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 20 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 = 0.10 level of significance based on a sample size of n= 13. E Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) tent = (Round to three decimal places as needed.) Area in Right Tail (b) terit = (Round to three decimal places as needed.) df 0.25 0.20 0.15 0.10 0.05 0.025 0,02 0.01 0,005 0.0025 (c) terit = (Round to three decimal places as needed.) 63.657 9.925 127.321 1.000 0816 1.376 1.061 1.963 1.386 3.078 1.886 6.314 2.920 12.706 4.303 15.894 31.821 4.849 6.965 14.089
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 20 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 = 0.10 level of significance based on a sample size of n= 13. E Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) tent = (Round to three decimal places as needed.) Area in Right Tail (b) terit = (Round to three decimal places as needed.) df 0.25 0.20 0.15 0.10 0.05 0.025 0,02 0.01 0,005 0.0025 (c) terit = (Round to three decimal places as needed.) 63.657 9.925 127.321 1.000 0816 1.376 1.061 1.963 1.386 3.078 1.886 6.314 2.920 12.706 4.303 15.894 31.821 4.849 6.965 14.089
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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 20 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= 0.10 level of significance based on a sample size of n= 13.
Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) terit =
(Round to three decimal places as needed.)
Arca in Right Tail
(b) tcrit =
(Round to three decimal places as needed.)
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
(c) terit
(Round to three decimal places as needed.)
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
6.869
1
1.000
0.816
0.765
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
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
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
1
6.314
2.920
2.353
2.132
2.015
3
0.741
0.727
3
4
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
5.959
5.408
5.041
4.781
4.587
0.718
1.440
1.415
1.397
1.383
1.372
0.906
1.943
1.895
1.860-
1.833
1.812
1.134
7
0.711
0.896
0.889
0.883
0.879
1.119
1.108
8.
8.
0.706
9.
0.703
6.
1.100
1.093
10
0.700
4.144
10
1.363
1.356
1.350
1.345
1.341
2.328
2.303
2.282
2.264
2.249
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
0.695
0.694
0.692
2.718
2.681
2.650
2.624
2.602
11
0.876
3.497
1.088
1.083
1.079
1.076
1.074
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
12
13
3.428
3.372
3.326
3.286
12
13
0.873
0.870
0.868
0.866
4.140
14
15
2.145
2.131
14
15
0.691
4.073
16
17
1.337
1.333.
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.921
2.898
3.252
3.222
3.197
3.174
3.153
4.015
3.965
3.922
3.883
3.850
16
17
0.690
0.689
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2539
2.528
3.686
3.646
18
0.688
2.878
2.861
2.845
3.610
3.579
3.552
18
19
20
19
0.688
20
0.687
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
1.058
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
21
22
2.189
2.183
23
24
25
2.177
2.172
2.167
2518
2.508
2.500
2.492
2.485
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
24
25
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
1.315
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
2.162
2.158
2.154
2.150
2.147
26
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
3.707
3.435
3.421
3.408
3.396
3.385
26
27
3.690
3.674
3.659
3.646
27
28
29
30
28
29
30
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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 20 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= 0.10 level of significance based on a sample size of n= 13.
Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) terit =
(Round to three decimal places as needed.)
Arca in Right Tail
(b) tcrit =
(Round to three decimal places as needed.)
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
(c) terit
(Round to three decimal places as needed.)
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
6.869
1
1.000
0.816
0.765
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
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
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
1
6.314
2.920
2.353
2.132
2.015
3
0.741
0.727
3
4
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
5.959
5.408
5.041
4.781
4.587
0.718
1.440
1.415
1.397
1.383
1.372
0.906
1.943
1.895
1.860-
1.833
1.812
1.134
7
0.711
0.896
0.889
0.883
0.879
1.119
1.108
8.
8.
0.706
9.
0.703
6.
1.100
1.093
10
0.700
4.144
10
1.363
1.356
1.350
1.345
1.341
2.328
2.303
2.282
2.264
2.249
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
0.695
0.694
0.692
2.718
2.681
2.650
2.624
2.602
11
0.876
3.497
1.088
1.083
1.079
1.076
1.074
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
12
13
3.428
3.372
3.326
3.286
12
13
0.873
0.870
0.868
0.866
4.140
14
15
2.145
2.131
14
15
0.691
4.073
16
17
1.337
1.333.
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.921
2.898
3.252
3.222
3.197
3.174
3.153
4.015
3.965
3.922
3.883
3.850
16
17
0.690
0.689
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2539
2.528
3.686
3.646
18
0.688
2.878
2.861
2.845
3.610
3.579
3.552
18
19
20
19
0.688
20
0.687
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
1.058
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
21
22
2.189
2.183
23
24
25
2.177
2.172
2.167
2518
2.508
2.500
2.492
2.485
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
24
25
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
1.315
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
2.162
2.158
2.154
2.150
2.147
26
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
3.707
3.435
3.421
3.408
3.396
3.385
26
27
3.690
3.674
3.659
3.646
27
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![MA
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 20 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= 0.10 level of significance based on a sample size of n= 13.
E Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) terit =
(Round to three decimal places as needed.)
%3D
17
0.007
U.003
1007
1.740
2.070
2.552
2.539
2528
2.878
2.861
2.845
3.197
3.174
3.153
3.610
3.579
3.552
3.922
3.883
3.850
18
18
19
20
2.101
2.093
2.086
2.214
2.205
2.197
0.688
0.862
0.861
0.860
1.067
1.066
1.064
1.330
1.328
1.325
1.734
1.729
1.725
(b) tcrit =
(Round to three decimal places as needed.)
0.688
19
0.687
20
(c) tcrit
(Round to three decimal places as needed.)
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
%3D
2.189
2.183
2.177
2.172
2.167
1.063
1.061
1.060
1.059
1.058
1.058
1.057
1.056
1.055
1.055
21
22
23
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
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
2518
2.508
2.500
2.492
2.485
24
25
24
25
3.067
3.057
3.047
3.038
3.030
3.707
3.690
3.674
26
0.856
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
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.435
3.421
3.408
26
27
0.684
0.684
27
28
28
29
30
0.683
0.683
0.683
3.396
3.385
3.659
3.646
29
30
3.022
3.015
3.008
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
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
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
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
2.744
2.738
2.733
2.728
2.724
31
32
32
33
33
34
35
2.441
2.438
3.002
2.996
34
35
2.719
2.715
2.712
2.708
2.704
3.582
3.574
3.566
3.558
3.551
36
0.681
0.681
0.681
0.681
0.681
0.852
0.851
0.851
0.851
0.851
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
2.028
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
36
37
37
38
39
40
38
39
3.307
40
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
0.849
0.848
0.847
0.846
0.846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
2.403
0.679
0.679
0.678
0.678
0.677
50
2.390
2.381
2.374
2.368
60
60
70
70
80
80
90
90
0.845
0.842
0.842
1.042
1.037
1.036
1290
1.282
1.282
2.081
2.056
2.054
2.364
2.330
2.326
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300 1000
3.291 z
100
0.677
0.675
0.674
1.660
1.646
1.645
1.984
1.962
1.960
2.626
2.581
2.576
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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Transcribed Image Text:MA
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 20 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= 0.10 level of significance based on a sample size of n= 13.
E Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) terit =
(Round to three decimal places as needed.)
%3D
17
0.007
U.003
1007
1.740
2.070
2.552
2.539
2528
2.878
2.861
2.845
3.197
3.174
3.153
3.610
3.579
3.552
3.922
3.883
3.850
18
18
19
20
2.101
2.093
2.086
2.214
2.205
2.197
0.688
0.862
0.861
0.860
1.067
1.066
1.064
1.330
1.328
1.325
1.734
1.729
1.725
(b) tcrit =
(Round to three decimal places as needed.)
0.688
19
0.687
20
(c) tcrit
(Round to three decimal places as needed.)
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
%3D
2.189
2.183
2.177
2.172
2.167
1.063
1.061
1.060
1.059
1.058
1.058
1.057
1.056
1.055
1.055
21
22
23
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
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
2518
2.508
2.500
2.492
2.485
24
25
24
25
3.067
3.057
3.047
3.038
3.030
3.707
3.690
3.674
26
0.856
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
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.435
3.421
3.408
26
27
0.684
0.684
27
28
28
29
30
0.683
0.683
0.683
3.396
3.385
3.659
3.646
29
30
3.022
3.015
3.008
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
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
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
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
2.744
2.738
2.733
2.728
2.724
31
32
32
33
33
34
35
2.441
2.438
3.002
2.996
34
35
2.719
2.715
2.712
2.708
2.704
3.582
3.574
3.566
3.558
3.551
36
0.681
0.681
0.681
0.681
0.681
0.852
0.851
0.851
0.851
0.851
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
2.028
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
36
37
37
38
39
40
38
39
3.307
40
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
0.849
0.848
0.847
0.846
0.846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
2.403
0.679
0.679
0.678
0.678
0.677
50
2.390
2.381
2.374
2.368
60
60
70
70
80
80
90
90
0.845
0.842
0.842
1.042
1.037
1.036
1290
1.282
1.282
2.081
2.056
2.054
2.364
2.330
2.326
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300 1000
3.291 z
100
0.677
0.675
0.674
1.660
1.646
1.645
1.984
1.962
1.960
2.626
2.581
2.576
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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