For a standard normal random variable Z, use Table 4 of the Appendix to find a number zo such thata) P(Z ≤ zo ) = 0.5b) P(Z ≤ zo ) = 0.8749c) P(Z ≥ zo ) = 0.117 Appendix Tables771Table 4Critical Values of tDegrees ofFreedomto.050to.025to.010to.005to.10012.70631.82163.6573.0786.3144.3036.6959.9251.8862.9202.33.1824.5415.8411.6382.3532.1322.7763.7474.6041.5334.2.0152.5713.3654.0321.4765.3.1433.7071.4401.9432.447663.3551.4151.8952.3652.9987.9682.8211.3971.8602.3068.3.2501.3831.8332.262693.1061.3721.8122.2282.7642.718961.782111.3632.201121.3562.1792.6813.055131.3501.7712.6503.012141.3451.7612.1452.6242.977151.3411.7532.1312.6022.9471.3371.7462.1202.5832.921171.3331.7402.1102.5672.898181.3301.7342.1012.5522.8781.3281.7292.0932.5392.8611.3251.7252.0862.5282.84520211.3231.7212.0802.5182.831221.3211.7172.0742.5082.819231.3191.7146902.0642.5002.807241.3181.7112.4922.797251.3161.708092.0562.4852.7871.3152.4792.779271.3141.70315 902.0522.4732.771281.3131.7012.0482.4672.7631.3116691.6452.0452.4622.7561.2822.3262.576Source: From M. Merrington, "Table of Percentage Points of the t-Distribution." Biometrika, 32, 1941. p. 300, Reproduced by permission of the Biometrika096Trustees,

Let Z be the standard normally distributed random variable with mean 0 and standard deviation 1.

Answered: For a standard normal random variable…

For a standard normal random variable Z, use Table 4 of the Appendix to find a number zo such that a) P(Z ≤ zo ) = 0.5 b) P(Z ≤ zo ) = 0.8749 c) P(Z ≥ zo ) = 0.117

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

For a standard normal random variable Z, use Table 4 of the Appendix to find a number z_o such that

a) P(Z ≤ z_o ) = 0.5

b) P(Z ≤ z_o ) = 0.8749

c) P(Z ≥ z_o ) = 0.117

Appendix Tables
771
Table 4
Critical Values of t
Degrees of
Freedom
to.050
to.025
to.010
to.005
to.100
12.706
31.821
63.657
3.078
6.314
4.303
6.695
9.925
1.886
2.920
2.
3
3.182
4.541
5.841
1.638
2.353
2.132
2.776
3.747
4.604
1.533
4.
2.015
2.571
3.365
4.032
1.476
5.
3.143
3.707
1.440
1.943
2.447
66
3.355
1.415
1.895
2.365
2.998
7.
968
2.821
1.397
1.860
2.306
8.
3.250
1.383
1.833
2.262
69
3.106
1.372
1.812
2.228
2.764
2.718
96
1.782
11
1.363
2.201
12
1.356
2.179
2.681
3.055
13
1.350
1.771
2.650
3.012
14
1.345
1.761
2.145
2.624
2.977
15
1.341
1.753
2.131
2.602
2.947
1.337
1.746
2.120
2.583
2.921
17
1.333
1.740
2.110
2.567
2.898
18
1.330
1.734
2.101
2.552
2.878
1.328
1.729
2.093
2.539
2.861
1.325
1.725
2.086
2.528
2.845
20
21
1.323
1.721
2.080
2.518
2.831
22
1.321
1.717
2.074
2.508
2.819
23
1.319
1.714
690
2.064
2.500
2.807
24
1.318
1.711
2.492
2.797
25
1.316
1.708
09
2.056
2.485
2.787
1.315
2.479
2.779
27
1.314
1.703
15 90
2.052
2.473
2.771
28
1.313
1.701
2.048
2.467
2.763
1.311
669
1.645
2.045
2.462
2.756
1.282
2.326
2.576
Source: From M. Merrington, "Table of Percentage Points of the t-Distribution." Biometrika, 32, 1941. p. 300, Reproduced by permission of the Biometrika
096
Trustees,

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