For a chi-squared distribution, find the following quantities. (Refer to table A.5 in your book.) (a) X3.95 when v = 14. (b) x.10 when v = 10. (c) X3.90 when v = 1. (d) Determine the value of a such that x² = 18.137 when ✓ = 23.

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740
Table A.5 (continued) Critical Values of the Chi-Squared Distribution
26
27
28
29
V
0.025 0.02
5.412
3.841
3.841
5.024
7.824
7.378
0.001
2.706
0.005
7.879 10.827
1.323
1.642
1.074
4.605
2.773 3.219
5.991
9.210 10.597 13.815
2.408
3.665
5.0
GU
4,0 4.878 5.385 5.989 7.779 9.488 11.1430 11.668 13.277 14.860 18.466
4.108 4.642 6.251 7.815 9.348 9.837 11.345 12.838 16.266
6.064 6.626 7.289 9.236 11.070 12.832 13.388 15.086 16.750 20.515
7 8.383 9.037 9.803 12.017 14.067 16.013.0 16.622 1.18.475 20.278 24.321
86 7.2310 7.841 8.558 10.645 12.592 14.449.0 15.033 0.016.812 0 18.548 01 22.457
88 9.524 10.219 11.030 13.362 15.5070 17.535.0 18.168.20.090 21.955 26.124
19. 10.656 11.389 12.242 14.684 16.919 19.023 0 19.679.021.666 23.589 27.877
13.442 15.987 18.307 20.483 21.161 23.209 25.188 29.588
11 12.899 13.701 14.631 17.275 19.675 21.920 22.618 24.725 26.757 31.264
12 14.0118 14.845 15.812 18.549 21.026 23.337 24.0540 26.217 28.300 32.909
13 15.119 15.984 16.985 19.812
24.736 25.471 27.6880 29.819 34.527
23.685 26.119 26.873 0.29.141 31.319 36.124
30.57832.801 37.698
10 11.781 12.549
@
@
14 16.222
15 17.322
17.117
18.245
16 18.418 19.369
17 S 19.5110 20.489
18.8 20.6010 21.605
19 21.689 22.718
20 22.775 23.828
18.151 21.064
19.311 22.307 24.996 27.488 28.259
12
20.465
21.615 24.769
22.760 25.989
23.900 I 27.204
23.900 27.204
25.038 28.412
23.542 26.296 28.845 29.633 32.000 34.267 39.252
27.587 30.191 30.995 33.409 0 35.718 40.791
28.869 31.526 32.346 34.805 37.156 42.312
30.144 32.852 33.687 36.1919 38.582 1043.819
31.410 34.170 35.020 37.566 39.997 45.314
V
32.671 35.479 36.343
33.924 36.7818 37.659
32.007 35.172
36.415
37.652 40.646
21
29.615
38.932 41.4010 46.796
22
30.813
40.289 10 42.796 48.268
23
38.076
38.076 38.968
41.638 44.181 49.728
39.364 40.270 42.980 45.558 51.179
24
33.196
25
34.382
123
0.30
0.25
0.20
23.858 24.935
26.171
24.939 26.039
27.301
26.018 27.141 28.429
27.096 28.241
29.553
28.172 29.339
30.675
0.10
a
0.05
0.01
6.635
oofs
29.246 30.435
31.795
35.563
30.319
30.319
31.528
32.912
31.391 32.620
34.027
32.461 33.711 35.139 39.087 42.557
41.566
6ec4 44.31468 46.92852.619
38.885 41.923 42.856 45.642 48.290 54.051
36.741 40.113 43.195 44.140 46.963 49.645 00 55.475
37.916 41.337 44.461 45.419 48.278 50.994 56.892
42.557 45.722 46.693 49.588 52.335 00 58.301
30 33.530 34.800 36.250 40.256 43.773 46.979 47.962 50.892 53.672 59.702
40 44.165 45.616 47.269 51.805 55.758 59.342 60.436 63.691 66.766073.403
50
54.723 56.334
58.164 63.167
67.505 71.420
72.613 76.154 79.490 86.660
60 65.226 66.981 68.972 74.397 79.082 83.298 84.58 88.379 91.952 99.608
08.312 819.M
88.89 PUISS
TOT.CS
384.78
tee.rs of
Transcribed Image Text:740 Table A.5 (continued) Critical Values of the Chi-Squared Distribution 26 27 28 29 V 0.025 0.02 5.412 3.841 3.841 5.024 7.824 7.378 0.001 2.706 0.005 7.879 10.827 1.323 1.642 1.074 4.605 2.773 3.219 5.991 9.210 10.597 13.815 2.408 3.665 5.0 GU 4,0 4.878 5.385 5.989 7.779 9.488 11.1430 11.668 13.277 14.860 18.466 4.108 4.642 6.251 7.815 9.348 9.837 11.345 12.838 16.266 6.064 6.626 7.289 9.236 11.070 12.832 13.388 15.086 16.750 20.515 7 8.383 9.037 9.803 12.017 14.067 16.013.0 16.622 1.18.475 20.278 24.321 86 7.2310 7.841 8.558 10.645 12.592 14.449.0 15.033 0.016.812 0 18.548 01 22.457 88 9.524 10.219 11.030 13.362 15.5070 17.535.0 18.168.20.090 21.955 26.124 19. 10.656 11.389 12.242 14.684 16.919 19.023 0 19.679.021.666 23.589 27.877 13.442 15.987 18.307 20.483 21.161 23.209 25.188 29.588 11 12.899 13.701 14.631 17.275 19.675 21.920 22.618 24.725 26.757 31.264 12 14.0118 14.845 15.812 18.549 21.026 23.337 24.0540 26.217 28.300 32.909 13 15.119 15.984 16.985 19.812 24.736 25.471 27.6880 29.819 34.527 23.685 26.119 26.873 0.29.141 31.319 36.124 30.57832.801 37.698 10 11.781 12.549 @ @ 14 16.222 15 17.322 17.117 18.245 16 18.418 19.369 17 S 19.5110 20.489 18.8 20.6010 21.605 19 21.689 22.718 20 22.775 23.828 18.151 21.064 19.311 22.307 24.996 27.488 28.259 12 20.465 21.615 24.769 22.760 25.989 23.900 I 27.204 23.900 27.204 25.038 28.412 23.542 26.296 28.845 29.633 32.000 34.267 39.252 27.587 30.191 30.995 33.409 0 35.718 40.791 28.869 31.526 32.346 34.805 37.156 42.312 30.144 32.852 33.687 36.1919 38.582 1043.819 31.410 34.170 35.020 37.566 39.997 45.314 V 32.671 35.479 36.343 33.924 36.7818 37.659 32.007 35.172 36.415 37.652 40.646 21 29.615 38.932 41.4010 46.796 22 30.813 40.289 10 42.796 48.268 23 38.076 38.076 38.968 41.638 44.181 49.728 39.364 40.270 42.980 45.558 51.179 24 33.196 25 34.382 123 0.30 0.25 0.20 23.858 24.935 26.171 24.939 26.039 27.301 26.018 27.141 28.429 27.096 28.241 29.553 28.172 29.339 30.675 0.10 a 0.05 0.01 6.635 oofs 29.246 30.435 31.795 35.563 30.319 30.319 31.528 32.912 31.391 32.620 34.027 32.461 33.711 35.139 39.087 42.557 41.566 6ec4 44.31468 46.92852.619 38.885 41.923 42.856 45.642 48.290 54.051 36.741 40.113 43.195 44.140 46.963 49.645 00 55.475 37.916 41.337 44.461 45.419 48.278 50.994 56.892 42.557 45.722 46.693 49.588 52.335 00 58.301 30 33.530 34.800 36.250 40.256 43.773 46.979 47.962 50.892 53.672 59.702 40 44.165 45.616 47.269 51.805 55.758 59.342 60.436 63.691 66.766073.403 50 54.723 56.334 58.164 63.167 67.505 71.420 72.613 76.154 79.490 86.660 60 65.226 66.981 68.972 74.397 79.082 83.298 84.58 88.379 91.952 99.608 08.312 819.M 88.89 PUISS TOT.CS 384.78 tee.rs of
For a chi-squared distribution, find the following quantities. (Refer to table A.5 in
your book.)
(a) x3.95 when v = 14.
(b) x.10 when v = 10.
(c) X3.90 when v = 1.
(d) Determine the value of a such that x2 = 18.137 when v = 23.
Transcribed Image Text:For a chi-squared distribution, find the following quantities. (Refer to table A.5 in your book.) (a) x3.95 when v = 14. (b) x.10 when v = 10. (c) X3.90 when v = 1. (d) Determine the value of a such that x2 = 18.137 when v = 23.
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