A sample of 17 items provides a sample standard deviation of 8.7. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach. Test statistic = p-value low from table = p-value high from table = X0.05 = Reject Ho if x² > (to 3 decimals) (to 3 decimals) Select your answer - Ho: o² ≤ 51 Ha: o² > 51 (to 3 decimals). Use Table 11.1. (to 3 decimals). Use Table 11.1. (to 3 decimals)
A sample of 17 items provides a sample standard deviation of 8.7. Test the following hypotheses using a = 0.05. What is your conclusion? Use both the p-value approach and the critical value approach. Test statistic = p-value low from table = p-value high from table = X0.05 = Reject Ho if x² > (to 3 decimals) (to 3 decimals) Select your answer - Ho: o² ≤ 51 Ha: o² > 51 (to 3 decimals). Use Table 11.1. (to 3 decimals). Use Table 11.1. (to 3 decimals)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:TABLE 11.1 Selected Values from the Chi-Square Distribution Table*
Degrees
of Freedom .99
1234
2
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
.000
.020
.115
297
554
.872
1.239
1.647
2.088
.975
.001
.051
216
484
.95
2.558 3.247
3.053 3.816
3.571
4.404
4.107 5.009
4.660 5.629
.004
.103
.352
711
.831
1.145
1.237 1.635
1.690 2.167
2.180 2.733
2.700 3.325
.016
211
584
1.064
8.897
8.260 9.591 10.851
10.283 11.591
10.982
11.689 13.091
9.542
10.196
10.856 12.401
13.848
Area in Upper Tail
.90
1.610
2.204
2.833
3.490
4.168
3.940
4.865
4.575
5.578
5.226
6.304
5.892
7.041
6.571 7.790
Xa
12.443
13.240
12.338 14.041
14.848
15.659
Area or
probability
11.524 13.120 14.611 16.473
12.198 13.844 15.379 17.292
12.878 14.573 16.151 18.114
16.928 18.939
13.565 15.308
16.047
14.256
17.708 19.768
.10
.05 .025 .01
2.706
3.841 5.024
6.635
4.605 5.991 7.378
9.210
6.251 7.815
9.348
11.345
7.779
9.488
11.143
13.277
9.236 11.070 12.832
10.645
12.592 14.449
14.067 16.013 18.475
17.535
20.090
16.919 19.023
21.666
6.262 7.261
5.229
8.547
5.812 6.908
7.962
9.312 23.542
6.408 7.564 8.672 10.085 24.769
7.015 8.231 9.390 10.865 25.989
7.633 8.907 10.117 11.651 27.204
28.412
12.017
13.362 15.507
14.684
15.987 18.307 20.483
17.275 19.675 21.920
18.549 21.026
23.337
26.217
19.812 22.362 24.736 27.688
23.685 26.119 29.141
21.064
22.307 24.996 27.488 30.578
32.000
26.296 28.845
27.587 30.191
33.409
34.805
36.191
28.869 31.526
30.144 32.852
15.086
16.812
23.209
24.725
31.410 34.170
37.566
29.615 32.671
35.479
38.932
33.924 36.781
40.289
30.813
32.007 35.172 38.076 41.638
33.196 36.415 39.364 42.980
14.953 16.791
18.493 20.599
22.164 24.433
26.509 29.051
60
37.485 40.482 43.188 46.459
80
53.540 57.153 60.391 64.278
100
70.065 74.222 77.929 82.358 118.498
*Note: A more extensive table is provided as Table 3 of Appendix B (available online).
34.382 37.652 40.646 44.314
35.563 38.885 41.923 45.642
36.741 40.113 43.195 46.963
37.916 41.337 44.461 48.278
39.087 42.557 45.722 49.588
40.256 43.773 46.979 50.892
51.805 55.758 59.342 63.691
74.397 79.082 83.298 88.379
96.578 101.879 106.629 112.329
124.342 129.561 135.807
Transcribed Image Text:A sample of 17 items provides a sample standard deviation of 8.7. Test the following hypotheses using a =
conclusion? Use both the p-value approach and the critical value approach.
Test statistic =
p-value low from table =
p-value high from table =
X3.05
Reject Ho if x² >
- Select your answer -
=
(to 3 decimals)
(to 3 decimals)
(to 3 decimals)
V
Ho: ² ≤ 51
H₂: o² > 51
(to 3 decimals). Use Table 11.1.
(to 3 decimals). Use Table 11.1.
0.05. What is your
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