.8708
0.808
0.8729
0.8925
0.8577
0.8621
0.8790 0.8810 0.8830
0.9015
0.9162 0.9177
0.9306
0.8599
1.0
1.1
1.2
0.8643
0.8849
0.8888
0.8907
0.8980 0.8997
1.3
14
0.9032 0.9049
0.9192
0.9207
0.9066
0.9222
0.9082
0.9099
0.9251
0.9131
0.9279
0.9147
0.9236
0.9292
0.9319
1.5
1.6
0.9332 0.9345
0.9452
0.9463
0.9554
0.9564
0.9357 0.9370 0.9382
0.9474
0.9573
0.9656
0.9394
0.9505
0.9599
0.9671 0.9678
0.9406
0.9515
0.9608
0.9418
0.9525 0.9535
0.9616 0.9625
0.9693
0.9429 0.9441
0.9545
0.9633
0.9706
0.9484
0.9495
1.7
1.8
0.9582
0.9664
0.9591
0.9641
0.9649
0.9686
0.9699
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756 0.9761
0.9767
2.0
2.1
0.9772
0.9821
0.9861
2.3 0.9893 0.9896
0.9918
0.9793
0.9838
0.9875
0.9778
0.9826
0.9783
0.9830
0.9788
0.9834
0.9871
0.9798
0.9842
0.9878
0.9803
0.9846
0.9881
0.9808
0.9850 0.9854
0.9887
0.9812 0.9817
0.9857
0.9890
2.2
0.9864
0.9868
0.9884
0.9898
0.9922
0.9901
0.9925
0.9904
0.9906
0.9929
0.9909
0.9931 0.9932 0.9934
0.9911 0.9913 0.9916
0.9936
24
0.9920
0.9927
0.9949 0.9951
0.9962
0.9972 0.9973
0.9979 0.9980
0.9985 0.9985 0.9986
2.5
26
0,9945 0.9946
0.9959
0.9960
0.9969
0.9952
0.9964
0.9938
0.9940
0.9941
0.9955
0.9956
0.9966 0.9967
0.9943
0.9957
0.9968
0.9948
0.9953
0.9965
0.9961
0.9970 0.9971
0.9979
0.9963
2.7
0.9974
0.9974
0.9981
0.9976
2.8
29
0.9975
0.9977
0.9977
0.9982 0.9983 0.9984 0.9984
0.9978
0.9981
0.9986
0.9982
3.0
3.1
0.9987 0.9987
0.9990 0.9991
0.9993
0.9987
0.9991
0.9994
0.9988
0.9991
0.9994
0.9988 0.9989
0.9992
0.9994
0.9989
0.9992 0.9992
0.9994
0.9990
0.9993
0.9995
0.9990
0.9993
0.9995
0.9989
0.9992
3.2
33
34
0.9993
0.9995 0.9995
0.9997
0.9994
0.9995
0.9995
0.9997
0.9996
0.9997
0.9996
0.9997
0.9997
0.9998
0.9996
0.9996 0.9996
0.9997
0.9997
0.9996
0.9997
0.9997 0,9997
00
.01
.02
.03
.04
.05
.06
07
.08
.09
Transcribed Image Text:TABLE V Standard Normal Distribution 00 .01 .02 .03 .04 .05 5 .06 .07 .08 .09 Area -3.4 -33 -3.2 0.0003 0.0003 0.0003 0.0005 0.0005 0.0007 0.0003 0.0005 0.0004 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0003 0.0003 0.0003 0.0002 0.0003 0.0005 0.0007 -3.1 -3.0 0.0010 0.0009 0.0013 0.0013 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0008 0.0011 0.0008 0.0007 00011 0.0007 0.0010 0.0010 0.0011 0,0015 -2.9 -28 -2.7 0.0019 0.0018 0.0025 0.0018 0.0024 0.0017 0.0023 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0015 0.0022 0.0021 0.0014 0.0014 0.0019 0.0020 0.0021 0.0028 0.0038 0.0052 0.0051 0.0026 0.0035 0,0034 0.0045 0.0062 0.0060 0.0033 0.0030 0.0040 0.0054 0.0032 0.0029 0.0027 0.0026 -2.6 0.0047 0.0044 0.0059 0.0043 0.0039 0.0037 0.0049 0.0036 0.0048 -2.5 0,0057 -2.4 -2.3 -2.2 0.0080 0.0107 0.0104 0.0139 0.0136 0.0071 0.0094 0.0082 0.0078 0.0075 0.0102 0.0099 0.0129 0.0073 0.0096 0.0069 0.0068 0.0091 0.0122 0.0119 0.0066 0.0064 0.0087 0.0084 0.0089 0.0116 0.0132 0.0125 0.0162 0.0158 0.0202 0.0113 00179 0.0228 0.0110 0.0146 0.0143 0.0188 0.0183 -2.1 0.0174 0.0170 0.0166 0.0154 0.0197 0.0150 -2.0 0.0222 0.0217 0.0212 0.0207 0.0192 0.0244 0.0239 0.0307 0.0301 0.0233 -1.9 -1.8 0.0287 0,0281 0.0274 0.0344 0.0427 0.0526 0.0268 0.0336 0.0262 0.0256 0.0250 0.0314 0.0359 0.0351 0.0329 0.0322 0.0294 -1.7 -1.6 -1.5 0.0436 0.0548 0.0537 0.0668 0.0418 0.0516 0.0505 0.0495 0.0409 0.0401 0.0392 0.0485 0.0384 0.0475 0.0582 0.0375 0.0465 0.0367 0.0455 0.0446 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0571 0.0559 0.0808 0.0968 0.0778 0.0934 0.0764 0.0918 0.1112 0.1093 0.1075 0.1056 0.0735 0.0901 0.0885 -14 0.0708 0.0793 0.0951 0.1151 0.1131 0.1335 0.1562 0.0749 0.0721 0.0694 0.0681 -1.3 -1.2 -11 0.0869 0.0853 0.0838 0.0823 0.1038 0.1020 0.1003 0.0985 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.1379 0,1357 -10 0.1587 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1611 0.1867 0.2177 0.2148 0.2451 -0.9 -08 0.1841 0.1788 0.1762 0.1736 0.1711 0.2033 0.2358 0.2327 0.2296 0.2643 0.1814 0.2119 0.2090 0.2420 0.1685 0.1660 0.1949 0.1922 0.1635 0.1894 0.2061 0.2005 0.1977 -0.7 -0.6 0.2389 0.2266 0.2236 0.2206 0.2578 0.2546 0.2514 0.2877 0.2743 0.2611 0.2946 0.2709 0.2676 0.2483 -0.5 0.3085 0.3050 0.3015 0.2981 0.2912 0.2843 0.2810 0.2776 0.3372 0.3745 0.3446 -0.3 0.3821 0.4207 0.4602 0.3409 0.3783 0.4168 0.4562 -0.4 0.3336 0.3707 0.3300 0.3669 0.4052 0.4443 0.3264 0.3632 0.4013 0.4404 0.3228 03192 0.3594 0.3557 0.3520 0.3974 0.3156 03121 0.3483 04129 0.4522 0.4090 0.4483 0.3936 0.3897 0.4286 0.4681 05319 0.5675 05714 -0.2 -0.1 0.3859 0.4247 0.4325 04721 0.5279 04364 0,4880 0.5120 0.5438 0.5478 0.5517 0.5832 0.5871 0.5910 0.6255 0.6293 0.6664 0.4840 0.5160 0.5557 04641 0.5359 0.5753 -0.0 0.5000 0.5000 0.4960 0.4920 0.4801 0.4761 0.5239 0.5040 0.5080 0.5199 0.0 0.1 0.5398 0.5596 0.5636 0.2 0.3 0.4 0.5793 0.6179 0.6554 0.5948 0.5987 0.6331 0.6368 0.6700 0.6026 0.6406 0.6772 0.6103 0.6141 0.6443 0.6480 0.6517 0.6844 0.6064 0,6217 0,6591 0.6628 0.6736 0.6808 0.6879 0.6950 0.7291 0.7611 0,6985 0.7324 0.7642 0.7939 0.7967 0.7995 0.8212 0.8238 0.8264 0.5 0.6 0,6915 0.7257 0.7580 0.7054 0.7389 0.7088 0.7422 0.7734 0,7123 0.7454 0.7764 0.8023 0.8051 0.7157 0.7190 0.7486 0.7517 0.7794 0.7019 0.7357 0.7224 0.7549 0.7 0.7673 0.7704 0.7823 0.8078 0.8106 0.7852 0.8133 0.8389 0.7881 0.8 0.9 0.8051 0.8315 0.7910 0.8159 0.8186 0.8289 0.8340 0.8365 0.8413 0.8438 08665 0.8869 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.8461 0.8485 0.8686 0.8708 0.808 0.8729 0.8925 0.8577 0.8621 0.8790 0.8810 0.8830 0.9015 0.9162 0.9177 0.9306 0.8599 1.0 1.1 1.2 0.8643 0.8849 0.8888 0.8907 0.8980 0.8997 1.3 14 0.9032 0.9049 0.9192 0.9207 0.9066 0.9222 0.9082 0.9099 0.9251 0.9131 0.9279 0.9147 0.9236 0.9292 0.9319 1.5 1.6 0.9332 0.9345 0.9452 0.9463 0.9554 0.9564 0.9357 0.9370 0.9382 0.9474 0.9573 0.9656 0.9394 0.9505 0.9599 0.9671 0.9678 0.9406 0.9515 0.9608 0.9418 0.9525 0.9535 0.9616 0.9625 0.9693 0.9429 0.9441 0.9545 0.9633 0.9706 0.9484 0.9495 1.7 1.8 0.9582 0.9664 0.9591 0.9641 0.9649 0.9686 0.9699 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 2.1 0.9772 0.9821 0.9861 2.3 0.9893 0.9896 0.9918 0.9793 0.9838 0.9875 0.9778 0.9826 0.9783 0.9830 0.9788 0.9834 0.9871 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9854 0.9887 0.9812 0.9817 0.9857 0.9890 2.2 0.9864 0.9868 0.9884 0.9898 0.9922 0.9901 0.9925 0.9904 0.9906 0.9929 0.9909 0.9931 0.9932 0.9934 0.9911 0.9913 0.9916 0.9936 24 0.9920 0.9927 0.9949 0.9951 0.9962 0.9972 0.9973 0.9979 0.9980 0.9985 0.9985 0.9986 2.5 26 0,9945 0.9946 0.9959 0.9960 0.9969 0.9952 0.9964 0.9938 0.9940 0.9941 0.9955 0.9956 0.9966 0.9967 0.9943 0.9957 0.9968 0.9948 0.9953 0.9965 0.9961 0.9970 0.9971 0.9979 0.9963 2.7 0.9974 0.9974 0.9981 0.9976 2.8 29 0.9975 0.9977 0.9977 0.9982 0.9983 0.9984 0.9984 0.9978 0.9981 0.9986 0.9982 3.0 3.1 0.9987 0.9987 0.9990 0.9991 0.9993 0.9987 0.9991 0.9994 0.9988 0.9991 0.9994 0.9988 0.9989 0.9992 0.9994 0.9989 0.9992 0.9992 0.9994 0.9990 0.9993 0.9995 0.9990 0.9993 0.9995 0.9989 0.9992 3.2 33 34 0.9993 0.9995 0.9995 0.9997 0.9994 0.9995 0.9995 0.9997 0.9996 0.9997 0.9996 0.9997 0.9997 0.9998 0.9996 0.9996 0.9996 0.9997 0.9997 0.9996 0.9997 0.9997 0,9997 00 .01 .02 .03 .04 .05 .06 07 .08 .09
Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution.
Click the icon to view a table of areas under the normal curve.
The Z-scores are
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Transcribed Image Text:Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution. Click the icon to view a table of areas under the normal curve. The Z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)
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