A- Area in right tail Table VI t-Distribution Area in Right Tail 0.025 0.01 0.005 0.0025 15.894 31.821 63.657 12.706 127.321 4.303 4.849 6.965 9.925 14.089 3.182 3.482 4.541 5.841 7.453 2.776 2.999 3.747 4.604 5.598 2.571 3.365 4.032 4.773 2.757 2.612 3.143 3.707 2.447 2.998 3.499 2.365 2.306 2.262 2.398 2.821 2.517 2.449 2.896 3.355 3.250 2.359 2.764 3.169 2.583 2.228 0.697 0.876 1.088 1.363 1.796 2.201 0.695 0.873 1.083 1.356 1.782 2.179 0.694 0.870 1.079 1.350 1.771 2.160 0.692 0.868 1.076 1.345 1.761 2.145 2.264 0.691 0.866 1.074 1.341 1.753 2.131 2.249 0.690 0.865 1.071 1.337 1.746 2.120 2.235 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 0.688 0.862 1.067 1.330 1.734 2.101 0.688 0.861 1.066 1.328 1.729 2.093 0.687 0.860 1.064 1.325 1.725 2.086 0.686 0.859 1.063 1.323 1.721 2.080 0.686 0.858 1.061 1.321 1.717 2.074 0.685 0.858 1.060 1.319 1.714 2.069 0.685 0.857 1.059 1.318 1.711 2.064 0.684 0.856 1.058 2.214 2.552 2.189 2.518 2.183 2.508 2.177 2.500 2.807 2.172 2.492 2.797 2.060 2.167 2.485 2.787 1.316 1.708 0.684 0.856 1.058 1.315 1.706 2.162 2.479 2.779 2.473 2.771 2.738 2:000 2.056 0.684 0.855 1.057 1.314 1.703 2.052 2.158 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 0.682 0.852 1.052 1.307 1.691 2.032 2.136 2.441 0.682 0.852 1.052 1.306 1.690 2.030 2.133 2.438 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 0.681 0.851 1.051 1.304 1.686 2.024 2.127 2.429 2.712 0.681 0.851 1.050 1.304 1.685 2.023 2.125 2.426 2.708 0.681 0.851 2.733 1.050 1.303 1.684 2.021 0.25 0.20 0.15 0.10 0.05 1.000 1.376 1.963 3.078 6.314 0.816 1.061 1.386 1.886 2.920 0.765 0.978 1.250 1.638 2.353 0.741 0.941 1.190 1.533 2.132 0.727 0.920 1.156 1.476 2.015 0.718 0.906 1.134 1.440 1.943 0.711 0.896 1.119 1.415 1.895 0.706 0.889 1.108 1.397 1.860 0.703 0.883 1.100 1.383 1.833 0.700 0.879 1.093 1.372 1.812 0.02 2.328 2.718 3.106 3.055 2.303 2.681 2.282 2.650 3.012 2.624 2.977 2.602 2.947 2.921 2.898 2.878 2.205 2.539 2.861 2.197 2.528 2.845 2.831 2.819 2.728 2.724 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.067 3.057 3.047 3.038 3.030 3.022 3.015 3.008 3.002 2.996 3.527 3.505 3.104 3.485 3.091 3.467 3.078 3.450 2.719 2.990 2.985 0.001 2.980 2.976 2.123 2.423 2.704 2.971 318.309 22.327 10.215 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 3.435 3.421 3.408 3.396 3.385 3.375 3.365 3.356 3.348 3.340 3.333 3.326 3.319 3.313 3.307 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551

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
Question
10/8/23, 8:31 PM
df
0.25 0.20
0.15
0.10
0.05
0.727 0.920
2.757 3.365 4.032
0.718 0.906
1.440 1.943
3.143 3.707
2.612
2.517
1.415 1.895
2.365
2.998 3.499
8
2.449
2.896 3.355
9
3.250
2.764 3.169
2.398 2.821
2.359
2.328 2.718 3.106
2.303 2.681 3.055
2.282 2.650 3.012
2.264 2.624 2.977
2.249
2.602
2.947
Tove
B
0.025 0.02
1.000 1.376 1.963 3.078 6.314 12.706
15.894 31.821
0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965
0.765
0.978
1.250 1.638 2.353 3.182
3.482 4.541 5.841
0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604
1.156 1.476 2.015 2.571
1.134
2.447
0.711 0.896
1.119
0.706 0.889 1.108 1.397 1.860 2.306
0.703 0.883 1.100 1.383 1.833 2.262
10 0.700 0.879 1.093 1.372 1.812 2.228
11 0.697 0.876 1.088 1.363 1.796 2.201
12 0.695 0.873 1.083 1.356 1.782 2.179
13 0.694 0.870 1.079 1.350 1.771 2.160
14 0.692 0.868 1.076 1.345 1.761 2.145
15 0.691 0.866 1.074 1.341
1.753 2.131
16 0.690
0.865
1.071 1.337 1.746 2.120 2.235
17 0.689 0.863 1.069 1.333 1.740 2.110 2.224
18 0.688 0.862 1.067 1.330 1.734 2.101 2.214
19 0.688 0.861 1.066 1.328 1.729 2.093 2.205
20 0.687 0.860 1.064 1.325 1.725 2.086 2.197
21 0.686 0.859 1.063 1.323 1.721 2.080
0.686 0.858 1.061 1.321 1.717 2.074
0.685
0.858 1.060
1.319 1.714 2.069
0.685
0.857
1.059 1.318 1.711 2.064
0.684
0.856 1.058 1.316
0.684 0.856 1.058 1.315 1.706
0.684 0.855 1.057 1.314 1.703
0.683 0.855 1.056 1.313 1.701
0.683 0.854 1.055
1.311 1.699
30 0.683 0.854 1.055 1.310 1.697
31 0.682 0.853 1.054 1.309 1.696 2.040 2.144
0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738
0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733
0.682 0.852 1.052 1.307 1.691 2.032 2.136 2.441 2.728
0.682 0.852 1.052 1.306 1.690 2.030 2.133 2.438
0.681 0.852
1.052 1.306 1.688 2.028
2.131 2.434
2.719
37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715
0.681 0.851 1.051 1.304 1.686 2.024 2.127
39 0.681 0.851 1.050 1.304 1.685 2.023 2.125
0.681 0.851 1.050 1.303 1.684 2.021 2.123
50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678
60
0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660
70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648
80
0.678 0.846 1.043 1.292 1.664 1.990
90 0.677 0.846 1.042 1.291 1.662
0.677 0.845 1.042 1.290 1.660
0.675 0.842 1.037 1.282 1.646
0.674 0.842 1.036 1.282 1.645
2.189 2.518 2.831
2.183 2.508 2.819
2.177
2.172
1.708 2.060 2.167
2.453 2.744
2.429 2.712
2.426 2.708
40
2.423 2.704
1.987 2.084
1
2
3
4
5
6
7
2522858334268885883595%
df
27
100
1000
Z
0.25
Area in
right tail
0.20
0.15
0.10
Table VI
t-Distribution
Area in Right Tail
0.05
0.025
0.01
2.056 2.162
2.052 2.158 2.473
2.048 2.154 2.467
2.045
2.042 2.147 2.457
1.984 2.081
1.962 2.056
1.960 2.054
0.02
Table of t-Distribution Areas
Area in Right Tail
0.005 0.0025 0.001
63.657 127.321 318.309
9.925 14.089 22.327
7.453
10.215
5.598
7.173
4.773
5.893
2.583
2.921
2.567 2.898
2.552 2.878
2.539 2.861
2.528 2.845
2.500 2.807
2.492 2.797
2.485 2.787
2.150 2.462 2.756
2.750
2.479 2.779
2.771
2.763
0.01
4.317
4.029
3.833
3.690
3.581
2.364 2.626
2.330 2.581
2.326
2.576
3.497
3.428
3.372
3.326
3.286
Berwaw
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
2.937
2.915
2.899
2.088 2.374 2.639 2.887
2.368 2.632
2.878
3.047
3.038
3.030
3.022
3.015
3.008
3.002
2.724 2.996
B
3.067 3.435
3.057
3.421
3.408
3.396
3.385
2.990
2.985
2.980
2.976
2.971
2.871
2.813
2.807
5.208
4.785
4.501
4.297
4.144
0.005 0.0025
4.025
3.930
3.852
3.787
3.733
Barce
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.375
3.365
3.356
3.348
3.340
3.333
3.326
3.319
3.313
3.307
3.261
3.232
3.211
3.195
3.183
3.174
3.098
3.090
0.001
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.633
3.622
3.611
3.601
3.591
3.582
3.574
3.566
3.558
3.551
3.496
3.460
3.435
3.416
3.402
3.390
3.300
3.291
0.0005
Transcribed Image Text:10/8/23, 8:31 PM df 0.25 0.20 0.15 0.10 0.05 0.727 0.920 2.757 3.365 4.032 0.718 0.906 1.440 1.943 3.143 3.707 2.612 2.517 1.415 1.895 2.365 2.998 3.499 8 2.449 2.896 3.355 9 3.250 2.764 3.169 2.398 2.821 2.359 2.328 2.718 3.106 2.303 2.681 3.055 2.282 2.650 3.012 2.264 2.624 2.977 2.249 2.602 2.947 Tove B 0.025 0.02 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 1.156 1.476 2.015 2.571 1.134 2.447 0.711 0.896 1.119 0.706 0.889 1.108 1.397 1.860 2.306 0.703 0.883 1.100 1.383 1.833 2.262 10 0.700 0.879 1.093 1.372 1.812 2.228 11 0.697 0.876 1.088 1.363 1.796 2.201 12 0.695 0.873 1.083 1.356 1.782 2.179 13 0.694 0.870 1.079 1.350 1.771 2.160 14 0.692 0.868 1.076 1.345 1.761 2.145 15 0.691 0.866 1.074 1.341 1.753 2.131 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 21 0.686 0.859 1.063 1.323 1.721 2.080 0.686 0.858 1.061 1.321 1.717 2.074 0.685 0.858 1.060 1.319 1.714 2.069 0.685 0.857 1.059 1.318 1.711 2.064 0.684 0.856 1.058 1.316 0.684 0.856 1.058 1.315 1.706 0.684 0.855 1.057 1.314 1.703 0.683 0.855 1.056 1.313 1.701 0.683 0.854 1.055 1.311 1.699 30 0.683 0.854 1.055 1.310 1.697 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 0.682 0.852 1.052 1.307 1.691 2.032 2.136 2.441 2.728 0.682 0.852 1.052 1.306 1.690 2.030 2.133 2.438 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 0.681 0.851 1.051 1.304 1.686 2.024 2.127 39 0.681 0.851 1.050 1.304 1.685 2.023 2.125 0.681 0.851 1.050 1.303 1.684 2.021 2.123 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 80 0.678 0.846 1.043 1.292 1.664 1.990 90 0.677 0.846 1.042 1.291 1.662 0.677 0.845 1.042 1.290 1.660 0.675 0.842 1.037 1.282 1.646 0.674 0.842 1.036 1.282 1.645 2.189 2.518 2.831 2.183 2.508 2.819 2.177 2.172 1.708 2.060 2.167 2.453 2.744 2.429 2.712 2.426 2.708 40 2.423 2.704 1.987 2.084 1 2 3 4 5 6 7 2522858334268885883595% df 27 100 1000 Z 0.25 Area in right tail 0.20 0.15 0.10 Table VI t-Distribution Area in Right Tail 0.05 0.025 0.01 2.056 2.162 2.052 2.158 2.473 2.048 2.154 2.467 2.045 2.042 2.147 2.457 1.984 2.081 1.962 2.056 1.960 2.054 0.02 Table of t-Distribution Areas Area in Right Tail 0.005 0.0025 0.001 63.657 127.321 318.309 9.925 14.089 22.327 7.453 10.215 5.598 7.173 4.773 5.893 2.583 2.921 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.500 2.807 2.492 2.797 2.485 2.787 2.150 2.462 2.756 2.750 2.479 2.779 2.771 2.763 0.01 4.317 4.029 3.833 3.690 3.581 2.364 2.626 2.330 2.581 2.326 2.576 3.497 3.428 3.372 3.326 3.286 Berwaw 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 2.937 2.915 2.899 2.088 2.374 2.639 2.887 2.368 2.632 2.878 3.047 3.038 3.030 3.022 3.015 3.008 3.002 2.724 2.996 B 3.067 3.435 3.057 3.421 3.408 3.396 3.385 2.990 2.985 2.980 2.976 2.971 2.871 2.813 2.807 5.208 4.785 4.501 4.297 4.144 0.005 0.0025 4.025 3.930 3.852 3.787 3.733 Barce 3.686 3.646 3.610 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.375 3.365 3.356 3.348 3.340 3.333 3.326 3.319 3.313 3.307 3.261 3.232 3.211 3.195 3.183 3.174 3.098 3.090 0.001 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3.496 3.460 3.435 3.416 3.402 3.390 3.300 3.291 0.0005
A simple random sample of size n is drawn. The sample mean, x, is found to be 18.4, and the sample standard deviation, s, is found to be 4.8.
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 95% confidence interval about µ if the sample size, n, is 35.
Lower bound: ; Upper bound:
(Use ascending order. Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 18.4, and the sample standard deviation, s, is found to be 4.8. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about µ if the sample size, n, is 35. Lower bound: ; Upper bound: (Use ascending order. Round to two decimal places as needed.)
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