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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman