For parts a and​ b, use the t​ tables, software, or a calculator to estimate. For parts c and​ d, use software or a calculator to estimate. ​a) the critical value of t for a 90​% confidence interval with df=25. ​b) the critical value of t for a 99​% confidence interval with df=89. ​c) the​ P-value for t≥1.38 with 4 degrees of freedom. ​d) the​ P-value for t>1.41 with 25 degrees of freedom. LOADING... Click the icon to view the t table. ​a) What is the critical value of t for a 90​% confidence interval with df=25​?   nothing ​(Round to two decimal places as​ needed.) ​b) What is the critical value of t for a 99​% confidence interval with df=89​?   nothing ​(Round to two decimal places as​ needed.) ​c) What is the​ P-value for t≥1.38 with 4 degrees of​ freedom?   nothing ​(Round to three decimal places as​ needed.) ​d) What is the​ P-value for t>1.41 with 25 degrees of​ freedom?   nothing ​(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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For parts a and​ b, use the t​ tables, software, or a calculator to estimate. For parts c and​ d, use software or a calculator to estimate.
​a) the critical value of t for a
90​%
confidence interval with
df=25.
​b) the critical value of t for a
99​%
confidence interval with
df=89.
​c) the​ P-value for
t≥1.38
with
4
degrees of freedom.
​d) the​ P-value for
t>1.41
with
25
degrees of freedom.
LOADING...
Click the icon to view the t table.
​a) What is the critical value of t for a
90​%
confidence interval with
df=25​?
 
nothing
​(Round to two decimal places as​ needed.)
​b) What is the critical value of t for a
99​%
confidence interval with
df=89​?
 
nothing
​(Round to two decimal places as​ needed.)
​c) What is the​ P-value for
t≥1.38
with
4
degrees of​ freedom?
 
nothing
​(Round to three decimal places as​ needed.)
​d) What is the​ P-value for
t>1.41
with
25
degrees of​ freedom?
 
nothing
​(Round to three decimal places as​ needed.)
Two-tail probability
One-tail probability
0.20
0.10
0.05
0.02
0.01
0.10
0.05
0.025
0.01
0.005
Confidence levels
80%
90%
95%
98%
99%
df
df
Table T
Values of t.
63.657
9.925
1
3.078
6.314
12.706
31.821
1
6.965
4.541
2
1.886
2.920
4.303
3
1.638
2.353
3.182
2.776
5.841
3
4
1.533
2.132
3.747
4.604
4
1.476
2.015
2.571
3.365
4.032
1.943
1.895
6
1.440
2.447
3.143
3.707
6
7
1.415
2.365
2.998
3.499
7
1.860
1.833
1.397
2.306
2.896
3.355
8
1.383
2.262
2.821
3.250
Two tails
10
1.372
1.812
2.228
2.764
3.169
10
11
1.363
1.796
2.201
2.718
3.106
3.055
11
12
1.356
1.782
2.179
2.681
12
13
1.350
1.771
2.160
2.650
3.012
13
14
1.345
1.761
2.145
2.624
2.977
14
15
1.341
1.753
2.131
2.602
2.947
15
2.583
2.921
2.898
16
1.337
1.746
2.120
16
1.333
1.330
1.740
1.734
One tail
17
2.110
2.567
17
18
2.101
2.552
2.878
18
19
1.328
1.729
2.093
2.539
2.861
19
20
1.325
1.725
2.086
2.528
2.845
20
21
1.323
1.721
2.080
2.518
2.831
21
Print
Done
Transcribed Image Text:Two-tail probability One-tail probability 0.20 0.10 0.05 0.02 0.01 0.10 0.05 0.025 0.01 0.005 Confidence levels 80% 90% 95% 98% 99% df df Table T Values of t. 63.657 9.925 1 3.078 6.314 12.706 31.821 1 6.965 4.541 2 1.886 2.920 4.303 3 1.638 2.353 3.182 2.776 5.841 3 4 1.533 2.132 3.747 4.604 4 1.476 2.015 2.571 3.365 4.032 1.943 1.895 6 1.440 2.447 3.143 3.707 6 7 1.415 2.365 2.998 3.499 7 1.860 1.833 1.397 2.306 2.896 3.355 8 1.383 2.262 2.821 3.250 Two tails 10 1.372 1.812 2.228 2.764 3.169 10 11 1.363 1.796 2.201 2.718 3.106 3.055 11 12 1.356 1.782 2.179 2.681 12 13 1.350 1.771 2.160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 15 1.341 1.753 2.131 2.602 2.947 15 2.583 2.921 2.898 16 1.337 1.746 2.120 16 1.333 1.330 1.740 1.734 One tail 17 2.110 2.567 17 18 2.101 2.552 2.878 18 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 Print Done
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