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 10 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.01 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 = 0.10 level of significance based on a sample size of n = 16. Click here to view the t-Distribution Area in Right Tail. (a) tcrit = (Round to three decimal places as needed.) (b) tcrit (Round to three decimal places as needed.) %3D (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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Question
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 10 degrees of freedom.
(b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.01 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 = 0.10 level of significance based on a sample size of n = 16.
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) terit =
(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 = 0.01 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 = 0.01 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 = 0.10 level of significance based on a sample size of n = 16. 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) terit = (Round to three decimal places as needed.)
1-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
0.0005
df
12.706
4.303
3.182
2.776
63657
9.925
5.841
4.604
1.963
1.
0.816
1.376
LO61
0.978
0.941
0.920
378
1.886
1638
1.533
6.314
2.920
2.353
2.132
2.015
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
127.321
14.089
7.453
5.598
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
1000
1.386
1.250
1.190
L156
3
0.765
4
0.741
0.727
1.476
2571
3.365
4.032
4.773
6.869
0.718
0.711
0.706
0.703
3.143
2.98
2.896
2.821
2.764
4.317
4.029
3.833
3.690
0.906
1.134
1.40
1.943
L895
1860
2.447
2612
3.707
5.208
4.785
4.501
5.959
1.415
1.397
1.383
2.365
2.306
2.262
2.228
2.517
2.449
2.398
2.359
3499
3.355
3.250
3.169
5.408
5.041
4.781
4.587
0.896
0.889
LI19
1.108
1.100
0.883
0.879
1833
L812
4.297
10
1093
1.372
3.581
4.144
10
1.088
11
12
13
2.201
2179
2.160
2.145
2131
0.697
0.695
0.876
1.363
1.796
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2624
2.602
3.106
3.497
4.025
3.930
3.852
3.787
3.733
1.356 1.782
1350
1.771
3.055
3.012
3.428
3.372
4.437
4318
11
12
13
14
15
0.694
0.692
0.691
0.870
0.868
O.866
1.079
1076
L074
2.977
2.947
3.326
3.286
4.221
4.140
4.073
1.345
1.761
14
15
1.341
1.753
2.921
3.252
3.222
3.197
3.174
0.865
0.863
4.015
3.965
1071
1.337
1.333
1.330
1.328
1.325
2120
2110
2101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.189
2.183
2.177
2.172
2.167
2.583
2.567
2.552
2539
16
17
0.690
0.689
1.746
1740
3.686
3646
3.610
3.579
16
17
1.069
L067
L066
L064
0.862
18
19
0.688
0.688
1.734
2.878
3.922
18
1.729
3.883
061
0.860
2861
2.845
19
20
0.687
1.725
2528
3.153
3.552
3.850
20
21
22
O.R59
0.8S8
1063
1.323
1.321
1319
1318
1.721
1.717
1714
1.711
1.708
2.080
2.074
2518
2508
2.831
2.819
2.807
2.797
3.135
3.119
3.104
3091
3A78
3.527
3.505
3.819
3.792
3.768
3.745
3.725
3.707
21
22
0.66
0.686
23
24
LO60
1059
LASS
2069
2.064
2500
2.492
2.4R5
3.4KS
3.467
23
24
0.685
2.787
2.779
2.771
2.763
2.756
2.750
25
0.684
1.316
2060
3.450
25
2479
2473
2.467
26
0684
0.684
0683
0.683
0.683
1.315
L314
1.706
1.703
2.06
2.052
2048
2045
2042
2.162
2.158
3.067
3435
3.421
3.408
26
27
28
0.855
1O57
3057
3.047
3.038
3030
3.690
27
28
0.855
0.854
O.KS4
1313
1.311
1310
1.701
1699
L697
2.154
2.150
2.147
3674
3.659
3.646
29
2.462
2457
3.396
3.385
29
30
30
L055
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
31
0.682
0.682
O.RS3
O.853
O.853
O.R52
0.R52
1054
1.309
L696
2.040
2.144
2.141
2.138
2.453
2.449
2.445
2.744
3.022
3.015
3.008
31
LOS4
1053
LOS2
1.052
L694
1692
L691
1.600
32
33
1.309
1.308
2037
2.035
2.738
2.733
32
33
34
35
0.682
0.682
0.682
1307
1.306
2032
2.030
2.136
2.133
2.441
2438
2.728
2.724
3.002
2.996
34
35
0.681
0.681
0.681
0.681
0.681
3.582
3.574
3.566
3.558
3.551
1306
L688
1687
1.686
L685
1684
2434
2431
2.429
2.426
2.423
2.403
36
37
0.852
0.851
0.851
O.851
O.851
1052
2.028
2.131
2.719
2.990
3.333
36
2.026
2.024
2.023
2.021
2.129
2.127
2.125
2.123
2.715
2.712
2.708
2.704
2.988
2.980
2.976
2.971
3.326
3.319
3.313
3.307
37
38
39
40
1305
38
1051
LO50
LA50
1304
1.304
1303
39
40
L047
1045
L044
1043
2009
2.000
3.496
3.460
0.679
0.679
0.678
0.678
1.299
1296
1294
1.292
1291
1.676
L671
1667
1.664
L662
2.109
2.099
2678
2.660
2.937
2.915
3.261
3.232
50
O.849
50
60
60
0.848
2.390
2093
2.088
2.084
2.381
2.374
2.368
70
0.847
0.846
1.994
1.990
1.987
2.648
2639
2632
2.899
287
3.211
3.195
3.183
3.435
3.416
70
90
0.677
0.846
1042
2878
3.402
90
1.984
1.962
1960
0.677
0.845
1042
1.290
1282
1282
2.081
2,056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2871
2.813
2.807
3.174
3.098
3.00
100
3.390 100
1660
1646
1645
1000
0.675
0.674
0.842
0.842
LO37
LA36
3.300 1000
3.291
JP
0.25
0.20
0.15
0.10
0.025
0.02
0.0025
0.0005
df
%3D
Transcribed Image Text:1-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 0.0005 df 12.706 4.303 3.182 2.776 63657 9.925 5.841 4.604 1.963 1. 0.816 1.376 LO61 0.978 0.941 0.920 378 1.886 1638 1.533 6.314 2.920 2.353 2.132 2.015 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 127.321 14.089 7.453 5.598 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 1000 1.386 1.250 1.190 L156 3 0.765 4 0.741 0.727 1.476 2571 3.365 4.032 4.773 6.869 0.718 0.711 0.706 0.703 3.143 2.98 2.896 2.821 2.764 4.317 4.029 3.833 3.690 0.906 1.134 1.40 1.943 L895 1860 2.447 2612 3.707 5.208 4.785 4.501 5.959 1.415 1.397 1.383 2.365 2.306 2.262 2.228 2.517 2.449 2.398 2.359 3499 3.355 3.250 3.169 5.408 5.041 4.781 4.587 0.896 0.889 LI19 1.108 1.100 0.883 0.879 1833 L812 4.297 10 1093 1.372 3.581 4.144 10 1.088 11 12 13 2.201 2179 2.160 2.145 2131 0.697 0.695 0.876 1.363 1.796 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2624 2.602 3.106 3.497 4.025 3.930 3.852 3.787 3.733 1.356 1.782 1350 1.771 3.055 3.012 3.428 3.372 4.437 4318 11 12 13 14 15 0.694 0.692 0.691 0.870 0.868 O.866 1.079 1076 L074 2.977 2.947 3.326 3.286 4.221 4.140 4.073 1.345 1.761 14 15 1.341 1.753 2.921 3.252 3.222 3.197 3.174 0.865 0.863 4.015 3.965 1071 1.337 1.333 1.330 1.328 1.325 2120 2110 2101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.189 2.183 2.177 2.172 2.167 2.583 2.567 2.552 2539 16 17 0.690 0.689 1.746 1740 3.686 3646 3.610 3.579 16 17 1.069 L067 L066 L064 0.862 18 19 0.688 0.688 1.734 2.878 3.922 18 1.729 3.883 061 0.860 2861 2.845 19 20 0.687 1.725 2528 3.153 3.552 3.850 20 21 22 O.R59 0.8S8 1063 1.323 1.321 1319 1318 1.721 1.717 1714 1.711 1.708 2.080 2.074 2518 2508 2.831 2.819 2.807 2.797 3.135 3.119 3.104 3091 3A78 3.527 3.505 3.819 3.792 3.768 3.745 3.725 3.707 21 22 0.66 0.686 23 24 LO60 1059 LASS 2069 2.064 2500 2.492 2.4R5 3.4KS 3.467 23 24 0.685 2.787 2.779 2.771 2.763 2.756 2.750 25 0.684 1.316 2060 3.450 25 2479 2473 2.467 26 0684 0.684 0683 0.683 0.683 1.315 L314 1.706 1.703 2.06 2.052 2048 2045 2042 2.162 2.158 3.067 3435 3.421 3.408 26 27 28 0.855 1O57 3057 3.047 3.038 3030 3.690 27 28 0.855 0.854 O.KS4 1313 1.311 1310 1.701 1699 L697 2.154 2.150 2.147 3674 3.659 3.646 29 2.462 2457 3.396 3.385 29 30 30 L055 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 31 0.682 0.682 O.RS3 O.853 O.853 O.R52 0.R52 1054 1.309 L696 2.040 2.144 2.141 2.138 2.453 2.449 2.445 2.744 3.022 3.015 3.008 31 LOS4 1053 LOS2 1.052 L694 1692 L691 1.600 32 33 1.309 1.308 2037 2.035 2.738 2.733 32 33 34 35 0.682 0.682 0.682 1307 1.306 2032 2.030 2.136 2.133 2.441 2438 2.728 2.724 3.002 2.996 34 35 0.681 0.681 0.681 0.681 0.681 3.582 3.574 3.566 3.558 3.551 1306 L688 1687 1.686 L685 1684 2434 2431 2.429 2.426 2.423 2.403 36 37 0.852 0.851 0.851 O.851 O.851 1052 2.028 2.131 2.719 2.990 3.333 36 2.026 2.024 2.023 2.021 2.129 2.127 2.125 2.123 2.715 2.712 2.708 2.704 2.988 2.980 2.976 2.971 3.326 3.319 3.313 3.307 37 38 39 40 1305 38 1051 LO50 LA50 1304 1.304 1303 39 40 L047 1045 L044 1043 2009 2.000 3.496 3.460 0.679 0.679 0.678 0.678 1.299 1296 1294 1.292 1291 1.676 L671 1667 1.664 L662 2.109 2.099 2678 2.660 2.937 2.915 3.261 3.232 50 O.849 50 60 60 0.848 2.390 2093 2.088 2.084 2.381 2.374 2.368 70 0.847 0.846 1.994 1.990 1.987 2.648 2639 2632 2.899 287 3.211 3.195 3.183 3.435 3.416 70 90 0.677 0.846 1042 2878 3.402 90 1.984 1.962 1960 0.677 0.845 1042 1.290 1282 1282 2.081 2,056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2871 2.813 2.807 3.174 3.098 3.00 100 3.390 100 1660 1646 1645 1000 0.675 0.674 0.842 0.842 LO37 LA36 3.300 1000 3.291 JP 0.25 0.20 0.15 0.10 0.025 0.02 0.0025 0.0005 df %3D
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