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 = 0.01 level of significance based on a sample size of n = 11.
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 = 0.01 level of significance based on a sample size of n = 11.
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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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 = 0.05 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 = 0.01 level of significance based on a sample size of n = 11.
Click here to view the t-Distribution Area in Right Tail.
(a) tcrit
(Round to three decimal places as needed.)
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Transcribed Image Text:oution
Area in Right Tail
df
1.25
0.20
0.15
0.10
0.05
0.025
0.02
0,01
0.0025
0.001
0.0005
df
12.706
4.303
3.182
2.776
2.571
1.000
1.376
1.061
0.978
0.941
1.963
3.078
1.886
6.314
15.894
4.849
3.482
2.999
31.821
63.657
127.321
14.089
7.453
5.598
4.773
318.309
636.619
0.816
0.765
4.
1.386
1.250
1.190
1.156
31.599
12.924
8.610
6.869
2.920
6.965
4.541
3.747
9.925
S841
4.604
4.032
22.327
1638
1.533
1.476
2.353
2.132
2.015
10.215
7.173
3
0.741
in
0.727
0.920
2.757
3.365
5,893
5.959
5.408
5.041
4.781
4.587
0.718
5.208
4.785
4.501
0.906
1.134
1.440
1.415
1.397
1.943
2.447
2.612
2.517
2.449
2.398
3.143
3.707
3.499
3.355
3.250
3.169
4.317
2.365
2.306
2.262
7.
0.711
0.896
0.89
0,883
0.879
L119
1.108
1.100
1.895
1860
L833
1812
2.998
2.896
2.821
2.764
4.029
3.833
3.690
0.706
0.703
0.700
1383
4.297
4.144
10
1093
1.372
2.228
2.359
3.581
10
1363
1356
1350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
0.697
0.695
0.876
2.328
2.718
3.106
3.497
4.025
3.930
3.852
3.787
3.733
4.437
12
13
0.873
0.870
2.303
2.282
2.681
2.650
3.055
3.012
I1
12
13
3.428
3.372
3.326
3.286
4318
4.221
0.694
0.692
0.691
L079
14
15
L076
L074
2.145
2.131
2.264
2.249
2.977
2.947
2.624
4.140
4.073
14
15
0.866
2.602
L071
1069
3.252
3.222
3.197
3.174
3.153
3.135
3.119
0.865
O.63
0.862
1337
1.333
1.746
1.740
2.120
2.110
2.101
2093
2.086
2.235
2.224
2.214
2.205
2.197
2.5K3
2.567
2.552
2539
2528
2.921
2.898
2.878
4.015
3.965
3.922
3.883
16
17
0.690
3.686
3.646
16
17
0.689
0.688
0.688
3.610
3.579
3.552
18
1.067
1.330
1.734
18
0.61
0,860
1066
1064
1.328
1.325
1.729
1.725
2.861
2.845
19
19
20
0,687
3.850
20
O.859
0858
1.063
1.061
L060
1059
1OSK
1.323
1.321
1319
1318
1.721
1.717
2.080
2.074
2.069
2.064
2.189
2.183
2518
2508
2.831
2.819
3.527
3.505
3.4RS
3.467
3.819
3.792
21
22
21
0.686
0.685
0.685
0.684
22
23
24
1.714
1.711
2.177
2.172
2500
2.492
2.485
2.17
2.797
3.104
3.091
3.078
3.768
3.745
23
24
0857
25
1.316
1. 708
2.060
2.167
2.787
3450
3.725
25
0.684
0.684
0.683
2.162
2.158
2.154
2. 150
2.147
26
27
1.058
1.057
1.315
1.314
1.313
1311
1310
1.706
L703
1.701
1.699
1.697
2.056
2.052
2479
2473
2.467
2.462
2457
2.779
2.771
2.763
3.067
3435
3.421
3.408
3.707
0855
0.855
3.057
3.047
26
27
28
3.690
28
29
30
0.683
0.683
0.854
0.854
2.048
2.045
2.042
3674
3.659
3.646
1.055
2.756
2.750
3.038
3.030
3.396
3.385
29
30
1054
LAS4
1.053
2.040
2.037
2.035
2.032
2.030
31
0.682
0.853
1.309
1696
2.144
2.453
2.744
3.022
3.375
3.365
3.356
3.348
3.340
3633
31
1.309
1.308
2.738
0.853
0.853
O.852
0.852
L694
1.692
1691
1.690
2.449
2.445
2441
2438
32
33
0.682
0,682
2141
2.138
3.015
3.008
3622
3.611
32
33
2.733
34
35
0.682
0.682
LO52
1O52
1.307
1306
2.136
2.133
2.728
2.724
3.002
2.996
3.601
3.591
34
35
0.681
0.681
0.681
0.681
0.681
2.028
2.026
2.024
2.023
2.021
2.434
2431
2.429
2426
36
37
0,852
1.052
1.051
1.051
1.050
1050
1.30
1.305
1.304
1304
1.303
1.688
2.131
2.719
2.990
3.58
36
37
2.985
2.980
2.976
2.971
3.326
38
39
40
O.851
0.851
0.851
0.851
1687
1686
1.685
1.684
2129
2.127
2125
2123
2.715
2.712
2.708
2.704
3.319
3.313
3.307
3.574
3.566
3.558
3.551
38
39
40
2423
0.679
0.679
0.678
0.678
1299
1.296
2678
1.676
1671
L667
1.664
L662
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.403
2.390
2.937
2.915
3.261
3.232
3.211
3.195
3.183
50
0.849
0.848
1047
3.496
3.460
50
60
1045
1044
1043
2.660
0.847
0.846
2.381
2.374
2.368
3.435
3.416
3.402
70
1.294
1.292
1291
2.093
2.088
2.648
2639
2.632
2.899
2.87
2.878
70
90
0.677
0.846
LO42
2.084
90
0.677
0.675
0.674
0.845
0.842
0.842
1042
L037
1290
1282
1.282
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2626
2.581
2.576
2.871
2.813
2.807
3.174
3.390
3.300 1000
3.291 :
100
1660
1.646
1645
100
3.098
3.090
1000
df
1.25
0,20
0.15
0.10
0.025
0.02
0.0025
0.0005
df
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