Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.10 level of significance with 10 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= 15. (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. E 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) tcrit = (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

Complete parts (a) through (c) below.
(a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.10 level of significance with 10 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 = 15.
(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) tcrit
(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 = 0.10 level of significance with 10 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 = 15. (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) tcrit (Round to three decimal places as needed.) %3D
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
3.078
1.886
1.638
1.533
1.476
15.894
4.849
3.482
2.999
2.757
63.657
9.925
5,841
4.604
4.032
1.963
6.314
2.920
2.353
31.821
6.965
4.541
3.747
3.365
127.321
318.309
22.327
10.215
7.173
5.893
1
1.000
1.376
12.706
636.619
31.599
12.924
8.610
6.869
1
0.816
0,765
0.741
0.727
1.061
0.978
0.941
0.920
1.386
4.303
14.089
7.453
5.598
4.773
3
1.250
1.190
3.182
2.776
2.571
3
2.132
2.015
1.156
0.718
0.711
8
1.440
1.415
1.397
1.383
1.372
3.707
3.499
3.355
3.250
3.169
5.959
5.408
5.041
4.781
4.587
0.906
1.134
1.943
4.317
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
3.143
2.998
2.896
5.208
4.785
4.501
6.
6
0,896
0,889
1.119
1.108
1.895
1.860
4.029
3.833
0.706
0.703
0.700
8
0.883
0.879
1.100
1.093
1.833
1.812
2.398
2.359
2.821
2.764
3.690
3.581
4.297
9
10
4.144
10
2.201
2.179
2.160
2.145
2.131
3.106
3.055
3.012
2.977
2.947
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
11
0.697
0.876
1.088
1.363
1.796
2.328
2.303
2.282
2.264
2.249
2.718
3.497
3.428
3.372
3.326
3.286
11
0,873
0.870
0.695
0,694
0.692
0.691
1.083
1.079
1.076
1.074
1.356
1.350
1.345
1.341
1.782
1.771
1.761
1.753
2.681
2.650
2.624
2.602
12
13
12
13
0.868
0.866
4.140
4.073
14
14
15
15
0.865
0,863
0.862
0,861
0.860
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.583
2.567
2.552
2.539
2.528
0.690
0,689
1.071
1.069
1.067
1.066
1.064
2.921
2.898
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
3.252
3.222
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
16
17
16
17
0.688
0.688
0.687
18
2.878
3.197
18
19
20
2.861
2.845
3.174
3.153
19
20
0.686
0.686
0.685
0,685
0.684
0.859
0.858
0,858
0.857
0,856
1.323
1.321
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.831
2.819
2.807
2.797
2.787
21
22
1.063
1.061
1.060
1.059
1.058
1.721
1.717
1.714
1.711
1.708
2518
2.508
2.500
2.492
2.485
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
1.319
1.318
1.316
23
23
24
24
25
25
1.058
1.057
0.684
0.684
0.683
0,683
0.683
0.856
0855
0.855
0,854
0,854
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
26
2.162
2.158
26
27
27
28
1.056
1.055
1.055
2.154
28
29
30
2.150
2.147
29
30
1.054
1.054
1.053
1.052
1.052
1.309
0.682
0.682
0.682
0.682
0.682
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
31
0.853
1.696
31
32
0.853
0.853
0.852
0.852
1.309
1.308
1.307
1.306
1.694
1.692
1.691
1.690
32
33
33
34
35
34
35
1.306
1.305
1.304
1.304
1.303
2.719
2.715
2.712
2.708
2.704
36
0.681
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.431
2.429
2.426
2.423
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
36
37
0.681
37
38
39
0.681
0.681
3.566
38
39
3.558
3.551
40
0.681
40
0.679
0.679
0.678
0.678
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
1.987
2.678
2.937
2.915
2.899
2,887
3.496
0.849
0,848
0,847
0.846
0.846
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
3.261
3.232
3.211
3.195
3.183
50
50
2.660
2.648
2.639
2.632
60
3.460
3.435
3.416
3.402
60
70
70
80
80
90
0.677
2.368
2.878
90
0.677
0.675
0.674
0,845
0.842
0.842
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300 1000
3.291 z
100
1.042
1.037
1.036
2.364
2.330
2.326
100
1000
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 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 63.657 9.925 5,841 4.604 4.032 1.963 6.314 2.920 2.353 31.821 6.965 4.541 3.747 3.365 127.321 318.309 22.327 10.215 7.173 5.893 1 1.000 1.376 12.706 636.619 31.599 12.924 8.610 6.869 1 0.816 0,765 0.741 0.727 1.061 0.978 0.941 0.920 1.386 4.303 14.089 7.453 5.598 4.773 3 1.250 1.190 3.182 2.776 2.571 3 2.132 2.015 1.156 0.718 0.711 8 1.440 1.415 1.397 1.383 1.372 3.707 3.499 3.355 3.250 3.169 5.959 5.408 5.041 4.781 4.587 0.906 1.134 1.943 4.317 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 3.143 2.998 2.896 5.208 4.785 4.501 6. 6 0,896 0,889 1.119 1.108 1.895 1.860 4.029 3.833 0.706 0.703 0.700 8 0.883 0.879 1.100 1.093 1.833 1.812 2.398 2.359 2.821 2.764 3.690 3.581 4.297 9 10 4.144 10 2.201 2.179 2.160 2.145 2.131 3.106 3.055 3.012 2.977 2.947 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 11 0.697 0.876 1.088 1.363 1.796 2.328 2.303 2.282 2.264 2.249 2.718 3.497 3.428 3.372 3.326 3.286 11 0,873 0.870 0.695 0,694 0.692 0.691 1.083 1.079 1.076 1.074 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.681 2.650 2.624 2.602 12 13 12 13 0.868 0.866 4.140 4.073 14 14 15 15 0.865 0,863 0.862 0,861 0.860 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.583 2.567 2.552 2.539 2.528 0.690 0,689 1.071 1.069 1.067 1.066 1.064 2.921 2.898 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 3.252 3.222 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 17 16 17 0.688 0.688 0.687 18 2.878 3.197 18 19 20 2.861 2.845 3.174 3.153 19 20 0.686 0.686 0.685 0,685 0.684 0.859 0.858 0,858 0.857 0,856 1.323 1.321 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.831 2.819 2.807 2.797 2.787 21 22 1.063 1.061 1.060 1.059 1.058 1.721 1.717 1.714 1.711 1.708 2518 2.508 2.500 2.492 2.485 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 1.319 1.318 1.316 23 23 24 24 25 25 1.058 1.057 0.684 0.684 0.683 0,683 0.683 0.856 0855 0.855 0,854 0,854 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 2.162 2.158 26 27 27 28 1.056 1.055 1.055 2.154 28 29 30 2.150 2.147 29 30 1.054 1.054 1.053 1.052 1.052 1.309 0.682 0.682 0.682 0.682 0.682 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 31 0.853 1.696 31 32 0.853 0.853 0.852 0.852 1.309 1.308 1.307 1.306 1.694 1.692 1.691 1.690 32 33 33 34 35 34 35 1.306 1.305 1.304 1.304 1.303 2.719 2.715 2.712 2.708 2.704 36 0.681 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.051 1.050 1.050 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2.434 2.431 2.429 2.426 2.423 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 36 37 0.681 37 38 39 0.681 0.681 3.566 38 39 3.558 3.551 40 0.681 40 0.679 0.679 0.678 0.678 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 2.678 2.937 2.915 2.899 2,887 3.496 0.849 0,848 0,847 0.846 0.846 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 3.261 3.232 3.211 3.195 3.183 50 50 2.660 2.648 2.639 2.632 60 3.460 3.435 3.416 3.402 60 70 70 80 80 90 0.677 2.368 2.878 90 0.677 0.675 0.674 0,845 0.842 0.842 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 1000 3.291 z 100 1.042 1.037 1.036 2.364 2.330 2.326 100 1000 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
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