To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 104.6 and s = 8.5, compute the test statistic. (Round to three decimal places as needed.)

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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t-Distribution Area in Right Tail
1-Distribution
Arca in Right Tail
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
63.657
9.925
5.841
4.604
4.032
636.619
31.599
12.924
8,610
6.869
1
1.000
0.816
0.765
1.376
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
31.821
6.965
4.541
3.747
3.365
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
1
1.061
0.978
0.941
0.920
4.849
3.
0.741
0.727
3.482
2.999
2.757
3
0.718
0.711
8.
1.440
1.415
1.397
1.383
1.372
2.447
2.365
2.306
2.262
2.228
0,906
1.134
1.119
1.108
1.100
1.093
1.943
1.895
1.860
1.833
1.812
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
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
6.
6.
0.706
0.703
0.700
0.896
0,889
0.883
0.879
8
10
4.144
10
0.697
0.695
0.694
0.692
0,691
0.876
0.873
0.870
0.868
0.866
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
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
3.497
3.428
3.372
3.326
3.286
11
4.025
4.437
11
3.930
3.852
3.787
3.733
12
13
4.318
12
13
4.221
14
15
4.140
14
2.249
2.947
4.073
15
0,865
0.863
0,862
0.861
1.337
1.333
2.120
2.110
2.101
2.093
2.086
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2,539
2.528
2.921
2.898
2.878
2.861
2.845
16
17
0.690
0.689
1.071
1.069
1.067
1.066
1.064
1.746
1.740
1.734
1.729
1.725
16
17
0,688
0,688
0.687
1.330
1.328
1.325
18
3.922
3.883
3.850
18
19
19
20
0.860
20
3.135
3.119
3.104
3.091
3.078
21
22
0.686
0.686
0,859
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.189
2.183
2.177
2.518
2.508
2.831
2.819
2.807
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
21
22
0.858
0.858
0857
0856
2.074
2.069
23
0.685
0.685
0.684
2.500
23
1.059
1.058
2.172
2.167
2.797
2.787
24
2.064
2.060
2.492
2.485
24
25
25
26
27
28
0.684
0,684
0,683
0.683
0,683
0856
0,855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
26
27
28
29
30
29
30
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
31
32
0,682
0.682
0.682
0,853
0.853
0,853
0,852
0.852
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.633
3.622
3.611
3.601
3.591
31
32
33
33
34
35
0.682
0.682
34
35
1.306
1.305
1.304
1.304
1.303
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.582
3.574
3.566
3.558
3.551
36
0.681
0.681
0.681
0,681
0.852
0.851
1.052
1.051
1.051
1.050
1.688
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.434
2.719
2.715
36
37
1.687
37
2.127
2.125
2.123
2.431
2.429
2.426
2.423
38
39
0.851
0.851
0.851
1.686
1.685
1.684
2.712
2.708
2.704
3.319
3.313
3.307
38
39
40
0.681
1.050
40
1.047
1.045
2.009
2.000
0.679
0.679
0.678
0.678
0.677
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
50
0.849
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
3.496
3.460
3.435
50
60
0.848
60
0,847
0,846
70
70
1.044
1.043
1.042
1.994
1.990
80
3.416
3.402
80
90
0.846
1.987
90
0.677
0.675
0.674
1.290
1.282
1.282
1.984
1.962
1.960
3.174
3.098
3.090
100
0,845
0.842
0,842
1.042
1.037
1.036
1.660
1.646
1.645
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.390
3.300 1000
3.291 z
100
1000
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
Print
Done
Transcribed Image Text:t-Distribution Area in Right Tail 1-Distribution Arca in Right Tail 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 63.657 9.925 5.841 4.604 4.032 636.619 31.599 12.924 8,610 6.869 1 1.000 0.816 0.765 1.376 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15.894 31.821 6.965 4.541 3.747 3.365 127.321 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 5.893 1 1.061 0.978 0.941 0.920 4.849 3. 0.741 0.727 3.482 2.999 2.757 3 0.718 0.711 8. 1.440 1.415 1.397 1.383 1.372 2.447 2.365 2.306 2.262 2.228 0,906 1.134 1.119 1.108 1.100 1.093 1.943 1.895 1.860 1.833 1.812 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 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 6. 6. 0.706 0.703 0.700 0.896 0,889 0.883 0.879 8 10 4.144 10 0.697 0.695 0.694 0.692 0,691 0.876 0.873 0.870 0.868 0.866 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 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 3.497 3.428 3.372 3.326 3.286 11 4.025 4.437 11 3.930 3.852 3.787 3.733 12 13 4.318 12 13 4.221 14 15 4.140 14 2.249 2.947 4.073 15 0,865 0.863 0,862 0.861 1.337 1.333 2.120 2.110 2.101 2.093 2.086 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2,539 2.528 2.921 2.898 2.878 2.861 2.845 16 17 0.690 0.689 1.071 1.069 1.067 1.066 1.064 1.746 1.740 1.734 1.729 1.725 16 17 0,688 0,688 0.687 1.330 1.328 1.325 18 3.922 3.883 3.850 18 19 19 20 0.860 20 3.135 3.119 3.104 3.091 3.078 21 22 0.686 0.686 0,859 1.063 1.061 1.060 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 2.189 2.183 2.177 2.518 2.508 2.831 2.819 2.807 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 21 22 0.858 0.858 0857 0856 2.074 2.069 23 0.685 0.685 0.684 2.500 23 1.059 1.058 2.172 2.167 2.797 2.787 24 2.064 2.060 2.492 2.485 24 25 25 26 27 28 0.684 0,684 0,683 0.683 0,683 0856 0,855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 27 28 29 30 29 30 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 31 32 0,682 0.682 0.682 0,853 0.853 0,853 0,852 0.852 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.633 3.622 3.611 3.601 3.591 31 32 33 33 34 35 0.682 0.682 34 35 1.306 1.305 1.304 1.304 1.303 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.582 3.574 3.566 3.558 3.551 36 0.681 0.681 0.681 0,681 0.852 0.851 1.052 1.051 1.051 1.050 1.688 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.434 2.719 2.715 36 37 1.687 37 2.127 2.125 2.123 2.431 2.429 2.426 2.423 38 39 0.851 0.851 0.851 1.686 1.685 1.684 2.712 2.708 2.704 3.319 3.313 3.307 38 39 40 0.681 1.050 40 1.047 1.045 2.009 2.000 0.679 0.679 0.678 0.678 0.677 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2.887 2.878 3.261 3.232 3.211 3.195 3.183 50 0.849 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 3.496 3.460 3.435 50 60 0.848 60 0,847 0,846 70 70 1.044 1.043 1.042 1.994 1.990 80 3.416 3.402 80 90 0.846 1.987 90 0.677 0.675 0.674 1.290 1.282 1.282 1.984 1.962 1.960 3.174 3.098 3.090 100 0,845 0.842 0,842 1.042 1.037 1.036 1.660 1.646 1.645 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.390 3.300 1000 3.291 z 100 1000 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 Print Done
To test Ho: µ = 100 versus H,: µ # 100, a simple random sample size of n = 24 is obtained from a population that is known to be normally distributed. Answer parts
(a)-(d).
E Click here to view the t-Distribution Area in Right Tail.
(a) If x = 104.6 and s = 8.5, compute the test statistic.
t=
(Round to three decimal places as needed.)
Transcribed Image Text:To test Ho: µ = 100 versus H,: µ # 100, a simple random sample size of n = 24 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 104.6 and s = 8.5, compute the test statistic. t= (Round to three decimal places as needed.)
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