A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach. Ho: ² ≤ 50 ² > 50 H₂ : est statistic = -value low from table = D-value high from table= <.05=[ Reject Ho if x² 2 - Select your answer Hide Feedback Incorrect (to 2 decimals) (to 3 decimals) (to 3 decimals). Use Table 11.1. (to 3 decimals). Use Table 11.1. (to 3 decimals) x Hint( Hint(

MATLAB: An Introduction with Applications
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A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach.
Ho: ²50
H₂ : ² > 50
Test statistic =
p-value low from table=
p-value high from table=
X0.05 =
Reject Ho if x² >
- Select your answer -
Hide Feedback
Incorrect
(to 2 decimals)
(to 3 decimals)
(to 3 decimals). Use Table 11.1.
(to 3 decimals). Use Table 11.1.
(to 3 decimals)
Hint(
Hint(
Transcribed Image Text:A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach. Ho: ²50 H₂ : ² > 50 Test statistic = p-value low from table= p-value high from table= X0.05 = Reject Ho if x² > - Select your answer - Hide Feedback Incorrect (to 2 decimals) (to 3 decimals) (to 3 decimals). Use Table 11.1. (to 3 decimals). Use Table 11.1. (to 3 decimals) Hint( Hint(
TABLE 11.1 Selected Values from the Chi-Square Distribution Table*
Degrees
of Freedom
LEAST ONE THAT * *** 9888
2
3
4
5
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
80
.99 .975
.000
.001
.020
.051
.115
216
.297
484
.554
.872
1.239
1.647 2.180
2.088 2.700
2.558 3.247
3.053 3.816
3.571
4.107
4.660
6.408
7.015
7.633
5.229 6.262
5.812 6.908
7.564
11.524
12.198
.95
.831
1.145
1.237
1.635
1.690 2.167
12.878
13.565
14.256
.004
.103
.352
.711
3.940
4.575
4.404 5.226
5.009
5.892
5.629
6.571
7.261
7.962
8.672
8.231
9.390
8.907 10.117
8.260
9.591
10.851
8.897 10.283 11.591
9.542 10.982
12.338
10.196
11.689 13.091
10.856
12.401
2.733
3.325 4.168
.016
.211
.584
1.064
Area in Upper Tail
.90
.10
2.706
4.605 5.991
6.251
7.779
4.865
5.578
6.304
7.041
7.790
1.610
2.204
2.833
12.017 14.067
16.013
3.490 13.362 15.507 17.535
14.684 16.919 19.023
8.547
9.312
Xa
10.085
10.865
11.651
Area or
probability
14.848
13.848 15.659
.05 .025
3.841 5.024
7.378
7.815 9.348
9.488 11.143
9.236 11.070 12.832
15.086
10.645 12.592 14.449 16.812
18.475
15.987
18.307 20.483
17.275
19.675 21.920
18.549 21.026 23.337
19.812 22.362 24.736
21.064 23.685 26.119
12.443
13.240
14.041 30.813
24.996
27.488
26.296 28.845
27.587 30.191
.01
6.635
9.210
11.345
13.277
22.307
23.542
24.769
25.989 28.869
31.526 34.805
27.204 30.144 32.852 36.191
13.120 14.611 16.473
34.382
13.844
15.379
17.292
35.563
14.573
16.151
18.114 36.741 40.113
15.308
16.928
18.939 37.916
16.047
17.708 19.768
20.090
21.666
100
*Note: A more extensive table is provided as Table 3 of Appendix B (available online).
23.209
24.725
26.217
27.688
29.141
28.412 31.410 34.170 37.566
29.615 32.671 35.479 38.932
33.924 36.781
40.289
32.007 35.172 38.076
41.638
33.196
36.415 39.364
42.980
30.578
32.000
33.409
37.652
40.646
44.314
38.885 41.923 45.642
43.195
46.963
44.461
48.278
41.337
39.087 42.557 45.722
49.588
14.953
16.791
18.493 20.599
40.256 43.773 46.979 50.892
51.805 55.758 59.342 63.691
22.164
24.433
26.509 29.051
37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379
53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329
70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807
Transcribed Image Text:TABLE 11.1 Selected Values from the Chi-Square Distribution Table* Degrees of Freedom LEAST ONE THAT * *** 9888 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 80 .99 .975 .000 .001 .020 .051 .115 216 .297 484 .554 .872 1.239 1.647 2.180 2.088 2.700 2.558 3.247 3.053 3.816 3.571 4.107 4.660 6.408 7.015 7.633 5.229 6.262 5.812 6.908 7.564 11.524 12.198 .95 .831 1.145 1.237 1.635 1.690 2.167 12.878 13.565 14.256 .004 .103 .352 .711 3.940 4.575 4.404 5.226 5.009 5.892 5.629 6.571 7.261 7.962 8.672 8.231 9.390 8.907 10.117 8.260 9.591 10.851 8.897 10.283 11.591 9.542 10.982 12.338 10.196 11.689 13.091 10.856 12.401 2.733 3.325 4.168 .016 .211 .584 1.064 Area in Upper Tail .90 .10 2.706 4.605 5.991 6.251 7.779 4.865 5.578 6.304 7.041 7.790 1.610 2.204 2.833 12.017 14.067 16.013 3.490 13.362 15.507 17.535 14.684 16.919 19.023 8.547 9.312 Xa 10.085 10.865 11.651 Area or probability 14.848 13.848 15.659 .05 .025 3.841 5.024 7.378 7.815 9.348 9.488 11.143 9.236 11.070 12.832 15.086 10.645 12.592 14.449 16.812 18.475 15.987 18.307 20.483 17.275 19.675 21.920 18.549 21.026 23.337 19.812 22.362 24.736 21.064 23.685 26.119 12.443 13.240 14.041 30.813 24.996 27.488 26.296 28.845 27.587 30.191 .01 6.635 9.210 11.345 13.277 22.307 23.542 24.769 25.989 28.869 31.526 34.805 27.204 30.144 32.852 36.191 13.120 14.611 16.473 34.382 13.844 15.379 17.292 35.563 14.573 16.151 18.114 36.741 40.113 15.308 16.928 18.939 37.916 16.047 17.708 19.768 20.090 21.666 100 *Note: A more extensive table is provided as Table 3 of Appendix B (available online). 23.209 24.725 26.217 27.688 29.141 28.412 31.410 34.170 37.566 29.615 32.671 35.479 38.932 33.924 36.781 40.289 32.007 35.172 38.076 41.638 33.196 36.415 39.364 42.980 30.578 32.000 33.409 37.652 40.646 44.314 38.885 41.923 45.642 43.195 46.963 44.461 48.278 41.337 39.087 42.557 45.722 49.588 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 51.805 55.758 59.342 63.691 22.164 24.433 26.509 29.051 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807
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