Given it mean, standard deviation, and a raw score, find the corresponding Z score. Assume the distribution is normal. Mean 60, standard deviation 4 X equals 70 What is the corresponding Z score?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Given it mean, standard deviation, and a raw score, find the corresponding Z score. Assume the distribution is normal. Mean 60, standard deviation 4 X equals 70 What is the corresponding Z score?
O
mem
Z
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+1.1
+1.2
+1.3
+1.4
+1.5
+1.6
+1.7
+1.8
+1.9
+2
+2.1
+2.2
+2.3
+2.4
+2.5
+2.6
+2.7
+2.8
+2.9
+3
+3.1
+3.2
+3.3
+3.4
99968
99966
+3.5 .99977 99978
+3.6
99985
99984
99989 99990
+3.7
+3.8
99993
99993
+3.9
99995 99995
+4
99997
99997
z-Score Table
0.08
0.07
0.06
0.05
0.04
0.03
53188
52790
52392
51994
51595
51197
57142
.55966
56360
56749
55567
61026
60642
.60257
59871
59483
64803
64431
.64058
63683
63307
.68439
68082
67724
.67003
.67364
.71566
.71226
.71904
.70884
.70540
.75175
.74857
.74537
.74215
.73891
.77935
77637
.78230
.77337
.77035
81057
80785
.79955
80511
80234
83147
.83646
83398
82894
82639
85769
85993
.85543
85083
85314
87900
88100
.87698
87286
87493
89435
89796
89617
89251
89973
91149
90988
91308
91621
91466
92507
92647
92785
92922
93056
93822
94062
93943
94295
94179
94950
95053
95154
95254
95352
95907
.96080
.95994
96164
96246
.96784
96712
96856
96926
.96995
97381
97441
.97500
97558
97615
97932
97982
98030
98077
98124
98382
98422
98461
98500
98537
98778
98745
98809
98840
98870
99134
99111
99086
99061
.99036
99324
.99305
99286
99266
99245
99343
99477
99461
99492
99506
99446
99585
99702
99693
99621
99632
99609
99598
.99711
99795
99788
99720
99728
99781
99774
.99841
99801
.99836
99851
.99846
.99856
99882
99886
99889
99893
99896
.99916
99913
99918
99921
99924
99926
99938
99942
.99940
.99958
99957
99944
99946
99948
99961
99960
.99962
99964
.99971
99972
99973
99974
99975
99980
99981
99981
99982
99983
99986
99987
99987
99988 99988
99990 .99991
99991
99992
99992
99992
99994
99994
99994
99995
99996
99996
99995
99996
99996
.99996
99997
99997
99997 99997
99998
99998
99998
0.01
0.02
0
50000
50399
50798
53983
54380
54776
.55172
57926
58317 58706
59095
61791
62172
62552
62930
.65542 .65910
66276
66640
69146
69497
69847
.70194
.72907
.72575
.73237
.73565
.75804
76424
.76730
.76115
.79389
.79103
.78814
.79673
81594
81859
82121
82381
84134
84375
84614 84849
86433
86650
86864 87076
88493
88686
88877
89065
90320
90490
90658
90824
91924
92073
92220
92364
93319
93448
93574
93699
94630
94520
94738
94845
95543 95637
95728
95818
96407
96638
96562
96485
97128
97193
97257
97320
97725
97778
97831
97882
98214
98257
98341
98300
98610
98645
98713
98679
98928
.98956
.99010
98983
99180
99202
99224
.99379
.99396
99413
99430
99573
.99560
99534
99547
.99653
99664
99674
99683
99744 99752
99760
99767
.99813
99819
99825
99831
99865 99869
99878
99874
99903
99906
.99910
99931
99934
99936
99952 99953 .99955
.99969 99970
99978
.99979
99985 99986
99990
99993 99994
99996
99997
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:O mem Z +0 +0.1 +0.2 +0.3 +0.4 +0.5 +0.6 +0.7 +0.8 +0.9 +1 +1.1 +1.2 +1.3 +1.4 +1.5 +1.6 +1.7 +1.8 +1.9 +2 +2.1 +2.2 +2.3 +2.4 +2.5 +2.6 +2.7 +2.8 +2.9 +3 +3.1 +3.2 +3.3 +3.4 99968 99966 +3.5 .99977 99978 +3.6 99985 99984 99989 99990 +3.7 +3.8 99993 99993 +3.9 99995 99995 +4 99997 99997 z-Score Table 0.08 0.07 0.06 0.05 0.04 0.03 53188 52790 52392 51994 51595 51197 57142 .55966 56360 56749 55567 61026 60642 .60257 59871 59483 64803 64431 .64058 63683 63307 .68439 68082 67724 .67003 .67364 .71566 .71226 .71904 .70884 .70540 .75175 .74857 .74537 .74215 .73891 .77935 77637 .78230 .77337 .77035 81057 80785 .79955 80511 80234 83147 .83646 83398 82894 82639 85769 85993 .85543 85083 85314 87900 88100 .87698 87286 87493 89435 89796 89617 89251 89973 91149 90988 91308 91621 91466 92507 92647 92785 92922 93056 93822 94062 93943 94295 94179 94950 95053 95154 95254 95352 95907 .96080 .95994 96164 96246 .96784 96712 96856 96926 .96995 97381 97441 .97500 97558 97615 97932 97982 98030 98077 98124 98382 98422 98461 98500 98537 98778 98745 98809 98840 98870 99134 99111 99086 99061 .99036 99324 .99305 99286 99266 99245 99343 99477 99461 99492 99506 99446 99585 99702 99693 99621 99632 99609 99598 .99711 99795 99788 99720 99728 99781 99774 .99841 99801 .99836 99851 .99846 .99856 99882 99886 99889 99893 99896 .99916 99913 99918 99921 99924 99926 99938 99942 .99940 .99958 99957 99944 99946 99948 99961 99960 .99962 99964 .99971 99972 99973 99974 99975 99980 99981 99981 99982 99983 99986 99987 99987 99988 99988 99990 .99991 99991 99992 99992 99992 99994 99994 99994 99995 99996 99996 99995 99996 99996 .99996 99997 99997 99997 99997 99998 99998 99998 0.01 0.02 0 50000 50399 50798 53983 54380 54776 .55172 57926 58317 58706 59095 61791 62172 62552 62930 .65542 .65910 66276 66640 69146 69497 69847 .70194 .72907 .72575 .73237 .73565 .75804 76424 .76730 .76115 .79389 .79103 .78814 .79673 81594 81859 82121 82381 84134 84375 84614 84849 86433 86650 86864 87076 88493 88686 88877 89065 90320 90490 90658 90824 91924 92073 92220 92364 93319 93448 93574 93699 94630 94520 94738 94845 95543 95637 95728 95818 96407 96638 96562 96485 97128 97193 97257 97320 97725 97778 97831 97882 98214 98257 98341 98300 98610 98645 98713 98679 98928 .98956 .99010 98983 99180 99202 99224 .99379 .99396 99413 99430 99573 .99560 99534 99547 .99653 99664 99674 99683 99744 99752 99760 99767 .99813 99819 99825 99831 99865 99869 99878 99874 99903 99906 .99910 99931 99934 99936 99952 99953 .99955 .99969 99970 99978 .99979 99985 99986 99990 99993 99994 99996 99997 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
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%
158
2.35%
-30
-20
-10
-35D -25D ISD
13.5%
μ
M
68%
95%
99.7%
13.5%
+10
SD
916 16dw
+20
2.35%
+30
SD
F5
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% 158 2.35% -30 -20 -10 -35D -25D ISD 13.5% μ M 68% 95% 99.7% 13.5% +10 SD 916 16dw +20 2.35% +30 SD F5
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman