Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the x = 0.05 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 x = 0.05 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 = 19. Click here to view the t-Distribution Area in Right Tail. (a) tcrit + 1.812 (Round to three decimal places as needed.) (b) crit = 1.761 (Round to three decimal places as needed.) (c) crit (Round to three decimal places as needed.)
Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the x = 0.05 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 x = 0.05 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 = 19. Click here to view the t-Distribution Area in Right Tail. (a) tcrit + 1.812 (Round to three decimal places as needed.) (b) crit = 1.761 (Round to three decimal places as needed.) (c) crit (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
Related questions
Question
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 x = 0.05 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 x = 0.05 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 α = 0.10 level of significance based on a sample size of n = 19.
Click here to view the t-Distribution Area in Right Tail.
(a) terit
(b) tcrit
(c) tcrit
= + 1.812 (Round to three decimal places as needed.)
=
||
1.761 (Round to three decimal places as needed.)
(Round to three decimal places as needed.)
Transcribed Image Text:df
0.25
0.20 0.15
0.10 0.05
1 1.000 1.376 1.963
3.078 6.314
4
5
12.706
2 0.816 1.061 1.386 1.886 2.920 4.303
3 0.765 0.978 1.250 1.638 2.353 3.182
0.741 0.941 1.190 1.533 2.132 2.776
0.727 0.920 1.156 1.476 2.015 2.571
1.134 1.440 1.943 2.447 2.612
1.119 1.415 1.895 2.365 2.517
1.108 1.397 1.860
1.100 1.383 1.833
1.093 1.372 1.812
6
7
8 0.706
9
10
16
17
18
19
20
0.718 0.906
0.711 0.896
0.889
0.703 0.883
0.700 0.879
0.697 0.876
11
12
0.695 0.873
13 0.694 0.870
14 0.692 0.868
15 0.691 0.866
0.690 0.865
0.689 0.863
0.685 0.858
2.492
2.485
1.088 1.363 1.796 2.201 2.328
1.083 1.356 1.782
1.079 1.350 1.771
1.076 1.345 1.761
1.074 1.341 1.753
1.071 1.337 1.746
1.069 1.333 1.740
0.688 0.862 1.067 1.330 1.734 2.101 2.214
0.688 0.861 1.066 1.328 1.729 2.093 2.205
0.687
0.860
1.064 1.325 1.725 2.086
2.197
21 0.686 0.859 1.063 1.323 1.721 2.080 2.189
22 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508
23
1.060 1.319 1.714 2.069 2.177 2.500
24 0.685 0.857 1.059 1.318 1.711 2.064 2.172
25 0.684 0.856 1.058 1.316 1.708 2.060 2.167
26 0.684 0.856 1.058 1.315 1.706 2.056 2.162
27 0.684 0.855 1.057 1.314 1.703 2.052 2.158
28 0.683 0.855 1.056 1.313 1.701 2.048 2.154
29 0.683 0.854 1.055 1.311 1.699 2.045 2.150
30 0.683
0.854
1.055 1.310 1.697 2.042 2.147
31 0.682 0.853 1.054 1.309 1.696 2.040 2.144
32 0.682 0.853 1.054 1.309 1.694
2.037 2.141 2.449
33 0.682 0.853 1.053
1.308 1.692 2.035 2.138 2.445
34 0.682 0.852 1.052 1.307 1.691 2.032
35 0.682 0.852 1.052 1.306 1.690 2.030
0.681 0.852 1.052 1.306 1.688
2.028
0.681 0.851 1.051 1.305 1.687 2.026
1.051 1.304 1.686
1.050 1.304 1.685
1.303 1.684
36
37
38 0.681 0.851
2.024
39 0.681 0.851
2.023
40 0.681 0.851 1.050
2.021
50 0.679 0.849
60 0.679 0.848
0.678 0.847
0.678 0.846
0.677 0.846
70
80
90
100
1000
df
0.677 0.845
0.675 0.842
0.674 0.842
0.25 0.20
1.047 1.299 1.676
1.045 1.296 1.671
1.044 1.294 1.667
1.043 1.292 1.664
1.042 1.291 1.662
t-Distribution
Area in Right Tail
1.290 1.660
1.282 1.646
1.645
0.10 0.05
1.042
1.037
1.036 1.282
0.15
0.025 0.02
3.143
3.707
2.998
3.499
2.896
3.355
2.449
2.398 2.821 3.250
3.169
3.106
2.306
2.262
2.228 2.359 2.764
2.718
2.179 2.303 2.681 3.055
2.160 2.282 2.650 3.012
2.145 2.264 2.624 2.977
2.131 2.249 2.602 2.947
2.120 2.235 2.583 2.921
2.110 2.224 2.567 2.898
2.552 2.878
2.009
2.000
0.01 0.005 0.0025
127.321
14.089
7.453
5.598
4.773
1.994
1.990
1.987
15.894 31.821 63.657
4.849 6.965 9.925
3.482 4.541 5.841
2.999 3.747 4.604
2.757 3.365 4.032
1.984
1.962
1.960
0.025
2.539 2.861
2.528
2.845
2.518 2.831
2.819
2.807
2.797
2.787
2.479 2.779
2.473 2.771
2.467 2.763
2.462
2.756
2.457 2.750
2.453 2.744
2.738
2.733
2.136 2.441 2.728
2.133 2.438 2.724
2.131
2.719
2.434
2.431 2.715
2.129
2.127 2.429 2.712
2.125
2.426 2.708
2.123
2.423
2.704
2.109
2.403 2.678
2.099
2.390 2.660
2.093 2.381 2.648
2.088 2.374 2.639
2.084
2.368
2.632
2.081
2.364
2.626
2.056 2.330
2.581
2.054
2.326
2.576
0.02
0.01 0.005
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.067
3.057
3.047
3.038
3.030
3.022
3.015
3.008
3.002
2.996
2.990
2.985
2.980
2.976
2.971
2.937
2.915
2.899
2.887
2.878
2.871
2.813
2.807
0.0025
0.001
318.309
22.327
10.215
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.375
3.365
3.356
3.348
3.340
3.333
3.326
3.319
3.313
3.307
3.261
3.232
3.211
3.195
3.183
3.174
3.098
3.090
0.001
0.0005 df
636.619
1
31.599
2
12.924 3
8.610
6.869
5.959
6
5.408 7
5.041
8
4.781
9
4.587 10
4.437
4.318
4.140
4.221 13
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.582
3.574
3.566
3.558
3.551
3.460
12BH5 KD8920 212324 25 26789期 12路M5 M初8买= M0佣卵
3.633 31
3.622 32
3.611 33
3.601 34
3.591
3.435
11
3.416
3.402
14
16
17
18
19
30
35
36
37
3.496 50
38
39
40
60
70
80
90
3.390 100
3.300 1000
3.291 z
0.0005 df
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