Siven a random sample of size 26 from a normal distribution, find k such that a) P(-2.060
Siven a random sample of size 26 from a normal distribution, find k such that a) P(-2.060
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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Transcribed Image Text:Critical Values of the t-Distribution (Page 2)
U
Critical Values of the t-Distribution
P
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2
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26
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0.02
15.894
4.849
3.482
2.999
2.757
2.612
2.517
2.449
2.398
2.359
2.328
2.303
2.282
2.264
2.249
2.235
2.224
2.214
2.205
2.197
2.189
2.183
2.177
2.172
2.167
2.162
2.158
2.154
2.150
2.147
2.1922
0.015
0.01
21.205 31.821
6.965
5.643
3.896
3.298
3.003
2.829
3.143
2.715 2.998
2.634
2.896
2.574
2.821
2.527
2.764
2.718
2.681
2.650
2.624
2.602
2.491
2.461
2.436
2.415
2.397
2.382
2.368
2.356
2.346
2.336
2.328
2.320
2.313
2.307
2.301
4.541
3.747
3.365
2.296
2.291
2.286
2.282
2.278
2.250
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.122
a
0.0075
42.433
8.073
5.047
4.088
3.634
3.372
3.203
3.085
2.998
2.932
2.879
2.836
2.801
2.771
2.746
2.724
2.706
2.689
2.674
2.661
2.649
2.639
2.629
2.620
2.612
2.605
2.598
2.592
2.586
2.581
22.19
0.005
63.656
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106.
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.301
0.0025
127.321
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.067
3,957
3.17
3.038
3.030
2.071
0.0005
636.578
31.600
12.924
8.610
6.869
5,959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.689
3.674
3.660
3,646
2.55.1
Transcribed Image Text:Given a random sample of size 26 from a normal distribution, find k such that
(a)
P(-2.060<T<k)=0.965.
(b) Find P(k <T<3.078)=0.0475.
(c) Find P(-k<T<k)=0.80.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
(a) k= (Round to three decimal places as needed.)
T
1
2
3
4
5
6
7
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19
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26
27
0.40
0.325
0.289
0.277
0.271
0.267
0.265
0.263
0.262
0.261
0.260
0.260
0.259
0.259
0.258
0.258
0.258
0.257
0.257
0.257
0.257
0.257
0.256
0.256
0.256
0.256
0.256
0.256
0.30
0.727
0.617
0.584
0.569
0.559
0.553
0.549
0.546
0.543
0.542
0.540
0.539
0.538
0.537
0.536
0.535
0.534
0.534
0.533
0.533
0.532
0.532
0.532
0.531
0.531
0.531
0.531
0.20
1.376
1.061
0.978
0.941
0.920
0.906
0.896
0.889
0.883
0.879
0.876
0.873
0.870
0.868
0.866
0.865
0.863
0.862
0.861
0.860
0.859
0.858
0.858
0.857
0.856
0.856
0.855
a
0.15
1.963
1.386
1.250
1.190
1.156
1.134
1.119
1.108
1.100
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.063
1.061
1.060
1.059
1.058
1.058
1.057
0.10
3.078
1.886
1.638
1.533
1.476
1.440
1.943
1.415
1.896
1.397- 1.860
1.833
1.812
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
0.05
6.314
2.920
2.353
2.132
2.015
1.315
1.314
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
0.025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
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