Question. Using 't-table.pdf" file, construct confidence intervals 1. Confidence level : 90%, degree of freedom = 15, i = 10, s = 2 2. Confidence level : 95%, degree of freedom = 150, x =-15, s= 10 %3D 3. Confidence level : 99%, degree of freedom = 25, i = 0, s = 5

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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answer for 3rd question 

t Table
cum. prob
one-tail
two-tails
df
t so
0.50
t 30
t85
0.15
t 975
t
995
t
999
t g995
t 90
0.10
t 99
0.01
.75
95
0.25
0.20
0.05
0.025
0.005
0.001 0.0005
1.00
0.50
0.40
0.30
0.20
0.10
0.05
0.02
0.01
0.002
0.001
0.000
1.000
1.376
1.963
3.078
6.314
12.71
31.82
63.66
318.31
636.62
0.000
0.816
1.061
1.386
1.886
2.920
4.303
6.965
9.925
22.327
31.599
3
4
0.000
0.765
0.978
1.250
1.638
2.353
3.182
4.541
5.841
10.215
12.924
0.000
0.741
0.941
1.190
1.533
2.132
2.776
3.747
4.604
7.173
8.610
5
0.000
0.727
0.920
1.156
1.476
2.015
2.571
3.365
4.032
5.893
6.869
0.000
0.718
0.906
1.134
1.440
1.943
2.447
3.143
3.707
5.208
5.959
2.365
2.306
3.499
3.355
0.000
0.711
0.896
1.119
1.415
1.895
2.998
4.785
5.408
1.397
1.383
8
0.000
0.706
0.889
1.108
1.860
2.896
4.501
5.041
0.000
2.821
0.703
0.700
0.883
1.100
1.833
2.262
3.250
4.297
4.781
10
0.000
0.879
1.093
1.088
1.372
1.363
1.812
2.228
2.764
3.169
4.144
4.587
11
0.000
0.697
0.876
1.796
2.201
2.718
3. 106
4.025
4.437
12
13
14
15
16
17
18
19
20
0.000
0.695
0.873
1.083
1.356
1.782
2.179
2.681
3.055
3.930
4.318
0.000
0.694
0.870
1.079
1.350
1.771
2.160
2.650
3.012
3.852
4.221
0.000
0.692
0.868
1.076
1.345
1.761
2.145
2.624
2.977
3.787
4.140
0.000
0.691
0.866
1.074
1.341
1.753
2.131
2.602
2.947
3.733
4.073
0.000
0.690
0.865
1.071
1.337
1.746
2.120
2.583
2.921
3.686
4.015
0.000
0.689
0.863
1.069
1.333
1.740
2.110
2.567
2.898
3.646
3.965
0.000
0.688
0.862
1.067
1.330
1.734
2.101
2.552
2.878
3.610
3.922
0.000
0.688
0.861
1.066
1.328
1.729
2.093
2.539
2.861
3.579
3.883
0.000
0.687
0.860
1.064
1.325
1.725
2.086
2.528
2.845
3.552
3.850
21
0.000
0.686
0.859
1.063
1.323
1.721
2.080
2.518
2.831
3.527
3.819
22
0.000
0.686
0.858
1.061
1.321
1.717
2.074
2.508
2.819
3.505
3.792
23
24
25
26
27
28
29
30
40
60
80
100
1000
0.000
0.685
0.858
1.060
1.319
1.714
2.069
2.500
2.807
3.485
3.768
0.685
0.684
0.684
0.000
0.857
1.059
1.318
1.711
2.064
2.492
2.797
3.467
3.745
0.000
0.856
1.058
1.316
1.708
2.060
2.485
2.787
3.450
3.725
0.000
0.000
0.000
0.856
1.058
1.315
1.706
2.056
2.479
2.779
3.435
3.707
0.684
0.855
1.057
1.314
1.703
2.052
2.473
2.771
3.421
3.690
0.683
0.855
1.056
1.313
1.701
2.048
2.467
2.763
3.408
3.674
0.000
0.683
0.854
1.055
1.311
1.699
2.045
2.462
2.756
3.396
3.659
0.000
0.683
0.854
1.055
1.310
1.697
2.042
2.457
2.750
3.385
3.646
0.000
0.681
0.851
1.050
1.303
1.684
2.021
2.423
2.704
3.307
3.551
0.000
0.679
0.848
1.045
1.296
1.671
2.000
2.390
2.660
3.232
3.460
0.000
0.678
0.846
1.043
1.292
1.664
1.990
2.374
2.639
3.195
3.416
0.845
0.842
0.000
0.677
1.042
1.290
1.660
1.984
2.364
2.626
3.174
3.390
0.000
0.675
1.037
1.282
1.646
1.962
2.330
2.581
3.098
3.300
0.000
0.674
0.842
1.036
1.282
1.645
1.960
2.326
2.576
3.090
3.291
0%
50%
60%
70%
99.8% 99.9%
80%
Confidence Level
90%
95%
98%
99%
123 567 89o -23 4567 89a E N
Transcribed Image Text:t Table cum. prob one-tail two-tails df t so 0.50 t 30 t85 0.15 t 975 t 995 t 999 t g995 t 90 0.10 t 99 0.01 .75 95 0.25 0.20 0.05 0.025 0.005 0.001 0.0005 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.002 0.001 0.000 1.000 1.376 1.963 3.078 6.314 12.71 31.82 63.66 318.31 636.62 0.000 0.816 1.061 1.386 1.886 2.920 4.303 6.965 9.925 22.327 31.599 3 4 0.000 0.765 0.978 1.250 1.638 2.353 3.182 4.541 5.841 10.215 12.924 0.000 0.741 0.941 1.190 1.533 2.132 2.776 3.747 4.604 7.173 8.610 5 0.000 0.727 0.920 1.156 1.476 2.015 2.571 3.365 4.032 5.893 6.869 0.000 0.718 0.906 1.134 1.440 1.943 2.447 3.143 3.707 5.208 5.959 2.365 2.306 3.499 3.355 0.000 0.711 0.896 1.119 1.415 1.895 2.998 4.785 5.408 1.397 1.383 8 0.000 0.706 0.889 1.108 1.860 2.896 4.501 5.041 0.000 2.821 0.703 0.700 0.883 1.100 1.833 2.262 3.250 4.297 4.781 10 0.000 0.879 1.093 1.088 1.372 1.363 1.812 2.228 2.764 3.169 4.144 4.587 11 0.000 0.697 0.876 1.796 2.201 2.718 3. 106 4.025 4.437 12 13 14 15 16 17 18 19 20 0.000 0.695 0.873 1.083 1.356 1.782 2.179 2.681 3.055 3.930 4.318 0.000 0.694 0.870 1.079 1.350 1.771 2.160 2.650 3.012 3.852 4.221 0.000 0.692 0.868 1.076 1.345 1.761 2.145 2.624 2.977 3.787 4.140 0.000 0.691 0.866 1.074 1.341 1.753 2.131 2.602 2.947 3.733 4.073 0.000 0.690 0.865 1.071 1.337 1.746 2.120 2.583 2.921 3.686 4.015 0.000 0.689 0.863 1.069 1.333 1.740 2.110 2.567 2.898 3.646 3.965 0.000 0.688 0.862 1.067 1.330 1.734 2.101 2.552 2.878 3.610 3.922 0.000 0.688 0.861 1.066 1.328 1.729 2.093 2.539 2.861 3.579 3.883 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845 3.552 3.850 21 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 3.527 3.819 22 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819 3.505 3.792 23 24 25 26 27 28 29 30 40 60 80 100 1000 0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 3.485 3.768 0.685 0.684 0.684 0.000 0.857 1.059 1.318 1.711 2.064 2.492 2.797 3.467 3.745 0.000 0.856 1.058 1.316 1.708 2.060 2.485 2.787 3.450 3.725 0.000 0.000 0.000 0.856 1.058 1.315 1.706 2.056 2.479 2.779 3.435 3.707 0.684 0.855 1.057 1.314 1.703 2.052 2.473 2.771 3.421 3.690 0.683 0.855 1.056 1.313 1.701 2.048 2.467 2.763 3.408 3.674 0.000 0.683 0.854 1.055 1.311 1.699 2.045 2.462 2.756 3.396 3.659 0.000 0.683 0.854 1.055 1.310 1.697 2.042 2.457 2.750 3.385 3.646 0.000 0.681 0.851 1.050 1.303 1.684 2.021 2.423 2.704 3.307 3.551 0.000 0.679 0.848 1.045 1.296 1.671 2.000 2.390 2.660 3.232 3.460 0.000 0.678 0.846 1.043 1.292 1.664 1.990 2.374 2.639 3.195 3.416 0.845 0.842 0.000 0.677 1.042 1.290 1.660 1.984 2.364 2.626 3.174 3.390 0.000 0.675 1.037 1.282 1.646 1.962 2.330 2.581 3.098 3.300 0.000 0.674 0.842 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291 0% 50% 60% 70% 99.8% 99.9% 80% Confidence Level 90% 95% 98% 99% 123 567 89o -23 4567 89a E N
Question. Using *t-table.pdf" file, construct confidence intervals
1. Confidence level : 90%, degree of freedom = 15, i = 10, s= 2
2. Confidence level : 95%, degree of freedom = 150, x = -15, s = 10
3. Confidence level : 99%, degree of freedom = 25, i = 0, s = 5
%3D
->
:)
Transcribed Image Text:Question. Using *t-table.pdf" file, construct confidence intervals 1. Confidence level : 90%, degree of freedom = 15, i = 10, s= 2 2. Confidence level : 95%, degree of freedom = 150, x = -15, s = 10 3. Confidence level : 99%, degree of freedom = 25, i = 0, s = 5 %3D -> :)
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