(a) Find the t-value such that the area in the right tail is 0.02 with 23 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.10 with 10 degrees of freedom. 1.372 (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 5 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to an area of 0.25 to the left. Assume 15 degrees of freedom [Hint: Use symmetry.] (Round to three decimal places as needed.)

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Solve for A) C) and D)

301
Table of t-Distribution Areas
df
1
2
3
4
5
6
0.25
Area in
right tail
0.20
1.000 1.376
0.816
0.765
0.741
0.727
0.15
1.061
0.978 1.250
0.941
0.920 1.156
0.10
1.963
3.078
1.386 1.886
0.718 0.906 1.134
0711
0906
1 110
1.190 1.533
1.476
6.314
2.920
2.353
1.638
2.132
2.015
0.05
1.440
1115
1.943
1 905
Table VI
-Distribution
Area in Right Tail
0.025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
Print
0.02
0.01
15.894
31.821
4.849
6.965
3.482
4.541
2.999
3.747
2.757 3.365
2.612
3.143
5000
Done
0.005
0.0025
63.657 127:321
9.925
14.089
5.841
7.453
4.604
5.598
4.032
4.773
3.707
2 100
4.317
1020
0.001
318.309
22.327
10.215
7.173
5.893
5.208
1785
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
Transcribed Image Text:301 Table of t-Distribution Areas df 1 2 3 4 5 6 0.25 Area in right tail 0.20 1.000 1.376 0.816 0.765 0.741 0.727 0.15 1.061 0.978 1.250 0.941 0.920 1.156 0.10 1.963 3.078 1.386 1.886 0.718 0.906 1.134 0711 0906 1 110 1.190 1.533 1.476 6.314 2.920 2.353 1.638 2.132 2.015 0.05 1.440 1115 1.943 1 905 Table VI -Distribution Area in Right Tail 0.025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 Print 0.02 0.01 15.894 31.821 4.849 6.965 3.482 4.541 2.999 3.747 2.757 3.365 2.612 3.143 5000 Done 0.005 0.0025 63.657 127:321 9.925 14.089 5.841 7.453 4.604 5.598 4.032 4.773 3.707 2 100 4.317 1020 0.001 318.309 22.327 10.215 7.173 5.893 5.208 1785 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408
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 0.02 with 23 degrees of freedom.
(Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.10 with 10 degrees of freedom.
1.372 (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 5 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed)
(d) Find the critical t-value that corresponds to an area of 0.25 to the left. Assume 15 degrees of freedom [Hint: Use symmetry]
(Round to three decimal places as needed.)
A
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 0.02 with 23 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.10 with 10 degrees of freedom. 1.372 (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 5 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed) (d) Find the critical t-value that corresponds to an area of 0.25 to the left. Assume 15 degrees of freedom [Hint: Use symmetry] (Round to three decimal places as needed.) A
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