Determine the critical values for these tests of a population standard deviation. (a) A right-tailed test with 11 degrees of freedom at the a = 0.1 level of significance (b) A left-tailed test for a sample of size n = 25 at the a = 0.05 level of significance (c) A two-tailed test for a sample of size n = 30 at the a= 0.01 level of significance Click the icon to view a table a critical values for the Chi-Square Distribution. (a) The critical value for this right-tailed test is (Round to three decimal places as needed.)

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Author:Amos Gilat
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Please answer parts A, B and C.

Determine the critical values for these tests of a population standard deviation.
(a) A right-tailed test with 11 degrees of freedom at the a = 0.1 level of significance
(b) A left-tailed test for a sample of size n=25 at the a = 0.05 level of significance
(c) A two-tailed test for a sample of size n = 30 at the a = 0.01 level of significance
Click the icon to view a table a critical values for the Chi-Square Distribution.
(a) The critical value for this right-tailed test is
(Round to three decimal places as needed.)
Transcribed Image Text:Determine the critical values for these tests of a population standard deviation. (a) A right-tailed test with 11 degrees of freedom at the a = 0.1 level of significance (b) A left-tailed test for a sample of size n=25 at the a = 0.05 level of significance (c) A two-tailed test for a sample of size n = 30 at the a = 0.01 level of significance Click the icon to view a table a critical values for the Chi-Square Distribution. (a) The critical value for this right-tailed test is (Round to three decimal places as needed.)
Critical Values for the Chi-Square Distribution
Chi-Square (x³) Distribution
Area to the Right of Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0,01
0.005
0.016
0.211
5.024
7.378
6.635
0.001
0.051
0.004
0.103
7.879
10.597
2.706
3.841
5.991
0.010
0.020
4.605
9.210
0.072
0.207
0.216
0.484
0.831
0.352
7.815
9.488
9.348
0.115
0.297
0.584
1.064
6.251
7.779
11.345
13.277
12.838
14.860
0.711
11.143
0.412
0.554
1.145
1.610
9.236
11.070
12.833
15.086
16.750
0.676
0.872
1.237
1.635
2.204
10.645
12.592
14.449
16.812
18.548
1.239
2.167
2.733
3.325
3.940
12.017
13.362
16.013
17.535
7
0.989
1.344
1.735
2.156
1.690
2.180
2.700
3.247
2.833
3.490
4.168
4.865
14.067
15.507
18.475
20.090
20.278
21.955
23.589
25.188
1.646
2.088
2.558
14.684
15.987
16.919
18.307
19.023
20.483
21.666
23.209
10
19.675
21.026
22.362
11
2.603
3.053
3.816
4.575
5.578
17.275
21.920
24.725
26.757
4.404
5.009
5.226
5.892
6.571
7.261
12
13
3.074
3.565
3.571
4.107
18.549
19.812
6.304
7.042
7.790
8.547
23.337
24.736
26.217
27.688
29.141
30.578
28.300
29.819
14
15
4.660
5.229
23.685
24.996
31.319
32.801
4.075
5.629
6.262
21.064
22.307
26.119
4.601
27.488
6.908
7.564
8.231
8.907
9.591
7.962
8.672
9.390
5.812
9.312
10.085
10.865
16
5.142
23.542
26.296
28.845
34.267
17
18
5.697
6.265
32.000
33.409
34.805
24.769
25.989
27.204
28.412
6.408
7.015
35.718
37.156
27.587
28.869
30.144
31.410
30.191
31.526
19
20
6.844
7.434
7.633
8.260
10.117
10.851
11.651
12.443
36.191
37.566
38.582
39.997
32.852
34.170
8.034
8.643
8.897
9.542
11.591
12.338
29.615
30.813
32.671
35.479
36.781
38.932
40.289
21
10.283
13.240
14.041
41.401
42.796
22
10.982
33.924
38.076
39.364
44.181
45.559
23
9.260
10.196
11.689
13.091
14.848
32.007
35.172
41.638
10.856
11.524
13.848
14.611
42.980
44.314
24
9.886
10.520
12.401
13.120
15.659
16.473
33.196
34.382
36.415
37.652
25
40.646
46.928
1234n
Transcribed Image Text:Critical Values for the Chi-Square Distribution Chi-Square (x³) Distribution Area to the Right of Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0,01 0.005 0.016 0.211 5.024 7.378 6.635 0.001 0.051 0.004 0.103 7.879 10.597 2.706 3.841 5.991 0.010 0.020 4.605 9.210 0.072 0.207 0.216 0.484 0.831 0.352 7.815 9.488 9.348 0.115 0.297 0.584 1.064 6.251 7.779 11.345 13.277 12.838 14.860 0.711 11.143 0.412 0.554 1.145 1.610 9.236 11.070 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 1.239 2.167 2.733 3.325 3.940 12.017 13.362 16.013 17.535 7 0.989 1.344 1.735 2.156 1.690 2.180 2.700 3.247 2.833 3.490 4.168 4.865 14.067 15.507 18.475 20.090 20.278 21.955 23.589 25.188 1.646 2.088 2.558 14.684 15.987 16.919 18.307 19.023 20.483 21.666 23.209 10 19.675 21.026 22.362 11 2.603 3.053 3.816 4.575 5.578 17.275 21.920 24.725 26.757 4.404 5.009 5.226 5.892 6.571 7.261 12 13 3.074 3.565 3.571 4.107 18.549 19.812 6.304 7.042 7.790 8.547 23.337 24.736 26.217 27.688 29.141 30.578 28.300 29.819 14 15 4.660 5.229 23.685 24.996 31.319 32.801 4.075 5.629 6.262 21.064 22.307 26.119 4.601 27.488 6.908 7.564 8.231 8.907 9.591 7.962 8.672 9.390 5.812 9.312 10.085 10.865 16 5.142 23.542 26.296 28.845 34.267 17 18 5.697 6.265 32.000 33.409 34.805 24.769 25.989 27.204 28.412 6.408 7.015 35.718 37.156 27.587 28.869 30.144 31.410 30.191 31.526 19 20 6.844 7.434 7.633 8.260 10.117 10.851 11.651 12.443 36.191 37.566 38.582 39.997 32.852 34.170 8.034 8.643 8.897 9.542 11.591 12.338 29.615 30.813 32.671 35.479 36.781 38.932 40.289 21 10.283 13.240 14.041 41.401 42.796 22 10.982 33.924 38.076 39.364 44.181 45.559 23 9.260 10.196 11.689 13.091 14.848 32.007 35.172 41.638 10.856 11.524 13.848 14.611 42.980 44.314 24 9.886 10.520 12.401 13.120 15.659 16.473 33.196 34.382 36.415 37.652 25 40.646 46.928 1234n
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