Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.10 level of significance based on a sample size of n = 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n = 13. Click here to view the t-Distribution Area in Right Tail. ..... (a) terit = (Round to three decimal places as needed.) (b) terit = (Round to three decimal places as needed.) (c) terit = (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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18

t-Distribution
Arca in Right Tail
df 0.25
0.20
0.15
0.10
0,05
0.025
0.02
0.01
0.005
0.0025
0,001
0,0005
df
1.000
0.816
3
1.963
1.386
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
636,619
31.599
12.924
8.610
6.869
1.376
1.061
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
318.309
22.327
10.215
7.173
5.893
1
12.706
15.894
31.821
1
4.303
3.182
2.776
2571
4.849
3.482
2.999
2.757
6.965
4.541
3.747
3.365
2
2
0.741
5
0.765
4
0.978
0.941
0.920
1.250
1.190
1.156
3
4
0.727
1.134
3.143
2.998
2.896
2.821
2.764
3.707
4.317
4.029
3.833
3.690
3.581
5.208
5.959
5.408
5.041
4.781
0.718
1.440
1.415
1.397
1.383
1.943
2.447
2.612
2.517
2.449
2.398
2.359
6
0.906
6.
2.365
2.306
4.785
4.501
4.297
4.144
7
0.711
0.896
0,889
0,883
0,879
1.119
1.108
1.100
1.895
1.860
1.833
3.499
3.355
3.250
3.169
7
8
8
0.706
0.703
2.262
2.228
9.
10
0.700
1.093
1.372
1.812
4.587
10
0.697
0.695
0.694
1.363
1.356
1.350
1.345
1.796
1.782
1.771
1.761
1.753
3.497
3.428
3.372
4.437
4.318
4.221
0.876
2.201
2.328
2.303
2.282
2.718
3.106
3.055
3.012
2.977
2.947
11
1.088
4.025
11
1.083
1.079
1.076
1.074
2.179
2.160
2.145
2.131
3.930
3.852
3.787
3.733
12
13
0,873
0.870
2.681
2.650
2.624
2.602
12
13
0.692
0.691
2.264
2.249
14
0.868
3.326
3.286
4.140
14
15
0.866
1.341
4.073
15
3.252
3.222
1.071
1.069
0.862 1.067
1.066
2.235
2.224
2.214
2.205
2.583
2.567
2.552
2539
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
16
17
0.690
0.689
0.688
0,865
0,863
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.921
2.898
2.878
2.861
16
17
3.197
3.174
3.153
18
18
0.688
0.687
0.861
0.860
19
19
20
1.064
2.197
2.528
2.845
3.850
20
1.323
1.321
21
22
23
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0,856
1.063
1.061
1.060
1.059
1.319
1.318
1.316
1.721
1.717
1.714
2.080
2.074
2.069
2.189
2.183
2.177
2.172
2.518
2.508
2.500
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
21
22
23
1.711
1.708
2.064
2.060
2.492
2.485
24
24
25
1.058
2.167
25
1.058
1.057
1.056
1.055
1.055
2.162
2.158
2.154
26
0,684
0,684
0.856
0,855
0.855
1.315
1.314
1.313
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.479
2.473
2.467
2.462
2.457
2.779
2.771
3.067
3.057
3.047
3.435
3.421
3.408
3.707
3.690
3.674
26
27
28
27
28
0.683
0.683
0.683
1.311
1.310
2.048
2.045
2.042
2.763
2.756
2.750
29
0.854
2.150
2.147
3.038
3.030
3.396
3.385
3.659
29
30
30
0.854
3.646
1.054
1.054
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
31
32
0.682
0.682
0.682
0.853
0.853
0.853
1.309
1.309
1.308
1,696
1.694
1.692
2.040
2.037
2.144
2.141
2.138
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.022
31
32
1.053
1.052
1.052
2.035
2.032
2.030
3.015
3.008
3.002
2.996
33
33
34
35
0.682
0.682
0.852
0.852
1.307
1.306
1.691
1.690
2.136
2.133
3.601
3.591
34
35
0.852
0.851
0.851
0.851
0.851
1.688
1.687
1.686
1.685
1.684
2.434
2.431
2.429
2.426
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
36
0.681
0.681
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
2.028
2.131
2.129
2.127
2.125
2.123
2.719
2.715
2.712
2.708
2.704
3.582
3.574
36
37
37
0.681
0.681
0.681
2.026
2.024
2.023
2.021
3.566
3.558
3.551
38
39
38
39
40
40
2.423
1.676
1.671
1.667
1.664
1.662
50
0.679
0.679
0.849
1.047
1.299
1.296
2.009
2.000
2.109
2.099
2.403
2.390
2.678
2.660
2.937
3.261
3.496
50
1.045
1.044
1.043
1.042
2.915
2.899
2.887
2.878
3.232
3.211
3.195
3.183
3.460
3.435
3.416
3.402
60
0.848
0.847
0.846
0.846
60
70
0.678
0.678
0.677
1.294
1.292
1.291
1.994
1.990
1.987
2.093
2.088
2.084
2.381
2.374
2.368
2.648
2.639
2.632
70
80
80
90
90
2.871
2.813
2.807
100
0.677
0.845
1.042
1.037
1.036
1.290
1.660
1.984
1.962
1.960
2.081
2.364
2.626
3.174
3.098
3.090
3.390 100
0,842
0,842
1.282
1.282
2.056
2.054
2.330
2.326
2.581
2.576
1000
0.675
0.674
1.646
1.645
3.300 1000
3.291 z
df 0.25
0.20
0.15
0.10
0,05
0,025
0.02
0.01
0.005
0.0025
0,001
0.0005
df
Transcribed Image Text:t-Distribution Arca in Right Tail df 0.25 0.20 0.15 0.10 0,05 0.025 0.02 0.01 0.005 0.0025 0,001 0,0005 df 1.000 0.816 3 1.963 1.386 63.657 9.925 5.841 4.604 4.032 127.321 14.089 7.453 5.598 4.773 636,619 31.599 12.924 8.610 6.869 1.376 1.061 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 318.309 22.327 10.215 7.173 5.893 1 12.706 15.894 31.821 1 4.303 3.182 2.776 2571 4.849 3.482 2.999 2.757 6.965 4.541 3.747 3.365 2 2 0.741 5 0.765 4 0.978 0.941 0.920 1.250 1.190 1.156 3 4 0.727 1.134 3.143 2.998 2.896 2.821 2.764 3.707 4.317 4.029 3.833 3.690 3.581 5.208 5.959 5.408 5.041 4.781 0.718 1.440 1.415 1.397 1.383 1.943 2.447 2.612 2.517 2.449 2.398 2.359 6 0.906 6. 2.365 2.306 4.785 4.501 4.297 4.144 7 0.711 0.896 0,889 0,883 0,879 1.119 1.108 1.100 1.895 1.860 1.833 3.499 3.355 3.250 3.169 7 8 8 0.706 0.703 2.262 2.228 9. 10 0.700 1.093 1.372 1.812 4.587 10 0.697 0.695 0.694 1.363 1.356 1.350 1.345 1.796 1.782 1.771 1.761 1.753 3.497 3.428 3.372 4.437 4.318 4.221 0.876 2.201 2.328 2.303 2.282 2.718 3.106 3.055 3.012 2.977 2.947 11 1.088 4.025 11 1.083 1.079 1.076 1.074 2.179 2.160 2.145 2.131 3.930 3.852 3.787 3.733 12 13 0,873 0.870 2.681 2.650 2.624 2.602 12 13 0.692 0.691 2.264 2.249 14 0.868 3.326 3.286 4.140 14 15 0.866 1.341 4.073 15 3.252 3.222 1.071 1.069 0.862 1.067 1.066 2.235 2.224 2.214 2.205 2.583 2.567 2.552 2539 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 16 17 0.690 0.689 0.688 0,865 0,863 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.921 2.898 2.878 2.861 16 17 3.197 3.174 3.153 18 18 0.688 0.687 0.861 0.860 19 19 20 1.064 2.197 2.528 2.845 3.850 20 1.323 1.321 21 22 23 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0,856 1.063 1.061 1.060 1.059 1.319 1.318 1.316 1.721 1.717 1.714 2.080 2.074 2.069 2.189 2.183 2.177 2.172 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 23 1.711 1.708 2.064 2.060 2.492 2.485 24 24 25 1.058 2.167 25 1.058 1.057 1.056 1.055 1.055 2.162 2.158 2.154 26 0,684 0,684 0.856 0,855 0.855 1.315 1.314 1.313 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.479 2.473 2.467 2.462 2.457 2.779 2.771 3.067 3.057 3.047 3.435 3.421 3.408 3.707 3.690 3.674 26 27 28 27 28 0.683 0.683 0.683 1.311 1.310 2.048 2.045 2.042 2.763 2.756 2.750 29 0.854 2.150 2.147 3.038 3.030 3.396 3.385 3.659 29 30 30 0.854 3.646 1.054 1.054 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 31 32 0.682 0.682 0.682 0.853 0.853 0.853 1.309 1.309 1.308 1,696 1.694 1.692 2.040 2.037 2.144 2.141 2.138 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 31 32 1.053 1.052 1.052 2.035 2.032 2.030 3.015 3.008 3.002 2.996 33 33 34 35 0.682 0.682 0.852 0.852 1.307 1.306 1.691 1.690 2.136 2.133 3.601 3.591 34 35 0.852 0.851 0.851 0.851 0.851 1.688 1.687 1.686 1.685 1.684 2.434 2.431 2.429 2.426 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 36 0.681 0.681 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.028 2.131 2.129 2.127 2.125 2.123 2.719 2.715 2.712 2.708 2.704 3.582 3.574 36 37 37 0.681 0.681 0.681 2.026 2.024 2.023 2.021 3.566 3.558 3.551 38 39 38 39 40 40 2.423 1.676 1.671 1.667 1.664 1.662 50 0.679 0.679 0.849 1.047 1.299 1.296 2.009 2.000 2.109 2.099 2.403 2.390 2.678 2.660 2.937 3.261 3.496 50 1.045 1.044 1.043 1.042 2.915 2.899 2.887 2.878 3.232 3.211 3.195 3.183 3.460 3.435 3.416 3.402 60 0.848 0.847 0.846 0.846 60 70 0.678 0.678 0.677 1.294 1.292 1.291 1.994 1.990 1.987 2.093 2.088 2.084 2.381 2.374 2.368 2.648 2.639 2.632 70 80 80 90 90 2.871 2.813 2.807 100 0.677 0.845 1.042 1.037 1.036 1.290 1.660 1.984 1.962 1.960 2.081 2.364 2.626 3.174 3.098 3.090 3.390 100 0,842 0,842 1.282 1.282 2.056 2.054 2.330 2.326 2.581 2.576 1000 0.675 0.674 1.646 1.645 3.300 1000 3.291 z df 0.25 0.20 0.15 0.10 0,05 0,025 0.02 0.01 0.005 0.0025 0,001 0.0005 df
Complete parts (a) through (c) below.
(a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 15 degrees of freedom.
(b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.10 level of significance based on a sample size of n = 10.
(c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n = 13.
Click here to view the t-Distribution Area in Right Tail.
.....
(a) tcrit
(Round to three decimal places as needed.)
(b) terit =
(Round to three decimal places as needed.)
(c) terit
(Round to three decimal places as needed.)
%3D
Transcribed Image Text:Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.10 level of significance based on a sample size of n = 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n = 13. Click here to view the t-Distribution Area in Right Tail. ..... (a) tcrit (Round to three decimal places as needed.) (b) terit = (Round to three decimal places as needed.) (c) terit (Round to three decimal places as needed.) %3D
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