Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table.LOADING...Click to view page 2 of the table.LOADING... z0.9761 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded and is labeled 0.9761.The indicated z score is ?(Round to two decimal places as needed.) Standard Normal (z) Distribution: Cumulative Area from the LEFT.00.01.0203.04.05.06.0708.090.0.5000.5040.5080.5120.5160.5199.5239.5279.5319.53590.1.5398,54385478.5517.5557.5596.5636,5675.5714.57530.2.5793.58325871.5910.5948.5987.6026.6064.6103.61410.3.61796217.6255.6293.6331.6368.6406.64436480.65170.4.6554.6591.6628.6664.6700.6736.6772.6808.6844.68790.5.6915.695069857019.7054.7088.71237157.7190.72240.6.7257.729173247357.73897422.74547486751775490.7.75807611.7642.7673.7704.7734.7764.77947823.78520.8.78817910793979677995.8023.80518078.8106.81330.9.8159.81868212.8238.8264.8289.8315.8340.8365.83891.0.8413843884618485.8508.8531.8554,8577.8599.86211.1.864386658686.8708.8729.8749.8770.8790,8810.88301.2.8849.88698888.8907.8925.8944.8962.8980.8997.90151.3.9032.9049.9066.9082.9099.9115.9131.9147.9162.91771.4.9192.9207.9222.9236.9251.9265.9279.9292.9306.93191.5.9332.9345.9357.9370.9382.9394.9406.9418.9429.94411.6.945294639474,9484.9495 •.9505.9515.9525,9535.95451.7.9554.9564.9573.9582.9591.9599.9608.9616.9625.96331.8.9641.9649.9656.9664.9671.9678.96869693.9699.97061.9.9713.9719.9726.9732.9738.9744.9750.9756.9761.97672.0.9772.9778.9783.9788.9793.9798.9803.9808.9812.98172.1.9821.9826.9830.9834.9838.9842.9846.9850.9854.98572.2.9861.9864.98689871.9875.9878.9881.9884.9887.98902.3.9893.9896.9898.9901.9904.9906.9909.9911.9913.99162.4.9918.9920.9922.9925.9927.9929.9931.9932.9934.99362.5.9938.9940.9941.9943.9945.9946.9948.9949.9951.99522.6.9953.9955.9956.9957.9959.9960.9961.9962.9963.99642.7.9965.9966.9967.9968.9969.9970.9971.99729973.99742.8.9974.9975.9976.9977.9977.9978.9979.9979.9980.99812.99981.9982,9982.9983.9984.9984.99859985.9986.99863.0.9987.9987.99879988.9988.9989.9989.9989.9990.99903.1.9990.9991.9991.9991.9992.9992.99929992.9993.99933.2.9993.9993.9994.9994.9994.9994.9994.9995.9995.99953.3.99959995,9995,999699969996,9996,99969996.99973.49997.9997.9997.9997.9997.9997.9997.9997,9997.99983.50.9999and up NEGATIVE z ScoresNEGATI VEI.Standard Normal (z) Distribution: Cumulative Area from the LEFT.00.0102.03.04.05.06.07.08.09-3.50andlower.0001-3.4.0003.0003.00030003.0003.0003.0003£000.0002-3.3.0005.0005.0005.00040004.0004.0004.0004.0004.0003-3.2.0007.0007.0006.0006.0006.0006.0006.0005.0005.0005-3.1.00100009.0009.0009.0008.0008.0008.0008.0007.0007-3.0.O013.0013.0013.0012.0012.o011.001.001.0010.0010-2.9.0019.O018.0018.0017.O016.0016.0015.0015.0014.0014-2.8.0026.0025.0024.0023.0023.0022.0021.0021.0020.0019-2.7.0035.0034.0033.0032.0031.0030.0029.0028.0027.0026-2.6.0047.0045.0044.0043.0041.0040.0039.0038.0037.0036-2.5.0062.0060.0059.0057.0055.0054.0052.0051.0049.0048-2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064-2.3.01070104.0102.0099.0096.0094.0091.0089.0087.0084-2.2.0139.0136.0132.0129.0125.01220119.01160113.0110-2.1.0179.0174.0170.01660162.01580154.01500146.0143-2.0.0228.0222.0217.0212.0207.02020197.0192.0188.0183-1.9.0287.0281.0274.0268.0262.0256.0250.0244.0239.0233-1.8.0359.0351.0344.03360329.0322.0314.0307.0301.0294-1.7.04460436.0427.0418.0409.0401.0392.0384.0375.0367-1.6.0548.0537.0526.05160505* .0495.0485.0475.0465.0455-1.5.06680655.0643.06300618.0606.0594.0582.0571.0559-1.4.0808.0793.0778.0764.0749.0735.0721.0708.0694.0681-1.3.09680951.0934.0918.0901.0885.0869.0853.0838.0823-1.27151113111210931075.1056103810201003.0985-1.113571335131412921271125112301210311901170-1.0.1587.1562153915151492.14691446.14231401.1379-0.91841181417881762173617111685166036351611-0.82119209020612033200519771949192218941867-0.72420238923582327229622662236.220621772148-0.62743270926762643261125782546251424832451-0.5.30853050.301529812946291228.28432810776-0.43446340933723336330032643228319231563121-0.338213783.37453707366936323594.355735203483-0.24207416841294090405240133974.393638973859-0.1.46024562452244834443.44044364.432542864247-0.0.50004960492048804840.48014761.472146814641

Solution: Let z be the standard normal variable with mean μ=0 and standard deviation σ=1.…

Answered: Find the indicated z score. The graph…

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

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

Click to view page 1 of the table.

Click to view page 2 of the table.

0.9761

A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded and is labeled 0.9761.

The indicated z score is ?

(Round to two decimal places as needed.)

Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
.02
03
.04
.05
.06
.07
08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
0.1
.5398
,5438
5478
.5517
.5557
.5596
.5636
,5675
.5714
.5753
0.2
.5793
.5832
5871
.5910
.5948
.5987
.6026
.6064
.6103
.6141
0.3
.6179
6217
.6255
.6293
.6331
.6368
.6406
.6443
6480
.6517
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
0.5
.6915
.6950
6985
7019
.7054
.7088
.7123
7157
.7190
.7224
0.6
.7257
.7291
7324
7357
.7389
7422
.7454
7486
7517
7549
0.7
.7580
7611
.7642
.7673
.7704
.7734
.7764
.7794
7823
.7852
0.8
.7881
7910
7939
7967
7995
.8023
.8051
8078
.8106
.8133
0.9
.8159
.8186
8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
1.0
.8413
8438
8461
8485
.8508
.8531
.8554
,8577
.8599
.8621
1.1
.8643
8665
8686
.8708
.8729
.8749
.8770
.8790
,8810
.8830
1.2
.8849
.8869
8888
.8907
.8925
.8944
.8962
.8980
.8997
.9015
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
1.4
.9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
1.6
.9452
9463
9474
,9484
.9495 •
.9505
.9515
.9525
,9535
.9545
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
1.8
.9641
.9649
.9656
.9664
.9671
.9678
.9686
9693
.9699
.9706
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
.9772
.9778
.9783
.9788
.9793
.9798
.9803
.9808
.9812
.9817
2.1
.9821
.9826
.9830
.9834
.9838
.9842
.9846
.9850
.9854
.9857
2.2
.9861
.9864
.9868
9871
.9875
.9878
.9881
.9884
.9887
.9890
2.3
.9893
.9896
.9898
.9901
.9904
.9906
.9909
.9911
.9913
.9916
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
2.5
.9938
.9940
.9941
.9943
.9945
.9946
.9948
.9949
.9951
.9952
2.6
.9953
.9955
.9956
.9957
.9959
.9960
.9961
.9962
.9963
.9964
2.7
.9965
.9966
.9967
.9968
.9969
.9970
.9971
.9972
9973
.9974
2.8
.9974
.9975
.9976
.9977
.9977
.9978
.9979
.9979
.9980
.9981
2.9
9981
.9982
,9982
.9983
.9984
.9984
.9985
9985
.9986
.9986
3.0
.9987
.9987
.9987
9988
.9988
.9989
.9989
.9989
.9990
.9990
3.1
.9990
.9991
.9991
.9991
.9992
.9992
.9992
9992
.9993
.9993
3.2
.9993
.9993
.9994
.9994
.9994
.9994
.9994
.9995
.9995
.9995
3.3
.9995
9995
,9995
,9996
9996
9996
,9996
,9996
9996
.9997
3.4
9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
,9997
.9998
3.50
.9999
and up

NEGATIVE z Scores
NEGATI VE
I.
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
02
.03
.04
.05
.06
.07
.08
.09
-3.50
and
lower
.0001
-3.4
.0003
.0003
.0003
0003
.0003
.0003
.0003
£000
.0002
-3.3
.0005
.0005
.0005
.0004
0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
.0007
.0006
.0006
.0006
.0006
.0006
.0005
.0005
.0005
-3.1
.0010
0009
.0009
.0009
.0008
.0008
.0008
.0008
.0007
.0007
-3.0
.O013
.0013
.0013
.0012
.0012
.o011
.001
.001
.0010
.0010
-2.9
.0019
.O018
.0018
.0017
.O016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
-2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
.0037
.0036
-2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
.0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
.0136
.0132
.0129
.0125
.0122
0119
.0116
0113
.0110
-2.1
.0179
.0174
.0170
.0166
0162
.0158
0154
.0150
0146
.0143
-2.0
.0228
.0222
.0217
.0212
.0207
.0202
0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
.0239
.0233
-1.8
.0359
.0351
.0344
.0336
0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.0526
.0516
0505
* .0495
.0485
.0475
.0465
.0455
-1.5
.0668
0655
.0643
.0630
0618
.0606
.0594
.0582
.0571
.0559
-1.4
.0808
.0793
.0778
.0764
.0749
.0735
.0721
.0708
.0694
.0681
-1.3
.0968
0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
-1.2
7151
1131
112
1093
1075
.1056
1038
1020
1003
.0985
-1.1
1357
1335
1314
1292
1271
1251
1230
1210
31190
1170
-1.0
.1587
.1562
1539
1515
1492
.1469
1446
.1423
1401
.1379
-0.9
1841
1814
1788
1762
1736
1711
1685
1660
3635
1611
-0.8
2119
2090
2061
2033
2005
1977
1949
1922
1894
1867
-0.7
2420
2389
2358
2327
2296
2266
2236
.2206
2177
2148
-0.6
2743
2709
2676
2643
2611
2578
2546
2514
2483
2451
-0.5
.3085
3050
.3015
2981
2946
2912
28
.2843
2810
776
-0.4
3446
3409
3372
3336
3300
3264
3228
3192
3156
3121
-0.3
3821
3783
.3745
3707
3669
3632
3594
.3557
3520
3483
-0.2
4207
4168
4129
4090
4052
4013
3974
.3936
3897
3859
-0.1
.4602
4562
4522
4483
4443
.4404
4364
.4325
4286
4247
-0.0
.5000
4960
4920
4880
4840
.4801
4761
.4721
4681
4641

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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