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 12 degrees of freedom. 1.782 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.25 with 5 degrees of freedom. 0.727 (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.01 with 26 degrees of freedom. [Hint - 2.479 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 95% confidence. Assume 10 degrees of freedom. (Round to three decimal places as needed.)

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Determine the t-value in each of the cases.
i
Table of t-Distribution Areas
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 12 degrees of freedom.
1.782 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.25 with 5 degrees of freedom.
0.727 (Round to three decimal places as needed.)
-Area in
(c) Find the t-value such that the area left of the t-value is 0.01 with 26 degrees of freedom. [Hint
right tail
- 2.479 (Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 95% confidence. Assume 10 degrees of freedom.
Table VI
(Round to three decimal places as needed.)
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
127.321
14.089
636.619
31.599
12.924
8.610
6.869
1
1.376
1.963
3.078
6.314
12.706
4.303
3.182
2.776
2.571
15.894
31.821
63.657
9.925
5.841
4.604
4.032
1.000
318.309
2
2.920
4.849
0.816
3
0.765
4
0.741
0.727
1.061
0.978
0.941
1.386
1.250
1.886
1.638
1.533
2.353
2.132
2.015
3.482
2.999
2.757
6.965
4.541
22.327
10.215
7.173
7.453
5.598
1.190
3.747
5
0.920
1.156
1.476
3.365
4.773
5.893
0.718
0.711
7
0.706
8
0.703
9
2.612
2.517
0.906
1.134
1.943
2.447
3.143
4.317
3.707
3.499
3.355
3.250
5.208
5.959
5.408
1.440
0.896
0.889
0.883
0.879
1.119
1.895
2.365
4.785
1.108
1.100
1.093
1.415
1.397
1.383
1.860
1.833
1.812
2.998
2.896
2.821
4.029
3.833
3.690
2.306
2.262
2.449
4.501
4.297
5.041
4.781
2.398
2.359
10
0.700
1.372
2.228
2.764
3.169
3.581
4.144
4.587
0.697
0.695
0.694
1.363
1.356
4.025
3.930
3.852
1.796
3.497
3.428
3.372
11
0.876
1.088
1.083
2.201
2.179
2.160
2.328
2.303
2.718
2.681
2.650
3.106
3.055
3.012
4.437
4.318
4.221
12
0.873
0.870
1.782
13
1.079
1.350
1.771
2.282
Transcribed Image Text:Determine the t-value in each of the cases. i Table of t-Distribution Areas 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 12 degrees of freedom. 1.782 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.25 with 5 degrees of freedom. 0.727 (Round to three decimal places as needed.) -Area in (c) Find the t-value such that the area left of the t-value is 0.01 with 26 degrees of freedom. [Hint right tail - 2.479 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 95% confidence. Assume 10 degrees of freedom. Table VI (Round to three decimal places as needed.) 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 127.321 14.089 636.619 31.599 12.924 8.610 6.869 1 1.376 1.963 3.078 6.314 12.706 4.303 3.182 2.776 2.571 15.894 31.821 63.657 9.925 5.841 4.604 4.032 1.000 318.309 2 2.920 4.849 0.816 3 0.765 4 0.741 0.727 1.061 0.978 0.941 1.386 1.250 1.886 1.638 1.533 2.353 2.132 2.015 3.482 2.999 2.757 6.965 4.541 22.327 10.215 7.173 7.453 5.598 1.190 3.747 5 0.920 1.156 1.476 3.365 4.773 5.893 0.718 0.711 7 0.706 8 0.703 9 2.612 2.517 0.906 1.134 1.943 2.447 3.143 4.317 3.707 3.499 3.355 3.250 5.208 5.959 5.408 1.440 0.896 0.889 0.883 0.879 1.119 1.895 2.365 4.785 1.108 1.100 1.093 1.415 1.397 1.383 1.860 1.833 1.812 2.998 2.896 2.821 4.029 3.833 3.690 2.306 2.262 2.449 4.501 4.297 5.041 4.781 2.398 2.359 10 0.700 1.372 2.228 2.764 3.169 3.581 4.144 4.587 0.697 0.695 0.694 1.363 1.356 4.025 3.930 3.852 1.796 3.497 3.428 3.372 11 0.876 1.088 1.083 2.201 2.179 2.160 2.328 2.303 2.718 2.681 2.650 3.106 3.055 3.012 4.437 4.318 4.221 12 0.873 0.870 1.782 13 1.079 1.350 1.771 2.282
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