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.)
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
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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.)
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.
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