Use a Standard normal distribution table to find the percent of the total under the standard normal curve between the following Z scores. Z equals 0.5 and z equals 1.2 The percent of the total area between Z equals 0.55 and see equal 1.2 is % (Round to the nearest integer)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Use a Standard normal distribution table to find the percent of the total under the standard normal curve between the following Z scores. Z equals 0.5 and z equals 1.2 The percent of the total area between Z equals 0.55 and see equal 1.2 is % (Round to the nearest integer)
Section 14.4- The Normal Distribution
The normal distribution (normal curve) is a way to study data using the information you
.ave learned about. A normal distribution is a bell shaped curve that is symmetric with
respect to the mean. A normal distribution usually applies to a whole population, not a
sample, therefore the mean is now called u (mu).)
34%
34%
1158
15-6
2.35%
-30
-20
-10
-35D -25D ISD
13.5%
m
68%
95%
99.7%
13.5%
+1o
SD
+20
2.35%
+30
SD
Transcribed Image Text:Section 14.4- The Normal Distribution The normal distribution (normal curve) is a way to study data using the information you .ave learned about. A normal distribution is a bell shaped curve that is symmetric with respect to the mean. A normal distribution usually applies to a whole population, not a sample, therefore the mean is now called u (mu).) 34% 34% 1158 15-6 2.35% -30 -20 -10 -35D -25D ISD 13.5% m 68% 95% 99.7% 13.5% +1o SD +20 2.35% +30 SD
z - Score Table
0.07
0.08
2
0.05
0.06
0
0.01
0.02
0.04
0.03
53188
52790
52392
+0
51994
50000 50399
50798
51595
51197
57142
56749
+0.1
56360
53983
55966
.54380
.54776
55567
55172
61026
.60642
+0.2
57926
60257
59871
58317
.58706
59483
59095
64431
.64803
+0.3
61791
64058
63683
.62172
.62552
63307
62930
.68082
68439
+0.4
.67724
.65542 .65910
.67364
.66276
.66640
.67003
.71566
.71904
+0.5
.71226
69146 69497
.69847
.70884
.70194
.70540
74857
.75175
+0.6
.72575
.74537
.72907 .73237
.74215
.73565
.73891
.78230
+0.7
.77935
.75804 .76115
.77637
.76424
.76730
.77337
.77035
+0.8
81057
80785
80511
.78814 .79103
.79389
.79673
.79955
80234
83646
+0.9
83398
81594 .81859
82121
83147
.82381
82639
82894
+1
85769
85543
85993
.84134
84849
85314
85083
88100
+1.1
.86433 .86650
.84375 .84614
.86864 .87076
.88877 .89065 .89251
87900
87286
87493
87698
+1.2
88493
89973
.88686
89435
89617
89796
+1.3
90320
91621
.90490
90658
.90824 90988
91149 91308
.91466
+1.4
91924
.92073
93056
92220
.92364 92507
92647
.92785
.92922
+1.5
.93319
.93448
.93574
93822
.93699
.93943
.94062
.94179
94295
+1.6
94520
94630
.94738
.94950
95053
95154
95254
95352
+1.7 .95543
96164 .96246
+1.8
95637 95728
96407 .96485
97128 .97193
94845
95818 .95907
96638 .96712
.97320 97381
97932
.95994 .96080
.96784 .96856 .96926 .96995
96562
+1.9
97257
.97441 .97500 97558
.97615
+2
97725
.97778
97831
97882
97982
.98030
98077
.98124
+2.1
98214 98257 .98300
98341
98382
.98422
.98461
98500 .98537
+2.2
98713
.98745
98778
98809
98840
98870
+2.3
98679
98983 .99010
.99245
99036
.99061
98610 98645
98928 .98956
.99180
.99379 .99396
.99086
99111
.99134
+2.4
99266
99286
.99305
99324
99343
+2.5
.99446
.99461 .99477 .99492
.99413 99430
.99573
99506
+2.6
99585
99598
99609
99621
99632
+2.7
.99653 .99664
.99534 .99547 99560
.99674
.99752 .99760
.99683
99693
99702
99711
.99720
99728
+2.8
99744
99767 .99774
99781
99788
99795
99801
+2.9
.99813
99819
.99825
.99831 .99836
.99841 .99846
99851
99856
+3
99865
.99869
99874 99878
99882
99886
99889
.99893
99896
+3.1 .99903
.99906
99916
99918
99921
.99924
99926
+3.2 .99931
.99940 .99942
99944
99946
99948
+3.3
99960 .99961
.99962
99964
+3.4
99973
99974
99975
+3.5
99910 .99913
99934
99936 99938
99952 .99953 .99955 .99957 99958
.99966 99968 99969 .99970 .99971 99972
.99977 .99978 .99978 .99979 .99980 .99981
.99984 99985 .99985 99986 99986 .99987
99989 99990 99990
.99991
+3.8
99993 .99993
+3.9 .99995 99995
+4
99981
99982 99983
+3.6
99987
99988
99988
+3.7
99992
.99990 .99991
.99993 .99994 99994
.99992 99992
99994
99994
99995 99995
.99996 .99996 99996
99996
99996 99996
99997
99997 .99997 99997 99997
99997
99997
99998
99998
99998
.99202 99224
0.09
53586
57535
61409
.65173
.68793
.72240
.75490
.78524
81327
83891
86214
.88298)
90147
91774
93189
.94408
95449
.96327
97062
.97670
.98169
98574
98899
.99158
.99361
.99520
99643
99736
99807
.99861
.99900
99929
99950
99965
99976
99983
99989
99992
99995
99997
99998
Transcribed Image Text:z - Score Table 0.07 0.08 2 0.05 0.06 0 0.01 0.02 0.04 0.03 53188 52790 52392 +0 51994 50000 50399 50798 51595 51197 57142 56749 +0.1 56360 53983 55966 .54380 .54776 55567 55172 61026 .60642 +0.2 57926 60257 59871 58317 .58706 59483 59095 64431 .64803 +0.3 61791 64058 63683 .62172 .62552 63307 62930 .68082 68439 +0.4 .67724 .65542 .65910 .67364 .66276 .66640 .67003 .71566 .71904 +0.5 .71226 69146 69497 .69847 .70884 .70194 .70540 74857 .75175 +0.6 .72575 .74537 .72907 .73237 .74215 .73565 .73891 .78230 +0.7 .77935 .75804 .76115 .77637 .76424 .76730 .77337 .77035 +0.8 81057 80785 80511 .78814 .79103 .79389 .79673 .79955 80234 83646 +0.9 83398 81594 .81859 82121 83147 .82381 82639 82894 +1 85769 85543 85993 .84134 84849 85314 85083 88100 +1.1 .86433 .86650 .84375 .84614 .86864 .87076 .88877 .89065 .89251 87900 87286 87493 87698 +1.2 88493 89973 .88686 89435 89617 89796 +1.3 90320 91621 .90490 90658 .90824 90988 91149 91308 .91466 +1.4 91924 .92073 93056 92220 .92364 92507 92647 .92785 .92922 +1.5 .93319 .93448 .93574 93822 .93699 .93943 .94062 .94179 94295 +1.6 94520 94630 .94738 .94950 95053 95154 95254 95352 +1.7 .95543 96164 .96246 +1.8 95637 95728 96407 .96485 97128 .97193 94845 95818 .95907 96638 .96712 .97320 97381 97932 .95994 .96080 .96784 .96856 .96926 .96995 96562 +1.9 97257 .97441 .97500 97558 .97615 +2 97725 .97778 97831 97882 97982 .98030 98077 .98124 +2.1 98214 98257 .98300 98341 98382 .98422 .98461 98500 .98537 +2.2 98713 .98745 98778 98809 98840 98870 +2.3 98679 98983 .99010 .99245 99036 .99061 98610 98645 98928 .98956 .99180 .99379 .99396 .99086 99111 .99134 +2.4 99266 99286 .99305 99324 99343 +2.5 .99446 .99461 .99477 .99492 .99413 99430 .99573 99506 +2.6 99585 99598 99609 99621 99632 +2.7 .99653 .99664 .99534 .99547 99560 .99674 .99752 .99760 .99683 99693 99702 99711 .99720 99728 +2.8 99744 99767 .99774 99781 99788 99795 99801 +2.9 .99813 99819 .99825 .99831 .99836 .99841 .99846 99851 99856 +3 99865 .99869 99874 99878 99882 99886 99889 .99893 99896 +3.1 .99903 .99906 99916 99918 99921 .99924 99926 +3.2 .99931 .99940 .99942 99944 99946 99948 +3.3 99960 .99961 .99962 99964 +3.4 99973 99974 99975 +3.5 99910 .99913 99934 99936 99938 99952 .99953 .99955 .99957 99958 .99966 99968 99969 .99970 .99971 99972 .99977 .99978 .99978 .99979 .99980 .99981 .99984 99985 .99985 99986 99986 .99987 99989 99990 99990 .99991 +3.8 99993 .99993 +3.9 .99995 99995 +4 99981 99982 99983 +3.6 99987 99988 99988 +3.7 99992 .99990 .99991 .99993 .99994 99994 .99992 99992 99994 99994 99995 99995 .99996 .99996 99996 99996 99996 99996 99997 99997 .99997 99997 99997 99997 99997 99998 99998 99998 .99202 99224 0.09 53586 57535 61409 .65173 .68793 .72240 .75490 .78524 81327 83891 86214 .88298) 90147 91774 93189 .94408 95449 .96327 97062 .97670 .98169 98574 98899 .99158 .99361 .99520 99643 99736 99807 .99861 .99900 99929 99950 99965 99976 99983 99989 99992 99995 99997 99998
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