To test H0:u=100 versus H1:NOT EQUAL TO 100, A SIMPLE RANDOM SAMPLE OF N=21 IS OBTAINED FROM A POPULATION THAT IS KNOWN TO BE NORMALLY DISTRIBUTED.   A.  If x with a bar over it = 104 and s= 9.5 compute the test statistic.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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number 15 chapter 10. part a

Please use the attached table.

To test H0:u=100 versus H1:NOT EQUAL TO 100, A SIMPLE RANDOM SAMPLE OF N=21 IS OBTAINED FROM A POPULATION THAT IS KNOWN TO BE NORMALLY DISTRIBUTED.  

A.  If x with a bar over it = 104 and s= 9.5 compute the test statistic.

 

21
22
0.686
0.686
0.859
0.858
1.063
1.061
1.323
1.721
1.717
2.080
2.074
2.189
2.183
2.518
2.831
2.819
3.135
3.119
3.527
3.505
3.819
3.792
21
22
1.321
2.508
0.685
1.714
1.711
1.708
23
0.858
1.060
1.319
2.069
2.177
2.172
2.500
2.807
3.104
3.485
3.768
23
3.467
3.450
1.059
24
25
1.318
1.316
2.492
2.485
0.685
0.857
2.064
2.797
3.091
3.745
24
0.684
0.856
1.058
2.060
2.167
2.787
3.078
3.725
25
26
0.684
0.856
1.058
1.315
1.706
3.067
2.056
2.052
2.162
2.479
2.779
3.435
3.421
3.707
26
0.684
0.683
0.855
0.855
27
1.057
1.314
1.703
2.158
2.473
2.771
2.763
3.057
3.690
27
1.701
1.699
1.697
2.467
2.462
2.457
28
1.056
1.313
2.048
2.154
3.047
3.408
3.674
28
29
30
0.683
0.683
1.055
1.055
0.854
1.311
1.310
2.045
2.042
2.150
2.147
2.756
2.750
3.038
3.396
3.659
3.646
29
30
0.854
3.030
3.385
0.682
0.682
31
0.853
1.054
1.309
1.696
2.040
2.144
2.453
2.744
3.022
3.015
3.375
3.633
31
32
0.853
1.054
1.309
1.694
2.037
2.141
2.449
2.738
3.365
3.356
3.622
32
33
34
35
0.682
0.853
1.053
1.308
1.692
2.035
2.138
2.445
2.733
3.008
3.611
3.601
3.591
33
0.852
0.852
1.691
1.690
2.032
2.030
0.682
1.052
1.052
1.307
2.136
2.133
2.441
2.438
2.728
2.724
3.002
3.348
34
35
0.682
1.306
2.996
3.340
36
0.681
0.852
1.052
1.306
1.688
2.028
2.131
2.434
2.719
2.990
3.333
3.582
36
2.715
2.712
2.708
37
0.681
0.851
1.051
1.305
1.687
2.026
2.129
2.431
2.985
3.326
3.574
37
38
39
0.681
0.681
0.851
0.851
1.051
1.050
1.304
1.686
1.685
2.024
2.023
2.127
2.125
2.429
2.426
2.980
2.976
3.319
3.313
3.566
3.558
38
39
1.304
40
0.681
0.851
1.050
1.303
1.684
2.021
2.123
2.423
2.704
2.971
3.307
3.551
40
50
0.679
0.849
1.047
1.299
1.676
2.009
2.109
2.403
2.678
2.937
3.261
3.496
50
0670
1 045
1 206
2 n00
2 200
2 660
2 015
2 A60
1671
Transcribed Image Text:21 22 0.686 0.686 0.859 0.858 1.063 1.061 1.323 1.721 1.717 2.080 2.074 2.189 2.183 2.518 2.831 2.819 3.135 3.119 3.527 3.505 3.819 3.792 21 22 1.321 2.508 0.685 1.714 1.711 1.708 23 0.858 1.060 1.319 2.069 2.177 2.172 2.500 2.807 3.104 3.485 3.768 23 3.467 3.450 1.059 24 25 1.318 1.316 2.492 2.485 0.685 0.857 2.064 2.797 3.091 3.745 24 0.684 0.856 1.058 2.060 2.167 2.787 3.078 3.725 25 26 0.684 0.856 1.058 1.315 1.706 3.067 2.056 2.052 2.162 2.479 2.779 3.435 3.421 3.707 26 0.684 0.683 0.855 0.855 27 1.057 1.314 1.703 2.158 2.473 2.771 2.763 3.057 3.690 27 1.701 1.699 1.697 2.467 2.462 2.457 28 1.056 1.313 2.048 2.154 3.047 3.408 3.674 28 29 30 0.683 0.683 1.055 1.055 0.854 1.311 1.310 2.045 2.042 2.150 2.147 2.756 2.750 3.038 3.396 3.659 3.646 29 30 0.854 3.030 3.385 0.682 0.682 31 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.015 3.375 3.633 31 32 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.365 3.356 3.622 32 33 34 35 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.611 3.601 3.591 33 0.852 0.852 1.691 1.690 2.032 2.030 0.682 1.052 1.052 1.307 2.136 2.133 2.441 2.438 2.728 2.724 3.002 3.348 34 35 0.682 1.306 2.996 3.340 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 2.990 3.333 3.582 36 2.715 2.712 2.708 37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.985 3.326 3.574 37 38 39 0.681 0.681 0.851 0.851 1.051 1.050 1.304 1.686 1.685 2.024 2.023 2.127 2.125 2.429 2.426 2.980 2.976 3.319 3.313 3.566 3.558 38 39 1.304 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 50 0670 1 045 1 206 2 n00 2 200 2 660 2 015 2 A60 1671
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
1
1.000
1.376
1.963
3.078
6.314
12.706
15.894
31.821
63.657
127.321
318.309
636.619
1
31.599
12.924
8.610
0.816
1.061
1.386
1.886
2.920
4.303
4.849
6.965
9.925
14.089
22.327
1.638
1.533
5.841
4.604
3
0.765
0.741
0.978
1.250
1.190
2.353
2.132
3.182
2.776
3.482
2.999
4.541
3.747
7.453
5.598
10.215
3
0.941
7.173
5.893
0.727
0.920
1.156
1.476
2.015
2571
2.757
3.365
4.032
4.773
6.869
5
1.134
1.119
0.718
0.906
1.440
5.959
1.943
1.895
1.860
2.447
2.612
3.143
3.707
4.317
5.208
6.
3.499
3.355
7
0.711
0.706
0.896
0.889
1.415
1.397
2.365
2.306
2.517
2.449
2.998
2.896
4.029
3.833
4.785
4.501
5.408
5.041
7
1.108
1.100
0.883
1.383
1.372
0.703
1.833
2.262
2.398
2.821
3.250
3.690
4.297
4.781
10
0.700
0.879
1.093
1.812
2.228
2.359
2.764
3.169
3.581
4.144
4.587
10
3.106
3.055
3.012
3.497
3.428
4.025
3.930
3.852
11
0.697
0.876
1.088
1.363
1.796
2.201
2.328
2.718
2.681
2.650
4.437
11
0.873
0.870
2.179
2.160
2.145
2.131
12
13
0.695
0.694
1.083
1.079
1.076
1.356
1.350
1.345
1.782
1.771
2.303
4.318
4.221
12
13
0.692
0.691
1.761
1.753
2.282
2.264
2.249
3.372
3.326
14
0.868
2.624
2.977
2.947
3.787
4.140
14
15
0.866
1.074
1.341
2.602
3.286
3.733
4.073
15
16
17
0.690
0.689
0.865
0.863
1.071
1.069
1.337
1.333
1.330
2.583
2.567
1.746
2.120
2.110
2.235
2.224
2.921
2.898
3.252
3.686
3.646
4.015
16
17
1.740
3.222
3.197
3.965
18
0.688
0.862
1.067
1.734
2.101
2.214
2.552
2.539
2.878
3.610
3.922
18
3.579
3.552
3.883
3.850
19
0.688
0.861
1.066
1.328
1.729
2.093
2.205
2.861
3.174
19
20
0.687
0.860
1.064
1.325
1.725
2.086
2.197
2.528
2.845
3.153
20
Transcribed Image Text: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 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 1 31.599 12.924 8.610 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 1.638 1.533 5.841 4.604 3 0.765 0.741 0.978 1.250 1.190 2.353 2.132 3.182 2.776 3.482 2.999 4.541 3.747 7.453 5.598 10.215 3 0.941 7.173 5.893 0.727 0.920 1.156 1.476 2.015 2571 2.757 3.365 4.032 4.773 6.869 5 1.134 1.119 0.718 0.906 1.440 5.959 1.943 1.895 1.860 2.447 2.612 3.143 3.707 4.317 5.208 6. 3.499 3.355 7 0.711 0.706 0.896 0.889 1.415 1.397 2.365 2.306 2.517 2.449 2.998 2.896 4.029 3.833 4.785 4.501 5.408 5.041 7 1.108 1.100 0.883 1.383 1.372 0.703 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700 0.879 1.093 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 10 3.106 3.055 3.012 3.497 3.428 4.025 3.930 3.852 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 2.681 2.650 4.437 11 0.873 0.870 2.179 2.160 2.145 2.131 12 13 0.695 0.694 1.083 1.079 1.076 1.356 1.350 1.345 1.782 1.771 2.303 4.318 4.221 12 13 0.692 0.691 1.761 1.753 2.282 2.264 2.249 3.372 3.326 14 0.868 2.624 2.977 2.947 3.787 4.140 14 15 0.866 1.074 1.341 2.602 3.286 3.733 4.073 15 16 17 0.690 0.689 0.865 0.863 1.071 1.069 1.337 1.333 1.330 2.583 2.567 1.746 2.120 2.110 2.235 2.224 2.921 2.898 3.252 3.686 3.646 4.015 16 17 1.740 3.222 3.197 3.965 18 0.688 0.862 1.067 1.734 2.101 2.214 2.552 2.539 2.878 3.610 3.922 18 3.579 3.552 3.883 3.850 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.861 3.174 19 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 20
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