Assume that both populations are normally distributed a) Test whether u, #42 at the a = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, -H2- A Student t-Distribution Table E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. Ho: H = H2. H,: 4 >H2 B. Ho: H1 = 2, H,:H #H2 OC. Ho: H, = 2, H: H1

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
Assume that both populations are normally distributed.
a) Test whether µ, + µ2 at the a = 0.05 level of significance for the given sample data.
Sample 1
Sample 2
n
12
12
b) Construct a 95% confidence interval about µu, - H2.
17.2
19.1
S
4.2
4.1
Student t-Distribution Table
Click the icon to view the Student t-distribution table.
a) Perform a hypothesis test. Determine the null and alternative hypotheses.
A. Ho: H1 = H2, H1: H1 > H2
B. Ho: H1 = H2, H1:H1 #H2
C. Ho: H1 = H2, H1: Hy <H2
· Area in
right tail
D. Ho: H1 # H2, H1: H1 = H2
t-Distribution
Area in Right Tail
Degrees of
Freedom
Determine the test statistic.
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1.376
15.894
4.849
3.482
2.999
2.757
31.821
6.965
127.321
14.089
7.453
5.598
4.773
1
1.000
1.963
1.386
1.250
3.078
1.886
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
63.657
9.925
5.841
4.604
4.032
318.309 636.619
22.327
10.215
7173
5.893
t=
(Round to two decimal places as needed.)
0.816
0.765
0.741
0.727
31.599
12.924
1.061
0.978
0.941
0.920
3
1.190
1.156
1.638
1.533
4.541
3.747
3.365
8.610
5
1.476
6.869
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
5.959
5.408
5.041
4.781
4.587
2.612
2.517
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
8
2.449
2.398
2.359
9
10
4.144
11
12
13
14
15
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
3.497
3.428
0.868
0.866
3.372
3.326
3.286
4.140
4.073
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
2.235
2.224
2.214
2.205
2.197
3.252
3.222
3.197
3.174
3.153
1.071
16
17
18
19
20
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
0.860
21
22
23
24
25
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
Enter your answer in the answer box and then click Check Answer.
0.857
0.856
?
Transcribed Image Text:Assume that both populations are normally distributed. a) Test whether µ, + µ2 at the a = 0.05 level of significance for the given sample data. Sample 1 Sample 2 n 12 12 b) Construct a 95% confidence interval about µu, - H2. 17.2 19.1 S 4.2 4.1 Student t-Distribution Table Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. A. Ho: H1 = H2, H1: H1 > H2 B. Ho: H1 = H2, H1:H1 #H2 C. Ho: H1 = H2, H1: Hy <H2 · Area in right tail D. Ho: H1 # H2, H1: H1 = H2 t-Distribution Area in Right Tail Degrees of Freedom Determine the test statistic. 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.376 15.894 4.849 3.482 2.999 2.757 31.821 6.965 127.321 14.089 7.453 5.598 4.773 1 1.000 1.963 1.386 1.250 3.078 1.886 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 63.657 9.925 5.841 4.604 4.032 318.309 636.619 22.327 10.215 7173 5.893 t= (Round to two decimal places as needed.) 0.816 0.765 0.741 0.727 31.599 12.924 1.061 0.978 0.941 0.920 3 1.190 1.156 1.638 1.533 4.541 3.747 3.365 8.610 5 1.476 6.869 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 2.612 2.517 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 8 2.449 2.398 2.359 9 10 4.144 11 12 13 14 15 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 3.497 3.428 0.868 0.866 3.372 3.326 3.286 4.140 4.073 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 2.235 2.224 2.214 2.205 2.197 3.252 3.222 3.197 3.174 3.153 1.071 16 17 18 19 20 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 0.860 21 22 23 24 25 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 Enter your answer in the answer box and then click Check Answer. 0.857 0.856 ?
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