A) Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 26. (Round your answer to three decimal places.) B)Use the Student's t distribution to find tc for a 0.99 confidence level when the sample is 27. (Round your answer to three decimal places.) C) Use the Student's t distribution to find tc for a 0.90 confidence level when the sample is 23. (Round your answer to three decimal places.)

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

A) Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 26. (Round your answer to three decimal places.)

B)Use the Student's t distribution to find tc for a 0.99 confidence level when the sample is 27. (Round your answer to three decimal places.)

C) Use the Student's t distribution to find tc for a 0.90 confidence level when the sample is 23. (Round your answer to three decimal places.)

Critical Values for Student's t Distribution
one-tail area
0.250 0.125
0.100 0.075
0.050
0.025
0.010
0.005
0.0005
two-tail area
0.500 0.250 0.200
0.150
0.100 0.050 0.020
0.010
0.0010
d.f.
0.500
0.750
0.800
0.850
0.900
0.950 0.980
0.990
0.999
1
1.000
2.414
3.078
4.165
6.314 12.706 31.821 63.657
636.619
2
0.816
1.604
1.886
2.282
2.920
4.303
6.965
9.925
31.599
3
0.765
1.423
1.638
1.924
2.353
3.182
4.541
5.841
12.924
4
0.741
1.344
1.533
1.778
2.132
2.776
3.747
4.604
8.610
0.727
1.301
1.476
1.699
2.015
2.571
3.365
4.032
6.869
0.718
1.273
1.440
1.650
1.943
2.447
3.143
3.707
5.959
7
0.711
1.254
1.415
1.617
1.895
2.365
2.998
3.499
5.408
8
0.706
1.240
1.397
1.592
1.860
2.306
2.896
3.355
5.041
9
0.703
1.230
1.383
1.574
1.833
2.262
2.821
3.250
4.781
10
0.700
1.221
1.372
1.559
1.812
2.228
2.764
3.169
4.587
11
0.697
1.214
1.363
1.548
1.796
2,201
2.718
3.106
4.437
12
0.695
1.209
1.356
1.538
1.782
2.179
2.681
3.055
4.318
13
0.694
1.204
1.350
1.530
1.771
2.160
2.650
3.012
4.221
14
0.692
1.200
1.345
1.523
1.761
2.145
2.624
2.977
4.140
15
0.691
1.197
1.341
1.517
1.753
2.131
2.602
2.947
4.073
16
0.690
1.194
1.337
1.512
1.746
2.120
2.583
2.921
4.015
17
0.689
1.191
1.333
1.508
1.740
2.110
2.567
2.898
3.965
18
0.688
1.189
1.330
1.504
1.734
2.101
2.552
2.878
3.922
19
0.688
1.187
1.328
1.500
1.729
2.093
2.539
2.861
3.883
20
0.687
1.185
1.325
1.497
1.725
2.086
2.528
2.845
3.850
21
0.686
1.183
1.323
1.494
1.721
2.080
2.518
2.831
3.819
22
0.686
1.182
1.321
1.492
1.717
2.074 2.508
2.819
3.792
23
0.685
1.180
1.319
1.489
1.714
2.069
2.500
2.807
3.768
24
0.685
1.179
1.318
1.487
1.711
2.064
2.492
2.797
3.745
25
0.684
1.198
1.316
1.485
1.708
2.060
2.485
2.787
3.725
26
0.684
1.177
1.315
1.483
1.706
2.056
2.479
2.779
3.707
27
0.684
1.176
1.314
1.482
1.703
2.052
2.473
2.771
3.690
28
0.683
1.175
1.313
1.480
1.701
2.048
2.467
2.763
3.674
29
0.683
1.174
1.311
1.479
1.699
2.045
2.462
2.756
3.659
30
0.683
1.173
1.310
1.477
1.697
2.042
2.457
2.750
3.646
35
0.682
1.170
1.306
1.472
1.690
2.030
2.438
2.724
3.591
40
0.681
1.167
1.303
1.468
1.684
2.021
2.423
2.704
3.551
45
0.680
1.165
1.301
1.465
1.679
2.014
2.412
2.690
3.520
50
0.679
1.164
1.299
1.462
1.676
2.009
2.403
2.678
3.496
60
0.679
1.162
1.296
1.458
1.671
2.000
2.390
2.660
3.460
70
0.678
1.160
1.294
1.456
1.667
1.994
2.381
2.648
3.435
80
0.678
1.159
1.292
1.453
1.664
1.990
2.374
2.639
3.416
100
0.677
1.157
1.290
1.451
1.660
1.984
2.364
2.626
3.390
500
0.675
1.152
1.283
1.442
1.648
1.965
2.334
2.586
3.310
1000
0.675
1.151
1.282
1.441
1.646
1.962
2.330
2.581
3.300
00
0.674
1.150
1.282
1.440
1.645
1.960
2.326
2.576
3.291
For degrees of freedom d.f. not in the table, use the closest df. that is smaller.
Transcribed Image Text:Critical Values for Student's t Distribution one-tail area 0.250 0.125 0.100 0.075 0.050 0.025 0.010 0.005 0.0005 two-tail area 0.500 0.250 0.200 0.150 0.100 0.050 0.020 0.010 0.0010 d.f. 0.500 0.750 0.800 0.850 0.900 0.950 0.980 0.990 0.999 1 1.000 2.414 3.078 4.165 6.314 12.706 31.821 63.657 636.619 2 0.816 1.604 1.886 2.282 2.920 4.303 6.965 9.925 31.599 3 0.765 1.423 1.638 1.924 2.353 3.182 4.541 5.841 12.924 4 0.741 1.344 1.533 1.778 2.132 2.776 3.747 4.604 8.610 0.727 1.301 1.476 1.699 2.015 2.571 3.365 4.032 6.869 0.718 1.273 1.440 1.650 1.943 2.447 3.143 3.707 5.959 7 0.711 1.254 1.415 1.617 1.895 2.365 2.998 3.499 5.408 8 0.706 1.240 1.397 1.592 1.860 2.306 2.896 3.355 5.041 9 0.703 1.230 1.383 1.574 1.833 2.262 2.821 3.250 4.781 10 0.700 1.221 1.372 1.559 1.812 2.228 2.764 3.169 4.587 11 0.697 1.214 1.363 1.548 1.796 2,201 2.718 3.106 4.437 12 0.695 1.209 1.356 1.538 1.782 2.179 2.681 3.055 4.318 13 0.694 1.204 1.350 1.530 1.771 2.160 2.650 3.012 4.221 14 0.692 1.200 1.345 1.523 1.761 2.145 2.624 2.977 4.140 15 0.691 1.197 1.341 1.517 1.753 2.131 2.602 2.947 4.073 16 0.690 1.194 1.337 1.512 1.746 2.120 2.583 2.921 4.015 17 0.689 1.191 1.333 1.508 1.740 2.110 2.567 2.898 3.965 18 0.688 1.189 1.330 1.504 1.734 2.101 2.552 2.878 3.922 19 0.688 1.187 1.328 1.500 1.729 2.093 2.539 2.861 3.883 20 0.687 1.185 1.325 1.497 1.725 2.086 2.528 2.845 3.850 21 0.686 1.183 1.323 1.494 1.721 2.080 2.518 2.831 3.819 22 0.686 1.182 1.321 1.492 1.717 2.074 2.508 2.819 3.792 23 0.685 1.180 1.319 1.489 1.714 2.069 2.500 2.807 3.768 24 0.685 1.179 1.318 1.487 1.711 2.064 2.492 2.797 3.745 25 0.684 1.198 1.316 1.485 1.708 2.060 2.485 2.787 3.725 26 0.684 1.177 1.315 1.483 1.706 2.056 2.479 2.779 3.707 27 0.684 1.176 1.314 1.482 1.703 2.052 2.473 2.771 3.690 28 0.683 1.175 1.313 1.480 1.701 2.048 2.467 2.763 3.674 29 0.683 1.174 1.311 1.479 1.699 2.045 2.462 2.756 3.659 30 0.683 1.173 1.310 1.477 1.697 2.042 2.457 2.750 3.646 35 0.682 1.170 1.306 1.472 1.690 2.030 2.438 2.724 3.591 40 0.681 1.167 1.303 1.468 1.684 2.021 2.423 2.704 3.551 45 0.680 1.165 1.301 1.465 1.679 2.014 2.412 2.690 3.520 50 0.679 1.164 1.299 1.462 1.676 2.009 2.403 2.678 3.496 60 0.679 1.162 1.296 1.458 1.671 2.000 2.390 2.660 3.460 70 0.678 1.160 1.294 1.456 1.667 1.994 2.381 2.648 3.435 80 0.678 1.159 1.292 1.453 1.664 1.990 2.374 2.639 3.416 100 0.677 1.157 1.290 1.451 1.660 1.984 2.364 2.626 3.390 500 0.675 1.152 1.283 1.442 1.648 1.965 2.334 2.586 3.310 1000 0.675 1.151 1.282 1.441 1.646 1.962 2.330 2.581 3.300 00 0.674 1.150 1.282 1.440 1.645 1.960 2.326 2.576 3.291 For degrees of freedom d.f. not in the table, use the closest df. that is smaller.
Expert Solution
Step 1

Introduction:

The Student's t distribution has degrees of freedom, d.f.n - 1, when a sample of size n is considered.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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