Determine the critical values for these tests of a population standard deviation. Critical Values for the Chi-Square Distribution (a) A right-tailed test with 18 degrees of freedom at the a = 0.05 level of significance (b) A left-tailed test for a sample of size n= 30 at the a = 0.1 level of significance (c) A two-tailed test for a sample of size n= 24 at the a = 0.01 level of significance Chi-Square (x²) Distribution Area to the Right of Critical Value Click the icon to view a table a critical values for the Chi-Square Distribution. Degrees of Freedom (a) The critical value for this right-tailed test is (Round to three decimal places as needed.) 0.995 0.99 0,975 0,95 0.90 0.10 0.05 0,025 0.01 0.005 0.001 0.051 0.216 0.004 0.103 0.352 0.711 1.145 0.016 0.211 0.584 2.706 4.605 6.251 7.779 9.236 3.841 5.991 7.815 5.024 7.378 9.348 11.143 12.833 6,635 9.210 11.345 13.277 7.879 0.010 0.072 0.207 0.412 0.020 0.115 0.297 0,554 10.597 12.838 14.860 0.484 1.064 9.488 0.831 1.610 11.070 15.086 16.750 0.872 1.239 1.646 2.088 2.558 1.237 1.690 2.180 12.592 14.067 15.507 16.919 18.307 18.548 20.278 21.955 23.589 25.188 0.676 14.449 1.635 2.167 2.733 3.325 3.940 16.812 18.475 20.090 21.666 23.209 2.204 10.645 12.017 13.362 14.684 15.987 6. 7 2833 16.013 17.535 19.023 20.483 0.989 1.344 1.735 2.156 3.490 9 2.700 4.168 10 3.247 4.865 2.603 3.074 3.565 4.075 4.601 3.053 3.571 4.107 3.816 4.404 5.009 5.629 6.262 4.575 5.226 5.892 6.571 7.261 5.578 6.304 7.042 17.275 18.549 19.812 19.675 21.026 22.362 23.685 24.996 21.920 23.337 24.736 26.119 27.488 24.725 26.217 27.688 29.141 30.578 11 26.757 12 28.300 13 7.790 8.547 29.819 31.319 32.801 14 4.660 21.064 15 5.229 22.307 16 17 18 5.142 5.697 6.265 6.844 7.434 23.542 24.769 25.989 27.204 28.412 5.812 6.908 7.564 8.231 7.962 9.312 26.296 27.587 28.869 30.144 31.410 28.845 30.191 31.526 32.852 34.170 32.000 10.085 10.865 11.651 12.443 33.409 34.805 36.191 37.566 34.267 35.718 37.156 38.582 39.997 6.408 8,672 7.015 7.633 8.260 9.390 10.117 10.851 19 8.907 20 9.591 13.240 21 22 23 8.034 8.643 9.260 8,897 9.542 10.283 10.982 11.591 12.338 13.091 29.615 30.813 32.671 33.924 35.172 36.415 37.652 35.479 36.781 38.076 39.364 38.932 40.289 41.401 42.796 14.041 11.689 12.401 13.120 14.848 15.659 16.473 32.007 33.196 34.382 41.638 42.980 44.314 10.196 44.181 10.856 11.524 24 9.886 13.848 45.559 46.928 25 10.520 14.611 40.646
Determine the critical values for these tests of a population standard deviation. Critical Values for the Chi-Square Distribution (a) A right-tailed test with 18 degrees of freedom at the a = 0.05 level of significance (b) A left-tailed test for a sample of size n= 30 at the a = 0.1 level of significance (c) A two-tailed test for a sample of size n= 24 at the a = 0.01 level of significance Chi-Square (x²) Distribution Area to the Right of Critical Value Click the icon to view a table a critical values for the Chi-Square Distribution. Degrees of Freedom (a) The critical value for this right-tailed test is (Round to three decimal places as needed.) 0.995 0.99 0,975 0,95 0.90 0.10 0.05 0,025 0.01 0.005 0.001 0.051 0.216 0.004 0.103 0.352 0.711 1.145 0.016 0.211 0.584 2.706 4.605 6.251 7.779 9.236 3.841 5.991 7.815 5.024 7.378 9.348 11.143 12.833 6,635 9.210 11.345 13.277 7.879 0.010 0.072 0.207 0.412 0.020 0.115 0.297 0,554 10.597 12.838 14.860 0.484 1.064 9.488 0.831 1.610 11.070 15.086 16.750 0.872 1.239 1.646 2.088 2.558 1.237 1.690 2.180 12.592 14.067 15.507 16.919 18.307 18.548 20.278 21.955 23.589 25.188 0.676 14.449 1.635 2.167 2.733 3.325 3.940 16.812 18.475 20.090 21.666 23.209 2.204 10.645 12.017 13.362 14.684 15.987 6. 7 2833 16.013 17.535 19.023 20.483 0.989 1.344 1.735 2.156 3.490 9 2.700 4.168 10 3.247 4.865 2.603 3.074 3.565 4.075 4.601 3.053 3.571 4.107 3.816 4.404 5.009 5.629 6.262 4.575 5.226 5.892 6.571 7.261 5.578 6.304 7.042 17.275 18.549 19.812 19.675 21.026 22.362 23.685 24.996 21.920 23.337 24.736 26.119 27.488 24.725 26.217 27.688 29.141 30.578 11 26.757 12 28.300 13 7.790 8.547 29.819 31.319 32.801 14 4.660 21.064 15 5.229 22.307 16 17 18 5.142 5.697 6.265 6.844 7.434 23.542 24.769 25.989 27.204 28.412 5.812 6.908 7.564 8.231 7.962 9.312 26.296 27.587 28.869 30.144 31.410 28.845 30.191 31.526 32.852 34.170 32.000 10.085 10.865 11.651 12.443 33.409 34.805 36.191 37.566 34.267 35.718 37.156 38.582 39.997 6.408 8,672 7.015 7.633 8.260 9.390 10.117 10.851 19 8.907 20 9.591 13.240 21 22 23 8.034 8.643 9.260 8,897 9.542 10.283 10.982 11.591 12.338 13.091 29.615 30.813 32.671 33.924 35.172 36.415 37.652 35.479 36.781 38.076 39.364 38.932 40.289 41.401 42.796 14.041 11.689 12.401 13.120 14.848 15.659 16.473 32.007 33.196 34.382 41.638 42.980 44.314 10.196 44.181 10.856 11.524 24 9.886 13.848 45.559 46.928 25 10.520 14.611 40.646
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Determine the critical values for these tests of a population standard deviation.
Critical Values for the Chi-Square Distribution
(a) A right-tailed test with 18 degrees of freedom at the a = 0.05 level of significance
(b) A left-tailed test for a sample of size n = 30 at the a = 0.1 level of significance
(c) A two-tailed test for a sample of size n =24 at the a = 0.01 level of significance
Chi-Square (x²) Distribution
Area to the Right of Critical Value
Click the icon to view a table a critical values for the Chi-Square Distribution.
Degrees of
Freedom
(a) The critical value for this right-tailed test is
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
(Round to three decimal places as needed.)
1
2
2.706
4.605
6.251
7.779
9.236
3.841
5.024
7.378
6.635
9.210
11.345
13.277
7.879
10.597
0.001
0.004
0.103
0.352
0.711
0.016
0.211
0.584
1.064
0.010
0.020
0.051
5.991
3
4
0.072
0.207
0.115
0.297
0.554
0.216
0.484
7.815
9.488
11.070
9.348
11.143
12.838
14.860
5
0.412
0.831
1.145
1.610
12.833
15.086
16.750
1.237
1.690
2.180
2.204
2.833
3.490
0.676
0.872
10.645
1.635
2.167
2.733
3.325
3.940
12.592
14.449
16.812
18.548
0.989
1.344
12.017
13.362
14.067
15.507
16.013
17.535
18.475
20.278
21.955
23.589
25.188
7
1.239
8
1.646
20.090
1.735
2.156
2.088
2.558
2.700
3.247
4.168
4.865
14.684
15.987
16.919
18.307
19.023
20.483
21.666
10
23.209
3.053
3.816
4.575
17.275
19.675
26.757
28.300
29.819
31.319
32.801
11
2.603
5.578
21.920
24.725
12
13
3.074
3.565
3.571
4.107
4.404
5.009
18.549
19.812
5.226
5.892
6.571
7.261
6.304
7.042
21.026
22.362
23.337
24.736
26.217
27.688
14
15
4.075
4.601
5.629
6.262
21.064
22.307
4.660
7.790
29.141
23.685
24.996
26.119
5.229
8.547
27.488
30.578
7.962
8.672
9.390
23.54
24.769
25.989
16
5.142
5.812
6.908
9.312
26.296
28.845
32.000
34.267
5.697
6.265
6.844
7.434
7.564
8.231
10.085
10.865
27.587
17
18
6.408
7.015
7.633
30.191
33.409
35.718
37.156
28.869
31.526
34.805
10.117
10.851
32.852
34.170
38.582
19
20
8.907
9.591
11.651
12.443
27.204
30.144
31.410
36.191
37.566
8.260
28.412
39.997
38.932
8.034
8.643
8.897
9.542
10.283
10.982
29.615
21
22
35.479
36.781
11.591
13.240
32.671
33.924
41.401
12.338
14.041
30.813
40.289
42.796
9.260
11.689
32.007
33.196
34.382
23
10.196
13.091
14.848
35.172
36.415
38.076
41.638
44.181
15.659
16.473
10.856
45.559
24
25
9.886
10.520
12.401
13.848
14.611
39.364
40.646
42.980
44.314
11.524
13.120
37.652
46.928
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