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 70What is the corresponding Z score? OmemZ+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+3.49996899966+3.5 .99977 99978+3.6999859998499989 99990+3.7+3.89999399993+3.999995 99995+49999799997z-Score Table0.080.070.060.050.040.0353188527905239251994515955119757142.559665636056749555676102660642.6025759871594836480364431.640586368363307.684396808267724.67003.67364.71566.71226.71904.70884.70540.75175.74857.74537.74215.73891.7793577637.78230.77337.770358105780785.79955805118023483147.836468339882894826398576985993.8554385083853148790088100.8769887286874938943589796896178925189973911499098891308916219146692507926479278592922930569382294062939439429594179949509505395154952549535295907.96080.959949616496246.96784967129685696926.969959738197441.97500975589761597932979829803098077981249838298422984619850098537987789874598809988409887099134991119908699061.9903699324.9930599286992669924599343994779946199492995069944699585997029969399621996329960999598.99711997959978899720997289978199774.9984199801.9983699851.99846.998569988299886998899989399896.9991699913999189992199924999269993899942.99940.99958999579994499946999489996199960.9996299964.9997199972999739997499975999809998199981999829998399986999879998799988 9998899990 .9999199991999929999299992999949999499994999959999699996999959999699996.99996999979999799997 999979999899998999980.010.020500005039950798539835438054776.551725792658317 587065909561791621726255262930.65542 .659106627666640691466949769847.70194.72907.72575.73237.73565.7580476424.76730.76115.79389.79103.78814.7967381594818598212182381841348437584614 84849864338665086864 87076884938868688877890659032090490906589082491924920739222092364933199344893574936999463094520947389484595543 956379572895818964079663896562964859712897193972579732097725977789783197882982149825798341983009861098645987139867998928.98956.9901098983991809920299224.99379.99396994139943099573.995609953499547.9965399664996749968399744 997529976099767.9981399819998259983199865 9986999878998749990399906.9991099931999349993699952 99953 .99955.99969 9997099978.9997999985 999869999099993 9999499996999970.0953586.57535.61409.65173.68793.72240.75490.78524813278389186214882989014791774.931899440895449963279706297670981699857498899.991589936199520996439973699807998619990099929999509996599976999839998999992999959999799998 Section 14.4- The Normal DistributionThe normal distribution (normal curve) is a way to study data using the information youave learned about. A normal distribution is a bell shaped curve that is symmetric withrespect to the mean. A normal distribution usually applies to a whole population, not asample, therefore the mean is now called u (mu).34%34%1582.35%-30-20-10-35D -25D ISD13.5%μM68%95%99.7%13.5%+10SD916 16dw+202.35%+30SDF5

Given,mean(μ)=60standard deviation(σ)=4raw score(x)=70

Answered: Given it mean, standard deviation, and…

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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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

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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