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) torit = (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

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) terit =
(Round to three decimal places as needed.)
(b) tcrit =
(Round to three decimal places as needed.)
(c) tcrit =
(Round to three decimal places as needed.)
+
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. E Click here to view the t-Distribution Area in Right Tail. ..... (a) terit = (Round to three decimal places as needed.) (b) tcrit = (Round to three decimal places as needed.) (c) tcrit = (Round to three decimal places as needed.) +
t-Distribution
Area 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
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
318.309
22.327
10.215
7.173
5.893
1
1.000
1.376
1.963
1.386
1.250
1.190
1.156
3.078
6.314
2.920
2.353
2.132
12.706
127.321
636,619
1
0.816
3.
0,765
4.
0.741
0.727
1.886
1.638
1.533
1.476
4.303
3.182
2.776
2571
14.089
7.453
5.598
4.773
2.
1.061
0.978
0.941
0.920
31.599
2
12.924
8.610
6.869
3
2.015
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
6.
6.
8
4.781
10
0.879
4.587
10
0.697
0.695
0.694
0.692
0.691
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
11
0.876
1.088
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
4.437
11
0.873
0,870
1.083
1.079
12
4.318
4.221
4.140
4.073
12
13
13
0.868
0.866
14
1.076
14
15
1.074
15
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
3.252
3.222
3.197
3.174
3.153
4.015
3.965
3.922
3.883
3.850
0.690
0.689
0.865
0.863
0.862
0.861
0.860
1.071
1.069
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.686
3.646
3.610
3.579
3.552
16
17
16
17
18
0.688
1.067
2.214
18
0.688
1.066
1.064
2.205
2.197
19
19
20
0.687
20
0.686
0.686
2.080
2.074
0.859
0,858
0.858
0857
0.856
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
21
22
3.135
3.119
3.527
3.505
3.485
3.467
3.450
3.819
3.792
21
22
0.685
0.685
0.684
2.069
2.064
2.060
3.768
3.745
3.725
23
3.104
3.091
3.078
23
24
1.059
24
25
1.058
25
0856
0,855
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
3.707
3.690
3.674
3.659
3.646
3.067
3.057
26
0,684
1.058
2.162
2.158
2.154
2.150
2.147
2.779
2.771
2.763
2.756
2.750
3.435
3.421
3.408
3.396
3.385
26
1.057
1.056
1.055
1.055
27
0.684
27
28
0,683
3.047
28
3.038
3.030
0,683
29
30
29
30
0.683
0.853
0.853
0.853
0.852
0.852
1.309
1.309
1.308
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
3.375
3.365
3.356
3.633
3.622
3.611
3.601
3.591
31
0.682
1.054
1.696
31
1.054
1.053
1.052
1.052
32
0.682
0.682
0.682
0.682
1.694
1.692
1.691
1.690
32
33
33
34
35
1.307
1.306
3.348
34
35
2.996
3.340
0,852
0.851
0.851
0.851
0.851
1.306
1.305
1.304
1.304
1.303
2.434
2.431
2.429
2.426
2.423
3.333
3.326
3.319
3.313
3.307
3.582
3.574
36
0.681
1.052
1.051
1.051
1.050
1.050
1.688
2.028
2.131
2.129
2.127
2.125
2.123
2.719
2.715
2.712
2.708
2.704
2.990
2.985
36
37
37
0.681
1.687
2.026
38
39
0.681
1.686
1.685
1.684
2.024
2.980
3.566
38
39
0.681
0,681
2.023
2.021
2.976
2.971
3.558
3.551
40
40
1.299
1.296
1.294
1.292
1.291
2.009
2.678
0.679
0.679
0,678
0.678
0.677
1.047
1.045
1.044
1.043
1.042
1.676
1.671
1.667
1.664
2.109
2.099
2.093
2.088
2.084
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
0.849
2.403
50
0,848
0,847
0,846
0.846
2.000
1.994
1.990
2.390
2.381
2.374
2.368
2.660
2.648
2.639
2.632
60
60
70
70
80
80
90
1.662
1.987
90
0.677
0.675
0.674
0,845
0.842
0,842
1.290
1.282
1.282
3.390 100
3.300 1000
3.291 z
100
1.042
1.037
1.036
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2,807
3.174
3.098
3.090
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 Area 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 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 318.309 22.327 10.215 7.173 5.893 1 1.000 1.376 1.963 1.386 1.250 1.190 1.156 3.078 6.314 2.920 2.353 2.132 12.706 127.321 636,619 1 0.816 3. 0,765 4. 0.741 0.727 1.886 1.638 1.533 1.476 4.303 3.182 2.776 2571 14.089 7.453 5.598 4.773 2. 1.061 0.978 0.941 0.920 31.599 2 12.924 8.610 6.869 3 2.015 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 6. 6. 8 4.781 10 0.879 4.587 10 0.697 0.695 0.694 0.692 0.691 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 11 0.876 1.088 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 4.437 11 0.873 0,870 1.083 1.079 12 4.318 4.221 4.140 4.073 12 13 13 0.868 0.866 14 1.076 14 15 1.074 15 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 3.252 3.222 3.197 3.174 3.153 4.015 3.965 3.922 3.883 3.850 0.690 0.689 0.865 0.863 0.862 0.861 0.860 1.071 1.069 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 16 17 16 17 18 0.688 1.067 2.214 18 0.688 1.066 1.064 2.205 2.197 19 19 20 0.687 20 0.686 0.686 2.080 2.074 0.859 0,858 0.858 0857 0.856 1.063 1.061 1.060 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 21 22 3.135 3.119 3.527 3.505 3.485 3.467 3.450 3.819 3.792 21 22 0.685 0.685 0.684 2.069 2.064 2.060 3.768 3.745 3.725 23 3.104 3.091 3.078 23 24 1.059 24 25 1.058 25 0856 0,855 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 3.707 3.690 3.674 3.659 3.646 3.067 3.057 26 0,684 1.058 2.162 2.158 2.154 2.150 2.147 2.779 2.771 2.763 2.756 2.750 3.435 3.421 3.408 3.396 3.385 26 1.057 1.056 1.055 1.055 27 0.684 27 28 0,683 3.047 28 3.038 3.030 0,683 29 30 29 30 0.683 0.853 0.853 0.853 0.852 0.852 1.309 1.309 1.308 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 3.375 3.365 3.356 3.633 3.622 3.611 3.601 3.591 31 0.682 1.054 1.696 31 1.054 1.053 1.052 1.052 32 0.682 0.682 0.682 0.682 1.694 1.692 1.691 1.690 32 33 33 34 35 1.307 1.306 3.348 34 35 2.996 3.340 0,852 0.851 0.851 0.851 0.851 1.306 1.305 1.304 1.304 1.303 2.434 2.431 2.429 2.426 2.423 3.333 3.326 3.319 3.313 3.307 3.582 3.574 36 0.681 1.052 1.051 1.051 1.050 1.050 1.688 2.028 2.131 2.129 2.127 2.125 2.123 2.719 2.715 2.712 2.708 2.704 2.990 2.985 36 37 37 0.681 1.687 2.026 38 39 0.681 1.686 1.685 1.684 2.024 2.980 3.566 38 39 0.681 0,681 2.023 2.021 2.976 2.971 3.558 3.551 40 40 1.299 1.296 1.294 1.292 1.291 2.009 2.678 0.679 0.679 0,678 0.678 0.677 1.047 1.045 1.044 1.043 1.042 1.676 1.671 1.667 1.664 2.109 2.099 2.093 2.088 2.084 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 50 0.849 2.403 50 0,848 0,847 0,846 0.846 2.000 1.994 1.990 2.390 2.381 2.374 2.368 2.660 2.648 2.639 2.632 60 60 70 70 80 80 90 1.662 1.987 90 0.677 0.675 0.674 0,845 0.842 0,842 1.290 1.282 1.282 3.390 100 3.300 1000 3.291 z 100 1.042 1.037 1.036 1.660 1.646 1.645 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2,807 3.174 3.098 3.090 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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