To test Ho: H= 107 versus H;: u#107 a simple random sample of size n= 35 is obtained. Complete parts a through e below. E Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. No, because n2 30. 1-1 B. Yes, because the sample is random. Area OC. Yes, because n2 30. JP 0.25 0.20 0.15 0.10 0,05 0.025 D. No, because the test is two-tailed. 1.000 1 376 1963 3078 6314 12 706 O O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 3

To test Ho: µ = 107 versus H,: µ+ 107 a simple random sample of size n= 35 is obtained. Complete parts a throughe below.
Click here to view the t-Distribution Area in Right Tail.
T-distribution area in right tail
(a) Does the population have to be normally distributed to test this hypothesis? Why?
O A. No, because n2 30.
t-Distribution
B. Yes, because the sample is random.
Area in Right Tail
C. Yes, because n2 30.
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
D. No, because the test is two-tailed.
6.314
2.920
2.353
2.132
2.015
1.376
1.963
3.078
1.886
1.638
1.533
15.894
31.821
63.657
9.925
5.841
4.604
4.032
127.321
318.309
22.327
636.619
31.599
1
1.000
12.706
4.303
3.182
2.776
2.571
1
0.816
0.765
0.741
1.061
0.978
0.941
0.920
6.965
4.541
3.747
3.365
14.089
7.453
5.598
1.386
4.849
1.250
1.190
1.156
3.482
2.999
2.757
3
10.215
7.173
5.893
12.924
8.610
3
4
5
0.727
1.476
4.773
6.869
1.943
1.895
1.860
1.833
1.812
0.718
0.906
1.134
1.440
2.447
2.612
3.143
3.707
5.959
4.317
4.029
3.833
5.208
1.415
1.397
2.365
2.306
7
0.711
8
0.706
0.703
3.499
3.355
3.250
3.169
0.896
0.889
1.119
1.108
1.100
2.517
2.449
2.998
2.896
2.821
4.785
4.501
4.297
4.144
5.408
5.041
8
2.262
2.228
3.690
3.581
4.781
4.587
0.883
1.383
1.372
9
2.398
10
0.700
0.879
1.093
2.359
2.764
10
1.796
1.782
1.771
1.761
1.753
2.328
2.303
2.282
2.264
2.249
3.497
3.428
3.372
3.326
3.286
4.437
4.318
4.221
4.140
4.073
0.697
0.876
0.873
0.870
1.363
1.356
1.350
2.201
3.106
3.055
3.012
2.977
4.025
3.930
3.852
3.787
3.733
11
1.088
1.083
1.079
1.076
2.718
11
2.179
2.160
2.145
2.131
12
13
0.695
0.694
0.692
2.681
2.650
2.624
12
13
0.868
0.866
1.345
1.341
14
14
15
0.691
1.074
2.602
2.947
15
0.690
0.689
1.337
1.333
1.330
1.746
1.740
1.734
2.120
2.110
2.101
2.235
2.224
2.583
2.567
2.552
3.252
3.222
4.015
3.965
3.922
3.883
3.850
16
17
0.865
0.863
0.862
1.071
1.069
2.921
2.898
3.686
3.646
16
17
0.688
0.688
0.687
3.197
3.174
3.153
18
1.067
2.214
2.205
2.197
2.878
3.610
18
1.066
1.064
2.093
2.086
2.539
2.528
2.861
2.845
3.579
3.552
19
0.861
1.328
1.729
1.725
19
20
0.860
1.325
20
0.859
0.858
0.858
0.857
1.063
1.061
1.721
1.717
3.135
3.119
3.527
3.505
2.080
2.074
2.069
2.064
21
22
0.686
0.686
3.819
3.792
1.323
1.321
1.319
1.318
2.189
2.183
2.177
2.518
2.508
2.500
2.831
2.819
2.807
2.797
21
22
0.685
0.685
1.060
1.059
1.058
1.714
1.711
1.708
3.104
3.091
3.485
3.467
3.450
23
3.768
23
2.172
2.167
24
2.492
3.745
24
25
0.684
0.856
1.316
2.060
2.485
2.787
3.078
3.725
25
1.058
1.057
0.856
0.855
0.855
2.056
2.052
2.048
2.045
2.042
1.706
1.703
2.162
2.158
2.154
26
0.684
1.315
2.479
2.779
3.067
3.435
3.707
26
3.057
1.314
1.313
1.311
1.310
27
0.684
2.473
2.771
3.421
3.690
27
0.683
0.683
0.683
1.056
1.055
1.055
1.701
1.699
1.697
3.674
3.659
3.646
28
2.467
2.763
3.047
3.038
3.030
3.408
28
29
30
0.854
0.854
2.150
2.147
2.462
2.457
2.756
2.750
3.396
3.385
29
30
31
0.682
0.853
1.054
1.309
1.696
2.040
2.144
2.453
2.744
3.022
3.375
3.633
31
1A00
3.017
2015
Transcribed Image Text:To test Ho: µ = 107 versus H,: µ+ 107 a simple random sample of size n= 35 is obtained. Complete parts a throughe below. Click here to view the t-Distribution Area in Right Tail. T-distribution area in right tail (a) Does the population have to be normally distributed to test this hypothesis? Why? O A. No, because n2 30. t-Distribution B. Yes, because the sample is random. Area in Right Tail C. Yes, because n2 30. df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df D. No, because the test is two-tailed. 6.314 2.920 2.353 2.132 2.015 1.376 1.963 3.078 1.886 1.638 1.533 15.894 31.821 63.657 9.925 5.841 4.604 4.032 127.321 318.309 22.327 636.619 31.599 1 1.000 12.706 4.303 3.182 2.776 2.571 1 0.816 0.765 0.741 1.061 0.978 0.941 0.920 6.965 4.541 3.747 3.365 14.089 7.453 5.598 1.386 4.849 1.250 1.190 1.156 3.482 2.999 2.757 3 10.215 7.173 5.893 12.924 8.610 3 4 5 0.727 1.476 4.773 6.869 1.943 1.895 1.860 1.833 1.812 0.718 0.906 1.134 1.440 2.447 2.612 3.143 3.707 5.959 4.317 4.029 3.833 5.208 1.415 1.397 2.365 2.306 7 0.711 8 0.706 0.703 3.499 3.355 3.250 3.169 0.896 0.889 1.119 1.108 1.100 2.517 2.449 2.998 2.896 2.821 4.785 4.501 4.297 4.144 5.408 5.041 8 2.262 2.228 3.690 3.581 4.781 4.587 0.883 1.383 1.372 9 2.398 10 0.700 0.879 1.093 2.359 2.764 10 1.796 1.782 1.771 1.761 1.753 2.328 2.303 2.282 2.264 2.249 3.497 3.428 3.372 3.326 3.286 4.437 4.318 4.221 4.140 4.073 0.697 0.876 0.873 0.870 1.363 1.356 1.350 2.201 3.106 3.055 3.012 2.977 4.025 3.930 3.852 3.787 3.733 11 1.088 1.083 1.079 1.076 2.718 11 2.179 2.160 2.145 2.131 12 13 0.695 0.694 0.692 2.681 2.650 2.624 12 13 0.868 0.866 1.345 1.341 14 14 15 0.691 1.074 2.602 2.947 15 0.690 0.689 1.337 1.333 1.330 1.746 1.740 1.734 2.120 2.110 2.101 2.235 2.224 2.583 2.567 2.552 3.252 3.222 4.015 3.965 3.922 3.883 3.850 16 17 0.865 0.863 0.862 1.071 1.069 2.921 2.898 3.686 3.646 16 17 0.688 0.688 0.687 3.197 3.174 3.153 18 1.067 2.214 2.205 2.197 2.878 3.610 18 1.066 1.064 2.093 2.086 2.539 2.528 2.861 2.845 3.579 3.552 19 0.861 1.328 1.729 1.725 19 20 0.860 1.325 20 0.859 0.858 0.858 0.857 1.063 1.061 1.721 1.717 3.135 3.119 3.527 3.505 2.080 2.074 2.069 2.064 21 22 0.686 0.686 3.819 3.792 1.323 1.321 1.319 1.318 2.189 2.183 2.177 2.518 2.508 2.500 2.831 2.819 2.807 2.797 21 22 0.685 0.685 1.060 1.059 1.058 1.714 1.711 1.708 3.104 3.091 3.485 3.467 3.450 23 3.768 23 2.172 2.167 24 2.492 3.745 24 25 0.684 0.856 1.316 2.060 2.485 2.787 3.078 3.725 25 1.058 1.057 0.856 0.855 0.855 2.056 2.052 2.048 2.045 2.042 1.706 1.703 2.162 2.158 2.154 26 0.684 1.315 2.479 2.779 3.067 3.435 3.707 26 3.057 1.314 1.313 1.311 1.310 27 0.684 2.473 2.771 3.421 3.690 27 0.683 0.683 0.683 1.056 1.055 1.055 1.701 1.699 1.697 3.674 3.659 3.646 28 2.467 2.763 3.047 3.038 3.030 3.408 28 29 30 0.854 0.854 2.150 2.147 2.462 2.457 2.756 2.750 3.396 3.385 29 30 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.375 3.633 31 1A00 3.017 2015
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