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 0.05 with 25 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 12 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 0.005 with 10 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 50% confidence. Assume 17 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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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
636.619
31.599
1
1.376
1.963
3.078
6.314
2.920
2.353
12.706
15.894
4.849
3.482
2.999
31.821
63.657
127.321
318.309
22.327
10.215
1.000
0.816
3
0.765
4
0.741
1.886
1.638
1.533
1.476
4.303
3.182
2.776
9.925
5.841
4.604
1.061
0.978
1.386
1.250
1.190
6.965
4.541
3.747
3.365
14.089
7.453
5.598
4.773
12.924
8.610
0.941
2.132
7.173
5
0.727
0.920
1.156
2.015
2.571
2.757
4.032
5.893
6.869
2.447
2.365
2.306
2.262
2.228
4.317
4.029
3.833
3.690
6
0.718
0.906
1.134
1.440
1.943
2.612
3.143
3.707
3.499
3.355
3.250
5.208
4.785
4.501
4.297
5.959
7
0.711
0.896
1.119
1.415 1.895
5.408
2.517
2.449
2.398
2.998
0.889
0.883
2.896
2.821
8
0.706
0.703
0.700
1.108
1.100
1.093
1.397 1.860
1.383
1.833
1.812
1.372
5.041
4.781
10
0.879
2.359
2.764
3.169
3.581
4.144
4.587
0.697
1.796
2.201
3.497
3.428
3.372
3.326
4.025
3.930
3.852
3.787
3.733
11
0.876
1.088
1.083
1.363
1.356
2.328
2.718
3.106
3.055
3.012
2.977
2.947
4.437
0.873
0.870
2.303
2.681
2.650
2.624
2.602
12
0.695
0.694
0.692
1.782
1.771
2.179
4.318
13
14
1.079
1.076
1.350
1.345
1.341
2.160
2.145
2.131
2.282
4.221
0.868
1.761
2.264
4.140
15
0.691
0.866
1.074
1.753
2.249
3.286
4.073
1.337
1.333
1.330
1.328
1.325
3.252
3.222
3.197
3.174
3.153
0.690
1.746
2.120
2.921
4.015
3.965
3.922
3.883
3.850
16
0.689
0.688
0.688
0.687
0.865
0.863
0.862
1.071
1.069
1.067
2.235
2.224
2.583
2.567
2.552
2.898
2.878
2.861
2.845
3.686
3.646
3.610
3.579
3.552
17
1.740
2.110
18
1.734
1.729
2.101
2.214
2.539
2.528
19
0.861
1.066
2.093
2.205
20
0.860
1.064
1.725
2.086
2.197
Transcribed Image Text: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 636.619 31.599 1 1.376 1.963 3.078 6.314 2.920 2.353 12.706 15.894 4.849 3.482 2.999 31.821 63.657 127.321 318.309 22.327 10.215 1.000 0.816 3 0.765 4 0.741 1.886 1.638 1.533 1.476 4.303 3.182 2.776 9.925 5.841 4.604 1.061 0.978 1.386 1.250 1.190 6.965 4.541 3.747 3.365 14.089 7.453 5.598 4.773 12.924 8.610 0.941 2.132 7.173 5 0.727 0.920 1.156 2.015 2.571 2.757 4.032 5.893 6.869 2.447 2.365 2.306 2.262 2.228 4.317 4.029 3.833 3.690 6 0.718 0.906 1.134 1.440 1.943 2.612 3.143 3.707 3.499 3.355 3.250 5.208 4.785 4.501 4.297 5.959 7 0.711 0.896 1.119 1.415 1.895 5.408 2.517 2.449 2.398 2.998 0.889 0.883 2.896 2.821 8 0.706 0.703 0.700 1.108 1.100 1.093 1.397 1.860 1.383 1.833 1.812 1.372 5.041 4.781 10 0.879 2.359 2.764 3.169 3.581 4.144 4.587 0.697 1.796 2.201 3.497 3.428 3.372 3.326 4.025 3.930 3.852 3.787 3.733 11 0.876 1.088 1.083 1.363 1.356 2.328 2.718 3.106 3.055 3.012 2.977 2.947 4.437 0.873 0.870 2.303 2.681 2.650 2.624 2.602 12 0.695 0.694 0.692 1.782 1.771 2.179 4.318 13 14 1.079 1.076 1.350 1.345 1.341 2.160 2.145 2.131 2.282 4.221 0.868 1.761 2.264 4.140 15 0.691 0.866 1.074 1.753 2.249 3.286 4.073 1.337 1.333 1.330 1.328 1.325 3.252 3.222 3.197 3.174 3.153 0.690 1.746 2.120 2.921 4.015 3.965 3.922 3.883 3.850 16 0.689 0.688 0.688 0.687 0.865 0.863 0.862 1.071 1.069 1.067 2.235 2.224 2.583 2.567 2.552 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 17 1.740 2.110 18 1.734 1.729 2.101 2.214 2.539 2.528 19 0.861 1.066 2.093 2.205 20 0.860 1.064 1.725 2.086 2.197
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 0.05 with 25 degrees of freedom.
(Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.02 with 12 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 0.005 with 10 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 50% confidence. Assume 17 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 0.05 with 25 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 12 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 0.005 with 10 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 50% confidence. Assume 17 degrees of freedom. (Round to three decimal places as needed.)
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