Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.15 with 8 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.20 with 27 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.02 with 13 degrees of freedom. [Hint: Use symme (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 98% confidence. Assume 16 degrees of freedom. (Round to three decimal places as needed.)

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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4

Determine the t-value in each of the cases.
Click the icon to view the table of areas under the t-distribution.
(a) Find the t-value such that the area in the right tail is 0.15 with 8 degrees of freedom.
(Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.20 with 27 degrees of freedom.
(Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.02 with 13 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 98% confidence. Assume 16 degrees of freedom.
(Round to three decimal places as needed.)
Transcribed Image Text:Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.15 with 8 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.20 with 27 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.02 with 13 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 98% confidence. Assume 16 degrees of freedom. (Round to three decimal places as needed.)
-Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
6.314
127.321
14.089
7.453
5.598
1
1.376
1.963
1.386
1.250
1.190
3.078
12.706
15.894
31.821
6.965
4.541
63.657
9.925
5.841
1.000
318.309
636.619
2.920
2.353
2.132
31.599
0.816
3
0.765
4
0.741
2
1.061
0.978
0.941
0.920
1.886
1.638
1.533
4.303
3.182
2.776
4.849
3.482
2.999
22.327
10.215
12.924
7.173
5.893
3.747
4.604
8.610
0.727
1.156
1.476
2.015
2.571
2.757
3.365
4.032
4.773
6.869
1.134
2.612
2.517
2.449
2.398
2.359
5.959
5.408
0.718
0.906
0.896
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
2.447
3.143
2.998
3.707
3.499
3.355
3.250
4.317
5.208
2.365
2.306
2.262
2.228
4.785
4.501
4.297
7
0.711
1.119
4.029
0.706
0.703
0.889
0.883
0.879
1.108
1.100
2.896
2.821
2.764
3.833
3.690
3.581
5.041
4.781
1.833
10
0.700
1.093
1.812
3.169
4.144
4.587
1.796
4.025
3.930
11
0.697
0.695
0.694
0.692
0.876
0.873
0.870
0.868
1.088
1.083
1.079
1.363
1.356
1.350
1.345
1.341
2.201
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
3.106
3.055
3.012
3.497
4.437
1.782
1.771
1.761
3.428
3.372
2.179
12
13
4.318
3.852
3.787
3.733
2.160
4.221
2.977
2.947
2.145
14
15
1.076
2.624
3.326
4.140
0.691
0.866
1.074
1.753
2.131
2.602
3.286
4.073
16
0.690
0.865
1.071
1.337
1.333
1.746
2.120
2.235
2.583
2.567
2.921
3.252
3.222
3.686
3.646
4.015
3.965
17
0.689
0.863
1.069
1.740
2.110
2.224
2.898
Transcribed Image Text:-Area in right tail Table VI t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 6.314 127.321 14.089 7.453 5.598 1 1.376 1.963 1.386 1.250 1.190 3.078 12.706 15.894 31.821 6.965 4.541 63.657 9.925 5.841 1.000 318.309 636.619 2.920 2.353 2.132 31.599 0.816 3 0.765 4 0.741 2 1.061 0.978 0.941 0.920 1.886 1.638 1.533 4.303 3.182 2.776 4.849 3.482 2.999 22.327 10.215 12.924 7.173 5.893 3.747 4.604 8.610 0.727 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 6.869 1.134 2.612 2.517 2.449 2.398 2.359 5.959 5.408 0.718 0.906 0.896 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 2.447 3.143 2.998 3.707 3.499 3.355 3.250 4.317 5.208 2.365 2.306 2.262 2.228 4.785 4.501 4.297 7 0.711 1.119 4.029 0.706 0.703 0.889 0.883 0.879 1.108 1.100 2.896 2.821 2.764 3.833 3.690 3.581 5.041 4.781 1.833 10 0.700 1.093 1.812 3.169 4.144 4.587 1.796 4.025 3.930 11 0.697 0.695 0.694 0.692 0.876 0.873 0.870 0.868 1.088 1.083 1.079 1.363 1.356 1.350 1.345 1.341 2.201 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 3.106 3.055 3.012 3.497 4.437 1.782 1.771 1.761 3.428 3.372 2.179 12 13 4.318 3.852 3.787 3.733 2.160 4.221 2.977 2.947 2.145 14 15 1.076 2.624 3.326 4.140 0.691 0.866 1.074 1.753 2.131 2.602 3.286 4.073 16 0.690 0.865 1.071 1.337 1.333 1.746 2.120 2.235 2.583 2.567 2.921 3.252 3.222 3.686 3.646 4.015 3.965 17 0.689 0.863 1.069 1.740 2.110 2.224 2.898
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