Determine the critical values for these test of a population standard deviation. a. A right tail test with 13° of freedom at the standard deviation = 0.01 level of significance. b. A left tailed test for a sample of size n= 27 at the standard

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Determine the critical values for these test of a population standard deviation.

a. A right tail test with 13° of freedom at the standard deviation = 0.01 level of significance.

b. A left tailed test for a sample of size n= 27 at the standard deviation = 0.05 level of significance.

c. A two tailed test for a sample of size n=31 at the standard deviation = 0.1 level of significance.

 

Determine the critical values for these tests of a population standard deviation.
(a) A right-tailed test with 13 degrees of freedom at the a= 0.01 level of significance
(b)A left-tailed test for a sample of size n= 27 at the a 0.05 level of significance
(c)A two-tailed test for a sample of size n= 31 at the a = 0.1 level of significance
E 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.)
(b) The critical value for this left-tailed test is
(Round to three decimal places as needed.)
(c) The critical values for this two-tailed test are
(Round to three decimal places as needed Use a comma to separate answers as needed.)
Transcribed Image Text:Determine the critical values for these tests of a population standard deviation. (a) A right-tailed test with 13 degrees of freedom at the a= 0.01 level of significance (b)A left-tailed test for a sample of size n= 27 at the a 0.05 level of significance (c)A two-tailed test for a sample of size n= 31 at the a = 0.1 level of significance E 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.) (b) The critical value for this left-tailed test is (Round to three decimal places as needed.) (c) The critical values for this two-tailed test are (Round to three decimal places as needed Use a comma to separate answers as needed.)
Chi-Square (x) 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
7.879
10.597
3.841
5.991
7.815
9.488
11.070
5.024
7.378
9.348
11.143
12.833
6.635
9.210
1
2,
3.
4
0.010
0.072
0.207
0.412
0.020
0.115
0,297
0.554
0.001
0.051
0.216
0.484
0.831
0.004
0.103
0.352
0.711
1.145
0.016
0.211
0.584
1.064
1.610
2.706
4.605
6.251
7.779
9,236
11.345
13.277
15.086
12.838
14.860
16.750
14.449
16.013
17.535
19.023
20.483
18.548
20.278
21.955
23.589
25.188
16.812
9.
7.
8.
6.
10
0676
0.989
1.344
1.735
2.156
0.872
1.239
1.646
2.088
2.558
1.237
1.690
2.180
2.700
3.247
1635
2167
2.733
3,325
3.940
2.204
2.833
B.490
4.168
4.865
10.645
12.017
13.362
14.684
15.987
12.592
14.067
15.507
16.919
18.307
18.475
20.090
21.666
23.209
19.675
21.026
22.362
24.725
26.217
27.688
26.757
28.300
29.819
21.920
4.575
5.226
5.892
5.578
6.304
7042
17.275
18.549
19.812
3,816
11
12
13
2.603
3.074
3.565
3.053
3.571
4.107
4.404
5.009
23.337
24.736
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Transcribed Image Text:Chi-Square (x) 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 7.879 10.597 3.841 5.991 7.815 9.488 11.070 5.024 7.378 9.348 11.143 12.833 6.635 9.210 1 2, 3. 4 0.010 0.072 0.207 0.412 0.020 0.115 0,297 0.554 0.001 0.051 0.216 0.484 0.831 0.004 0.103 0.352 0.711 1.145 0.016 0.211 0.584 1.064 1.610 2.706 4.605 6.251 7.779 9,236 11.345 13.277 15.086 12.838 14.860 16.750 14.449 16.013 17.535 19.023 20.483 18.548 20.278 21.955 23.589 25.188 16.812 9. 7. 8. 6. 10 0676 0.989 1.344 1.735 2.156 0.872 1.239 1.646 2.088 2.558 1.237 1.690 2.180 2.700 3.247 1635 2167 2.733 3,325 3.940 2.204 2.833 B.490 4.168 4.865 10.645 12.017 13.362 14.684 15.987 12.592 14.067 15.507 16.919 18.307 18.475 20.090 21.666 23.209 19.675 21.026 22.362 24.725 26.217 27.688 26.757 28.300 29.819 21.920 4.575 5.226 5.892 5.578 6.304 7042 17.275 18.549 19.812 3,816 11 12 13 2.603 3.074 3.565 3.053 3.571 4.107 4.404 5.009 23.337 24.736 Print Done
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