Trait  μ  σ Participant’s Score Adventure Seeking 7.34 2.29 6.50 Experience Seeking 4.72 1.75 5.75 Disinhibition 6.45 2.33 4.25 Boredom Susceptibility 3.64 1.05 6.13   What is the percentile rank of the participant’s Adventure Seeking trait? What percentage of the participants with the Disinhibition trait score higher than the participant? Between what two scores on Boredom Susceptibility did the middle 95% of the participants lie? What percent of the participants had scores between X = 2 and X = 8 on Adventure Seeking trait? Use the table of the images

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

Trait

 μ  σ

Participant’s Score

Adventure Seeking

7.34

2.29

6.50

Experience Seeking

4.72

1.75

5.75

Disinhibition

6.45

2.33

4.25

Boredom Susceptibility

3.64

1.05

6.13

 

What is the percentile rank of the participant’s Adventure Seeking trait?

  1. What percentage of the participants with the Disinhibition trait score higher than the participant?
  2. Between what two scores on Boredom Susceptibility did the middle 95% of the participants lie?
  3. What percent of the participants had scores between X = 2 and X = 8 on Adventure Seeking trait?

Use the table of the images

 

 

 

726
APPENDIX B STATISTICAL TABLES
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
Proportion
Proportion
Proportion
Proportion
Proportion
Proportion
in Body
in Tail
Between Mean and z
in Body
in Tail
Between Mean and z
.3413
.3438
0.50
.6915
.3085
.1915
1.00
.8413
.1587
0.51
.6950
.3050
.1950
1.01
.8438
.1562
0.52
.6985
.3015
.1985
1.02
.8461
.1539
.3461
0.53
.7019
.2981
.2019
1.03
.8485
.1515
.3485
0.54
.7054
.2946
.2054
1.04
.8508
.1492
.3508
0.55
.7088
.2912
.2088
1.05
.8531
.1469
.3531
0.56
.7123
.2877
.2123
1.06
.8554
.1446
.3554
0.57
7157
.2843
.2157
1.07
.8577
.1423
.3577
0.58
.7190
.2810
.2190
1.08
.8599
.1401
.3599
0.59
.7224
.2776
.2224
1.09
.8621
.1379
.3621
0.60
.7257
.2743
.2257
1.10
.8643
.1357
.3643
0.61
.7291
.2709
.2291
1.11
.8665
.1335
.3665
0.62
.7324
.2676
.2324
1.12
.8686
.1314
.3686
0.63
.7357
.2643
.2357
1.13
.8708
.1292
.3708
0.64
.7389
.2611
.2389
1.14
.8729
.1271
.3729
0.65
.7422
.2578
.2422
1.15
.8749
.1251
.3749
0.66
.7454
.2546
.2454
1.16
.8770
.1230
.3770
.1210
1190
0.67
.7486
.2514
.2486
1.17
.8790
.3790
0.68
.7517
.2483
.2517
1.18
.8810
.3810
0.69
.7549
.2451
.2549
1.19
.8830
.1170
.3830
0.70
.7580
.2420
.2580
1.20
.8849
1151
.3849
0.71
.7611
.2389
.2611
1.21
.8869
.1131
.3869
0.72
.7642
.2358
.2642
1.22
.8888
.1112
.3888
0.73
.7673
.2327
.2673
1.23
.8907
.1093
.3907
0.74
.7704
.2296
.2704
1.24
.8925
.1075
.3925
0.75
.7734
.2266
.2734
1.25
.8944
.1056
.3944
.1038
.1020
0.76
.7764
.2236
.2764
1.26
.8962
.3962
0.77
.7794
.2206
.2794
1.27
.8980
.3980
0.78
.7823
.2177
.2823
1.28
.8997
.1003
.3997
0.79
.7852
.2148
.2852
1.29
.9015
.0985
.4015
0.80
.7881
.2119
.2881
1.30
9032
.0968
.4032
0.81
.7910
.2090
.2910
1.31
9049
.0951
.4049
0.82
.7939
.2061
.2939
1.32
.9066
.0934
.4066
0.83
.7967
.2033
.2967
1.33
9082
.0918
.4082
0.84
.7995
.2005
.2995
1.34
.9099
.0901
.4099
0.85
.8023
.1977
.3023
1.35
9115
.0885
.4115
0.86
.8051
.1949
.3051
1.36
9131
.0869
.4131
0.87
.8078
.1922
.3078
1.37
9147
.0853
.4147
0.88
.8106
.1894
.3106
1.38
.9162
.0838
.4162
0.89
.8133
.1867
.3133
1.39
9177
.0823
.4177
0.90
.8159
.1841
.3159
1.40
.9192
.0808
.4192
0.91
.8186
.1814
.3186
1.41
9207
.0793
.4207
0.92
.8212
.1788
.3212
1.42
9222
.0778
.4222
0.93
.8238
.1762
.3238
1.43
9236
.0764
.4236
0.94
.8264
.1736
.3264
1.44
9251
.0749
.4251
.1711
.1685
0.95
.8289
.3289
1.45
9265
.0735
.4265
0.96
.8315
.3315
1.46
.9279
.0721
.4279
0.97
.8340
.1660
.3340
1.47
9292
.0708
.4292
.4306
.4319
0.98
.8365
.1635
.3365
1.48
.9306
.0694
0.99
.8389
.1611
.3389
1.49
9319
.0681
Transcribed Image Text:726 APPENDIX B STATISTICAL TABLES (A) (B) (C) (D) (A) (B) (C) (D) Proportion Proportion Proportion Proportion Proportion Proportion in Body in Tail Between Mean and z in Body in Tail Between Mean and z .3413 .3438 0.50 .6915 .3085 .1915 1.00 .8413 .1587 0.51 .6950 .3050 .1950 1.01 .8438 .1562 0.52 .6985 .3015 .1985 1.02 .8461 .1539 .3461 0.53 .7019 .2981 .2019 1.03 .8485 .1515 .3485 0.54 .7054 .2946 .2054 1.04 .8508 .1492 .3508 0.55 .7088 .2912 .2088 1.05 .8531 .1469 .3531 0.56 .7123 .2877 .2123 1.06 .8554 .1446 .3554 0.57 7157 .2843 .2157 1.07 .8577 .1423 .3577 0.58 .7190 .2810 .2190 1.08 .8599 .1401 .3599 0.59 .7224 .2776 .2224 1.09 .8621 .1379 .3621 0.60 .7257 .2743 .2257 1.10 .8643 .1357 .3643 0.61 .7291 .2709 .2291 1.11 .8665 .1335 .3665 0.62 .7324 .2676 .2324 1.12 .8686 .1314 .3686 0.63 .7357 .2643 .2357 1.13 .8708 .1292 .3708 0.64 .7389 .2611 .2389 1.14 .8729 .1271 .3729 0.65 .7422 .2578 .2422 1.15 .8749 .1251 .3749 0.66 .7454 .2546 .2454 1.16 .8770 .1230 .3770 .1210 1190 0.67 .7486 .2514 .2486 1.17 .8790 .3790 0.68 .7517 .2483 .2517 1.18 .8810 .3810 0.69 .7549 .2451 .2549 1.19 .8830 .1170 .3830 0.70 .7580 .2420 .2580 1.20 .8849 1151 .3849 0.71 .7611 .2389 .2611 1.21 .8869 .1131 .3869 0.72 .7642 .2358 .2642 1.22 .8888 .1112 .3888 0.73 .7673 .2327 .2673 1.23 .8907 .1093 .3907 0.74 .7704 .2296 .2704 1.24 .8925 .1075 .3925 0.75 .7734 .2266 .2734 1.25 .8944 .1056 .3944 .1038 .1020 0.76 .7764 .2236 .2764 1.26 .8962 .3962 0.77 .7794 .2206 .2794 1.27 .8980 .3980 0.78 .7823 .2177 .2823 1.28 .8997 .1003 .3997 0.79 .7852 .2148 .2852 1.29 .9015 .0985 .4015 0.80 .7881 .2119 .2881 1.30 9032 .0968 .4032 0.81 .7910 .2090 .2910 1.31 9049 .0951 .4049 0.82 .7939 .2061 .2939 1.32 .9066 .0934 .4066 0.83 .7967 .2033 .2967 1.33 9082 .0918 .4082 0.84 .7995 .2005 .2995 1.34 .9099 .0901 .4099 0.85 .8023 .1977 .3023 1.35 9115 .0885 .4115 0.86 .8051 .1949 .3051 1.36 9131 .0869 .4131 0.87 .8078 .1922 .3078 1.37 9147 .0853 .4147 0.88 .8106 .1894 .3106 1.38 .9162 .0838 .4162 0.89 .8133 .1867 .3133 1.39 9177 .0823 .4177 0.90 .8159 .1841 .3159 1.40 .9192 .0808 .4192 0.91 .8186 .1814 .3186 1.41 9207 .0793 .4207 0.92 .8212 .1788 .3212 1.42 9222 .0778 .4222 0.93 .8238 .1762 .3238 1.43 9236 .0764 .4236 0.94 .8264 .1736 .3264 1.44 9251 .0749 .4251 .1711 .1685 0.95 .8289 .3289 1.45 9265 .0735 .4265 0.96 .8315 .3315 1.46 .9279 .0721 .4279 0.97 .8340 .1660 .3340 1.47 9292 .0708 .4292 .4306 .4319 0.98 .8365 .1635 .3365 1.48 .9306 .0694 0.99 .8389 .1611 .3389 1.49 9319 .0681
APPENDIX B Statistical Tables
TABLE B.1
THE UNIT NORMAL TABLE*
*Column A lists z-score values. A vertical line drawn through a normal distribution at a z-score location divides the
distribution into two sections.
Column B identifies the proportion in the larger section, called the body.
Column C identifies the proportion in the smaller section, called the tail.
Column D identifies the proportion between the mean and the z-score.
Note:
Because the normal distribution is symmetrical, the proportions for negative z-scores are the same as those for
positive z-scores.
Body
Body
B
B
D
Tail
Tail
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
Proportion
in Body
Proportion
Proportion
Proportion
Proportion
Proportion
in Body
in Tail
Between Mean and z
in Tail
Between Mean and z
0.00
.5000
.5000
.0000
0.25
.5987
.4013
.0987
0.01
.5040
.4960
.0040
0.26
.6026
3974
.1026
0.02
.5080
.4920
.0080
0.27
.6064
3936
.1064
0.03
.5120
4880
.0120
0.28
.6103
3897
.1103
0.04
.5160
4840
.0160
0.29
.6141
3859
.1141
0.05
.5199
4801
.0199
0.30
.6179
3821
1179
0.06
.5239
.4761
.0239
0.31
.6217
3783
.1217
0.07
.5279
.4721
.0279
0.32
.6255
3745
.1255
0.08
.5319
4681
.0319
0.33
.6293
3707
.1293
0.09
.5359
4641
.0359
0.34
.6331
3669
.1331
0.10
.5398
.4602
.0398
0.35
.6368
3632
.1368
0.11
.5438
4562
.0438
0.36
.6406
3594
.1406
0.12
.5478
4522
.0478
0.37
.6443
3557
1443
0.13
.5517
4483
.0517
0.38
.6480
3520
.1480
0.14
.5557
4443
.0557
0.39
.6517
3483
.1517
0.15
.5596
4404
.0596
0.40
.6554
3446
.1554
0.16
.5636
4364
.0636
0.41
.6591
3409
.1591
0.17
.5675
4325
.0675
0.42
.6628
3372
.1628
0.18
.5714
4286
.0714
0.43
.6664
3336
.1664
0.19
.5753
.4247
.0753
0.44
.6700
3300
.1700
0.20
.5793
4207
.0793
0.45
.6736
3264
.1736
0.21
.5832
4168
.0832
0.46
.6772
3228
.1772
0.22
.5871
.4129
.0871
0.47
.6808
3192
.1808
0.23
.5910
4090
.0910
0.48
.6844
3156
.1844
0.24
.5948
.4052
.0948
0.49
.6879
3121
.1879
725
Transcribed Image Text:APPENDIX B Statistical Tables TABLE B.1 THE UNIT NORMAL TABLE* *Column A lists z-score values. A vertical line drawn through a normal distribution at a z-score location divides the distribution into two sections. Column B identifies the proportion in the larger section, called the body. Column C identifies the proportion in the smaller section, called the tail. Column D identifies the proportion between the mean and the z-score. Note: Because the normal distribution is symmetrical, the proportions for negative z-scores are the same as those for positive z-scores. Body Body B B D Tail Tail (A) (B) (C) (D) (A) (B) (C) (D) Proportion in Body Proportion Proportion Proportion Proportion Proportion in Body in Tail Between Mean and z in Tail Between Mean and z 0.00 .5000 .5000 .0000 0.25 .5987 .4013 .0987 0.01 .5040 .4960 .0040 0.26 .6026 3974 .1026 0.02 .5080 .4920 .0080 0.27 .6064 3936 .1064 0.03 .5120 4880 .0120 0.28 .6103 3897 .1103 0.04 .5160 4840 .0160 0.29 .6141 3859 .1141 0.05 .5199 4801 .0199 0.30 .6179 3821 1179 0.06 .5239 .4761 .0239 0.31 .6217 3783 .1217 0.07 .5279 .4721 .0279 0.32 .6255 3745 .1255 0.08 .5319 4681 .0319 0.33 .6293 3707 .1293 0.09 .5359 4641 .0359 0.34 .6331 3669 .1331 0.10 .5398 .4602 .0398 0.35 .6368 3632 .1368 0.11 .5438 4562 .0438 0.36 .6406 3594 .1406 0.12 .5478 4522 .0478 0.37 .6443 3557 1443 0.13 .5517 4483 .0517 0.38 .6480 3520 .1480 0.14 .5557 4443 .0557 0.39 .6517 3483 .1517 0.15 .5596 4404 .0596 0.40 .6554 3446 .1554 0.16 .5636 4364 .0636 0.41 .6591 3409 .1591 0.17 .5675 4325 .0675 0.42 .6628 3372 .1628 0.18 .5714 4286 .0714 0.43 .6664 3336 .1664 0.19 .5753 .4247 .0753 0.44 .6700 3300 .1700 0.20 .5793 4207 .0793 0.45 .6736 3264 .1736 0.21 .5832 4168 .0832 0.46 .6772 3228 .1772 0.22 .5871 .4129 .0871 0.47 .6808 3192 .1808 0.23 .5910 4090 .0910 0.48 .6844 3156 .1844 0.24 .5948 .4052 .0948 0.49 .6879 3121 .1879 725
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