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.)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2d4d80-cdb0-43d9-af03-99b246cbf538%2Ffab61131-6810-419f-904c-899e182ad0a7%2Frmg746ul_processed.png&w=3840&q=75)
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2d4d80-cdb0-43d9-af03-99b246cbf538%2Ffab61131-6810-419f-904c-899e182ad0a7%2F4kyxw8p_processed.png&w=3840&q=75)
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