10. Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 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 = 0.05 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 = 0.10 level of significance based on a sample size of n = 13. 4 Click here to view the t-Distribution Area in Right Tail. (a) terit = (1) (Round to three decimal places as needed.) (b) terit = (2) (Round to three decimal places as needed.) (c) tcrit = (3). (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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Related questions
Question
10.
Complete parts (a) through (c) below.
(a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 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 = 0.05 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 = 0.10 level of significance based on a
sample size of n = 13.
4
Click here to view the t-Distribution Area in Right Tail.
(a) terit = (1)
(Round to three decimal places as needed.)
(b) tcrit = (2)
(Round to three decimal places as needed.)
(c) tcrit = (3).
(Round to three decimal places as needed.)
Transcribed Image Text:10. Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 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 = 0.05 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 = 0.10 level of significance based on a sample size of n = 13. 4 Click here to view the t-Distribution Area in Right Tail. (a) terit = (1) (Round to three decimal places as needed.) (b) tcrit = (2) (Round to three decimal places as needed.) (c) tcrit = (3). (Round to three decimal places as needed.)
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
di
1.000
0.816
3
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
63.657
9.925
5.841
4.604
4.032
1
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
127.321
14.089
7.453
5.598
4.773
318.309
22.327
636.619
31.599
12.924
8.610
6.869
1
0.765
0.741
0.727
10.215
7.173
5.893
4
2.015
0.718
0.711
0.706
0.703
0.700
2.447
2.365
2.306
2.262
2.228
3.707
3.499
3.355
3.250
3.169
0.906
1.134
1.119
1.108
1.100
1.093
2.612
2.517
2.449
2.398
2.359
3.143
1.440
1.415
1.397
1.383
1.943
1.895
1.860
4.317
4.029
3.833
3.690
3.581
5.959
5.408
5.041
4.781
4.587
6.
5.208
4.785
4.501
4.297
4.144
0.896
0.889
2.998
2.896
2.821
2.764
8
9
1.833
0.883
0.879
10
1.372
1.812
10
2.328
2.303
2.282
2.264
2.249
0.697
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
0.876
11
12
13
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
11
0.695
0.694
0.692
0.873
0.870
0.868
0.866
12
13
14
15
14
15
0.691
0.690
0.689
0.688
0.865
0.863
1.337
1.069 1.333
1.067 1.330
1.066
1.746
1.740
1.734
1.729
1.725
1.071
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
3.252
3.222
4.015
3.965
3.922
3.883
3.850
2.583
2.567
2.921
2.898
2.878
2.861
2.845
3.686
3.646
3.610
10
17
18
16
17
18
19
20
0.862
0.861
0.860
2.552
2539
2.528
3.197
3.174
3.153
0.688
1.328
3.579
19
0.687
1.064
1.325
3.552
20
21
22
23
24
25
0.686
0.686
0.685
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
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
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
21
23
24
25
0.685
0.684
2.797
2.787
0.684
0.684
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.706
1.703
1.701
1.699
1.697
2.479
2.473
2.467
2.462
2.457
3.067
3.057
3.047
3.707
3.690
3.674
3.659
3.646
1.315
26
27
28
29
30
1.314
1.313
1.311
1.310
2.056
2.052
2.048
2.045
2.042
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
27
28
29
34
3.038
3.030
0.682
0.682
0.682
0.682
0.682
0.853
0.853
0.853
0.852
0.852
1.054
1.054
1.053
1.052
1.052
3.022
3.015
3.008
3.002
2.996
2.144
1.309
1.309
1.308
1.307
1.306
2.040
2.037
2.035
2.032
2.030
2.453
31
32
33
34
35
1.696
1.694
1.692
1.691
1.690
2.141
2.138
2.136
2.133
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
31
32
33
34
35
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
1.684
2.719
2.715
2.712
2.708
2.704
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
0.681
0.852
36
37
38
39
40
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.434
2.431
2.429
2.426
2.423
2.990
2.985
2.980
2.976
2.971
34
31
38
34
40
0.681
0.851
0.681 0.851
0.681
0.851
0.681
0.851
2.123
0.679
0.679
0.678
0.678
0.677
1.047
1.045
1.044
1.043
1.042
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.678
2.937
2.915
2.899
2.887
2.878
50
0.849
0.848
0.847
0.846
0.846
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2.403
2.390
2.381
2.374
2.368
3.261
3.232
3.211
3.195
3.496
3.460
3.435
3.416
3.402
50
2.660
2.648
2.639
2.632
60
60
70
80
70
80
90
3.183
90
0.845
0.842
0.842
1.984
1.962
1.960
2.626
2.581
2.576
0.677
1.042
1.290
1.282
1.282
1.660
1.646
1.645
2.081
2.056
2.054
2.364
3.174
3.098
3.090
100
3.390
2.871
2.813
2.807
100
0.675
0.674
1.037
1.036
1000
2.330
2.326
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
di
(1)
(2)
(3)
+
000
H +
000
I + +
000
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 di 1.000 0.816 3 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 63.657 9.925 5.841 4.604 4.032 1 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 127.321 14.089 7.453 5.598 4.773 318.309 22.327 636.619 31.599 12.924 8.610 6.869 1 0.765 0.741 0.727 10.215 7.173 5.893 4 2.015 0.718 0.711 0.706 0.703 0.700 2.447 2.365 2.306 2.262 2.228 3.707 3.499 3.355 3.250 3.169 0.906 1.134 1.119 1.108 1.100 1.093 2.612 2.517 2.449 2.398 2.359 3.143 1.440 1.415 1.397 1.383 1.943 1.895 1.860 4.317 4.029 3.833 3.690 3.581 5.959 5.408 5.041 4.781 4.587 6. 5.208 4.785 4.501 4.297 4.144 0.896 0.889 2.998 2.896 2.821 2.764 8 9 1.833 0.883 0.879 10 1.372 1.812 10 2.328 2.303 2.282 2.264 2.249 0.697 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 0.876 11 12 13 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 11 0.695 0.694 0.692 0.873 0.870 0.868 0.866 12 13 14 15 14 15 0.691 0.690 0.689 0.688 0.865 0.863 1.337 1.069 1.333 1.067 1.330 1.066 1.746 1.740 1.734 1.729 1.725 1.071 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 3.252 3.222 4.015 3.965 3.922 3.883 3.850 2.583 2.567 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 10 17 18 16 17 18 19 20 0.862 0.861 0.860 2.552 2539 2.528 3.197 3.174 3.153 0.688 1.328 3.579 19 0.687 1.064 1.325 3.552 20 21 22 23 24 25 0.686 0.686 0.685 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 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 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 21 23 24 25 0.685 0.684 2.797 2.787 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.706 1.703 1.701 1.699 1.697 2.479 2.473 2.467 2.462 2.457 3.067 3.057 3.047 3.707 3.690 3.674 3.659 3.646 1.315 26 27 28 29 30 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 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 27 28 29 34 3.038 3.030 0.682 0.682 0.682 0.682 0.682 0.853 0.853 0.853 0.852 0.852 1.054 1.054 1.053 1.052 1.052 3.022 3.015 3.008 3.002 2.996 2.144 1.309 1.309 1.308 1.307 1.306 2.040 2.037 2.035 2.032 2.030 2.453 31 32 33 34 35 1.696 1.694 1.692 1.691 1.690 2.141 2.138 2.136 2.133 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 31 32 33 34 35 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 1.685 1.684 2.719 2.715 2.712 2.708 2.704 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 0.681 0.852 36 37 38 39 40 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.434 2.431 2.429 2.426 2.423 2.990 2.985 2.980 2.976 2.971 34 31 38 34 40 0.681 0.851 0.681 0.851 0.681 0.851 0.681 0.851 2.123 0.679 0.679 0.678 0.678 0.677 1.047 1.045 1.044 1.043 1.042 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.678 2.937 2.915 2.899 2.887 2.878 50 0.849 0.848 0.847 0.846 0.846 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.403 2.390 2.381 2.374 2.368 3.261 3.232 3.211 3.195 3.496 3.460 3.435 3.416 3.402 50 2.660 2.648 2.639 2.632 60 60 70 80 70 80 90 3.183 90 0.845 0.842 0.842 1.984 1.962 1.960 2.626 2.581 2.576 0.677 1.042 1.290 1.282 1.282 1.660 1.646 1.645 2.081 2.056 2.054 2.364 3.174 3.098 3.090 100 3.390 2.871 2.813 2.807 100 0.675 0.674 1.037 1.036 1000 2.330 2.326 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 di (1) (2) (3) + 000 H + 000 I + + 000
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